BINOM.DIST in Excel

Calculations with the binomial distribution formula can quite tedious and difficult. The reason for this is due to the number and types of terms in the formula.  As with many calculations in probability, Excel can be utilized to expedite the process. Background on the Binomial Distribution The binomial distribution is a discrete probability distribution. In order to use this distribution, we need to make sure that the following conditions are met: There are a total of n independent trials.  Each of these trials can be classified as a success or failure.The probability of success is a constant p. The probability that exactly k of our n trials are successes is given by the formula: C( n, k) pk (1 - p)n – k. In the above formula, the expression C( n, k) denotes the binomial coefficient. This is the number of ways to form a combination of k elements from a total of n. This coefficient involves the use of the factorial, and so C(n, k) n!/[k!(n – k)! ]. COMBIN Function The first function in Excel related to the binomial distribution is COMBIN. This function calculates the binomial coefficient C( n, k), also known as the number of combinations of k elements from a set of n. The two arguments for the function are the number n of trials and k the number of successes. Excel defines the function in terms of the following: COMBIN(number, number chosen) Thus if there are 10 trials and 3 successes, there are a total of C(10, 3) 10!/(7!3!) 120 ways for this to occur. Entering COMBIN(10,3) into a cell in a spreadsheet will return the value 120. BINOM.DIST Function The other function that is important to know about in Excel is BINOM.DIST. There are a total of four arguments for this function in the following order: Number_s is the number of successes. This is what we have been describing as k.Trials are the total number of trials or n.Probability_s is the probability of a success, which we have been denoting as p.Cumulative uses an input either of true or false to calculate a cumulative distribution. If this argument is false or 0, then the function returns the probability that we have exactly k successes. If the argument is true or 1, then the function returns the probability that we have k successes or less. For example, the probability that exactly three coins out of 10 coin flips are heads is given by BINOM.DIST(3, 10, .5, 0). The value returned here is 0.11788. The probability that from flipping 10 coins at most three are heads is given by BINOM.DIST(3, 10, .5, 1). Entering this into a cell will return the value 0.171875. This is where we can see the ease of using the BINOM.DIST function. If we did not use software, we would add together the probabilities that we have no heads, exactly one head, exactly two heads or exactly three heads. This would mean that we would need to calculate four different binomial probabilities and add these together. BINOMDIST Older versions of Excel use a slightly different function for calculations with the binomial distribution. Excel 2007 and earlier use the BINOMDIST function. Newer versions of Excel are backward compatible with this function and so BINOMDIST is an alternate way to calculate with these older versions.

The Education System Of The United States - 829 Words

Recent surveys and articles state that Over 30% of kids in the United States never finish high school. For minority kids, it s over 50%.1. The public education system in the United States seems to be failing to meet the needs of the children and thus affecting their future outcomes. The average quality of education in Elementary, Middle and High school that a child deserves, is far from superior. Given the growing competition in the world it is imperative to provide a solid educational foundation especially in the field of Math, Science and Reading. Being originally born and brought up in India, I believe I know the importance and value that a good education provides. Laying an early foundation in children is extremely essential for their success and continued ability to learn better and strive harder. For example, the education system in India and many parts of Asia is so competitive that parents are always looking for additional avenues to help their child learn and be successful. After-school tutoring begins there at a very early age. The schools play an active role in educating the children based on the curriculum and after-school tutoring reinforce the topics covered in school. Tutoring also reassures the parents that the child is capable of doing good and getting excellent grades. Emphasis on a strong foundation starts at an early age with the basics like alphabets and numbers. Children work at a far more advanced pace and progress rapidly with much more difficultShow MoreRelatedThe Education System Of The United States109 0 Words   |  5 Pages The education system in the United States is a problem. One problem is that many of the students attending school today live in poverty. Another problem with the education system is that the curriculums are not being altered to the skills needed in the world today. Furthermore, students are not allowed to use their individual learning styles in the classroom. 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Students in our nation have a choice whether or not to attend prestigious higher-level institutions in order to educate themselves and prepare themselves for the job market. The U.S. has an outstanding reputation of educating students as well as ma king education available to everyone in the country. Whether it beRead MoreThe Education System Of The United States971 Words   |  4 Pagesdifferent classes in the United States. As much as we want to believe that we live in an equal country, in reality we far from it. There are people barely hanging on to be able to eat enough and to find a place to sleep with other people on the other end of the spectrum who own multiple homes and waste enough food to feed many of the families on the opposite end of the spectrum. The thing that all of the classes have in common is the push for education and higher education specifically. 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Often times, U.S. teachers try to blame the media for the faults of youth today, but they lack the understanding that their â€Å"tightly scripted systems of management, measurement, and marketing† push those same kids to seekRead MoreThe United States Education System972 Words   |  4 Pageswould think that as a World Superpower the United States education system would be producing exceptionally high caliber young men and women to become contributing members of society upon graduation. However, in many ways, the opposite is shown to be the case, with declining test scores, with a 19% dropout rate among high school students, with a 41% drop out rate of college students, and 40% of the graduates unprepared to either continue their educations at universities or become worthwhile members

