don't know why it follows the binomial distribution.
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I don't know why it follows the binomial distribution.
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- Lawrence likes to shoot a bow and arrow in his free time. On any shot, he has about a 10% chance of hitting the bull's-eye. As a challenge one day, Lawrence decides to keep shooting until he gets a bull's-eye. Let Y = the number of shots he takes. Does this scenario describe a binomial setting? Justify your answer. Yes, this is a binomial setting and X has a binomial distribution with n = 10 and p = 0.10. No, this is not a binomial setting because the probability of success is not the same for each trial. No, this is not a binomial setting because the trials are not independent. No, this is not a binomial setting because there are not a fixed number of trials. No, this is not a binomial setting because the given scenario is not binary.In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.What's your favorite ice cream flavor? For people who buy ice cream, the all-time favorite is still vanilla. About 26% of ice cream sales are vanilla. Chocolate accounts for only 10% of ice cream sales. Suppose that 168 customers go to a grocery store in Cheyenne, Wyoming, today to buy ice cream. (Round your answers to four decimal places.) (a) What is the probability that 50 or more will buy vanilla?(b) What is the probability that 12 or more will buy chocolate?(c) A customer who buys ice cream is not limited to one container or one flavor. What is the probability that someone who is buying ice cream will buy chocolate or vanilla? Hint: Chocolate flavor and vanilla flavor are not mutually exclusive events. Assume that the choice to buy one flavor is independent of the choice to buy another flavor. Then use…Give 5 problems of Binomial distribution and geometric distribution
- Find MLE for the parameter of the Binomial distribution.In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities.What's your favorite ice cream flavor? For people who buy ice cream, the all-time favorite is still vanilla. About 25% of ice cream sales are vanilla. Chocolate accounts for only 7% of ice cream sales. Suppose that 168 customers go to a grocery store in Cheyenne, Wyoming, today to buy ice cream. (Round your answers to four decimal places.)(a) What is the probability that 50 or more will buy vanilla?(b) What is the probability that 12 or more will buy chocolate?A candidate arrives at the following answers to a problem involving a binomial distribution : X = 2.4, V = 3.2 Comment on the data.
- Please solve a, b, c, d, e, and f.Explain the following with Business related or daily life examples: Binomial Distribution and Poisson Distribution. Support your answers by solving one part manually way and the other parts by using Excel.Children being exposed to unsafe levels of lead exposure is thought to be to an environmental factor increasing the chance of a child being diagnosed with ADHD. During the 1990s about 0.3% of children were exposed to unsafe levels of lead (usually from lead pipes). 3. If we let X = the number of children in our study with exposure to unsafe levels of lead we can use the binomial distribution to model the probability distribution of X. Explain why using the definition of Binomial from your notes