The Accomplishments Of Harriet Tubman Essay Example For Students

The Accomplishments Of Harriet Tubman Essay The Accomplishments Of Harriet Tubman Essay Harriet Tubman was a black woman born into slavery. Harriet was an abolitionist and strongly believed that all slaves should be free. Harriet learned that her master had died and that she would be sold if she did not run away. At the age of twenty-five, Harriet left her plantation and was on the run to a free state (Harriet par 1). Harriet made her way ninety miles from Maryland to Philadelphia. There she began to work and make a living for herself. She decided that she was going to free other slaves so she began to make her journey back to the Southern states twice a year to free as many slaves as she could (Bentley 47-49). The Underground Railroad was how Harriet freed hundreds of slaves, including her aging parents. The Underground Railroad was a route that Harriet took to free the slaves. She would have covered wagons with fixed bottoms, which were filled with slaves. She would take them to various homes of other abolitionists for food and shelter throughout the night. Once day broke Harriet would continue her journey towards the free states (Smith par 1-2). When the government enacted the Fugitive Slave Law Harriet could not bring the slaves to Philadelphia anymore. They were no longer safe in any of the states and had to be brought to Canada for their freedom. This meant that Harriet had to extend the route of the Underground Railroad (Petry 132-133). Harriet was nicknamed Moses by her people. They believed that she was sent from God to free them. Throughout all her trips back and forth through the Underground Railroad, the reward for the capture of Harriet was up to $40,000. This made it even more difficult for Harriet to make it safely through the woods and trails, though she was never captured (Smith par 5-6). During the Civil War, Harriet Tubman became very prominent. She became a nurse, a scout, and a spy for the Union forces. As a nurse, Harriet found a root that helped cure the dysentery. Once again the soldiers began to call her Moses because she had saved many of their lives (Petry 220-224). While being involved in the Civil War, Harriet freed another seven hundred slaves. Harriet was said to be a well respected throughout the war. She received official commendations from many Union Army officials. Even though Harriet contributed a lot of time and hard work in the war efforts, she never received veterans benefits for any of of her painstaking work (Harriet par 3). Following the Civil War, Harriet returned to her home in Auburn, New York to live with her parents. Harriet helped Auburn remain a center for womans rights. In Auburn Harriet married and continued helping misfortunate people (Life par 14). She led the growth of the African Methodist Episcopal Church. Harriets home in Auburn was used as a home for other blacks and elderly who were sick and were in need of assistance in their lives (Bentley 112). Harriet continued to tell reporters and writers about her journeys and her lifestyle. She would never leave a person wondering. She told all the reporters everything they wanted to know and never left anything out. By doing this she made a small profit for her home (Bentley 119). Sarah Bradford was a friend of Harriet who believed that her story was worth telling. Sarah decided to write Harriets biography and give all the proceeds to Harriet to help her finish paying off her mortgage so that the others living there could continue living there. The book made enough money to cover the mortgage and have some extra which Harriet gave to the town of Auburn (Bentley 118). By the time of her death, Harriet freed over a thousand slaves. She received a medal from the Queen of England, Queen Victoria (Bentley 119-120). .u45786520b6e4298da9cb5f21429785dc , .u45786520b6e4298da9cb5f21429785dc .postImageUrl , .u45786520b6e4298da9cb5f21429785dc .centered-text-area { min-height: 80px; position: relative; } .u45786520b6e4298da9cb5f21429785dc , .u45786520b6e4298da9cb5f21429785dc:hover , .u45786520b6e4298da9cb5f21429785dc:visited , .u45786520b6e4298da9cb5f21429785dc:active { border:0!important; } .u45786520b6e4298da9cb5f21429785dc .clearfix:after { content: ""; display: table; clear: both; } .u45786520b6e4298da9cb5f21429785dc { display: block; transition: background-color 250ms; webkit-transition: background-color 250ms; width: 100%; opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #95A5A6; } .u45786520b6e4298da9cb5f21429785dc:active , .u45786520b6e4298da9cb5f21429785dc:hover { opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #2C3E50; } .u45786520b6e4298da9cb5f21429785dc .centered-text-area { width: 100%; position: relative ; } .u45786520b6e4298da9cb5f21429785dc .ctaText { border-bottom: 0 solid #fff; color: #2980B9; font-size: 16px; font-weight: bold; margin: 0; padding: 0; text-decoration: underline; } .u45786520b6e4298da9cb5f21429785dc .postTitle { color: #FFFFFF; font-size: 16px; font-weight: 600; margin: 0; padding: 0; width: 100%; } .u45786520b6e4298da9cb5f21429785dc .ctaButton { background-color: #7F8C8D!important; color: #2980B9; border: none; border-radius: 3px; box-shadow: none; font-size: 14px; font-weight: bold; line-height: 26px; moz-border-radius: 3px; text-align: center; text-decoration: none; text-shadow: none; width: 80px; min-height: 80px; background: url(https://artscolumbia.org/wp-content/plugins/intelly-related-posts/assets/images/simple-arrow.png)no-repeat; position: absolute; right: 0; top: 0; } .u45786520b6e4298da9cb5f21429785dc:hover .ctaButton { background-color: #34495E!important; } .u45786520b6e4298da9cb5f21429785dc .centered-text { display: table; height: 80px; padding-left : 18px; top: 0; } .u45786520b6e4298da9cb5f21429785dc .u45786520b6e4298da9cb5f21429785dc-content { display: table-cell; margin: 0; padding: 0; padding-right: 108px; position: relative; vertical-align: middle; width: 100%; } .u45786520b6e4298da9cb5f21429785dc:after { content: ""; display: block; clear: both; } READ: Financial Analysis Essay She also helped out her community a great deal by contributing funds to her town and by allowing sick and elder blacks stay in her home (Bentley 112). Harriet was buried in Fort Hill Cemetery in Auburn, New York with military honors. The federal government has honored her accomplishments when they decided to place her photo on a commemorative postage stamp. .

The Red Tent My Reaction Essay Example For Students

The Red Tent: My Reaction Essay In her book, The Red Tent, Anita Diamant attempts to expound upon the foundations laid by the Torah by way of midrashim. In doing so, parts of her stories tend to stray from the original biblical text. The following essay will explore this and several other aspects of the book as they relate to the Torah and modern midrash. One of the first differences I recognized was the description of Leahs eyes. In Genesis 29:17, Leahs eyes are described as weak. Diamant dispels this rumor, saying that Leahs eyes, one blue and one green, made others weak because most people had difficulty looking her in the face. By making this small adjustment, Diamant is able to create a connection between Jacob and Leah that the Bible neglects. The Bible says only that Jacob loved Rachel more than Leah, which tends to give the impression that Leah was unloved. Diamant says that Jacob was able to look Leah in the eye without any trouble and never made any comment regarding them. This is significant because it shows that Jacob overlooked a flaw in Leah that most others seemed unable to ignore, and the physical attraction between them that she later addressed in the seven days following their marriage (which was a single night in the Bible) seems to make more sense. In addition, their discussion in the tent concluding that Jacob was to emerge after the week feigning anger is a midrash provides an explanation as to why Jacob slept with Leah and still complained to Laban that he had been tricked. Diamant makes Jacob appear to be more of a gentleman than the Bible does, and thus, a more likeable main character in her novel. We will write a custom essay on The Red Tent: My Reaction specifically for you for only $16.38 $13.9/page Order now In The Red Tent, Diamant created people not mentioned in the Torah. One such person was Ruti, Labans last wife. Laban beat Ruti badly and frequently for no apparent reason. In Diamants book, Rutis fairly small role serves as a clear reason for the reader to dislike Laban. Until Ruti is introduced, besides being a drunk and making love to sheep, we find Laban to be little more than pathetic. Including Ruti in the story adds another dimesion to Labans character; one of cruelty and aggression. At this point, Diamant makes Laban begin to fit the novelistic bad guy mold quite well, and the reader finds him more repulsive than ever before. His daughters pay little attention to Ruti and ignore the evidence of their fathers abusiveness because Ruti is the mother of their sons rivals, their material enemy. When she finally comes to them for help to be rid of the child in her womb, so that the baby girl would not suffer the same treatment from Laban as her mother did, they are eager to be of a ssistance. When Jacob goes to town to redeem Ruti after Laban had sold her as a slave, Jacob becomes more of a hero and is further distinguished as the good guy in the novel. Using Ruti, Diamante persuades the reader to side with the daughters and Jacob against the cruel Laban.Another discrepancy between the biblical text and The Red Tent is clear when Laban catches up to Jacobs camp as he and his wives fled from Labans land. The Torah says that Laban was unable to find the statues and did not know where Rachel had them hidden, but Rachel blatantly tells her father that she was sitting on his precious statues during her period in Diamants midrash. This act of defiance, as well as Labans acceptance of it, are key events in the novel. It gives the reader the impression that Laban no longer had control over his daughters and they were finally free from that evil man. It is for these same reasons that Laban did not kiss his sons and daughters good-by as he did in the scripture, and as a result of Diamants interpretation, their parting was much more dramatic and bitter than in the original text. .u73fcf4bfda2ed628c42ad5af47b34958 , .u73fcf4bfda2ed628c42ad5af47b34958 .postImageUrl , .u73fcf4bfda2ed628c42ad5af47b34958 .centered-text-area { min-height: 80px; position: relative; } .u73fcf4bfda2ed628c42ad5af47b34958 , .u73fcf4bfda2ed628c42ad5af47b34958:hover , .u73fcf4bfda2ed628c42ad5af47b34958:visited , .u73fcf4bfda2ed628c42ad5af47b34958:active { border:0!important; } .u73fcf4bfda2ed628c42ad5af47b34958 .clearfix:after { content: ""; display: table; clear: both; } .u73fcf4bfda2ed628c42ad5af47b34958 { display: block; transition: background-color 250ms; webkit-transition: background-color 250ms; width: 100%; opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #95A5A6; } .u73fcf4bfda2ed628c42ad5af47b34958:active , .u73fcf4bfda2ed628c42ad5af47b34958:hover { opacity: 1; transition: opacity 250ms; webkit-transition: opacity 250ms; background-color: #2C3E50; } .u73fcf4bfda2ed628c42ad5af47b34958 .centered-text-area { width: 100%; position: relative ; } .u73fcf4bfda2ed628c42ad5af47b34958 .ctaText { border-bottom: 0 solid #fff; color: #2980B9; font-size: 16px; font-weight: bold; margin: 0; padding: 0; text-decoration: underline; } .u73fcf4bfda2ed628c42ad5af47b34958 .postTitle { color: #FFFFFF; font-size: 16px; font-weight: 600; margin: 0; padding: 0; width: 100%; } .u73fcf4bfda2ed628c42ad5af47b34958 .ctaButton { background-color: #7F8C8D!important; color: #2980B9; border: none; border-radius: 3px; box-shadow: none; font-size: 14px; font-weight: bold; line-height: 26px; moz-border-radius: 3px; text-align: center; text-decoration: none; text-shadow: none; width: 80px; min-height: 80px; background: url(https://artscolumbia.org/wp-content/plugins/intelly-related-posts/assets/images/simple-arrow.png)no-repeat; position: absolute; right: 0; top: 0; } .u73fcf4bfda2ed628c42ad5af47b34958:hover .ctaButton { background-color: #34495E!important; } .u73fcf4bfda2ed628c42ad5af47b34958 .centered-text { display: table; height: 80px; padding-left : 18px; top: 0; } .u73fcf4bfda2ed628c42ad5af47b34958 .u73fcf4bfda2ed628c42ad5af47b34958-content { display: table-cell; margin: 0; padding: 0; padding-right: 108px; position: relative; vertical-align: middle; width: 100%; } .u73fcf4bfda2ed628c42ad5af47b34958:after { content: ""; display: block; clear: both; } READ: Adolescent Depression EssayEven more dramatic is the rising tension between Jacob and his brother regarding the marriage of Dinah and Shalem, and its horrible climax, resulting the murder of every man in Shechem. In The Red Tent,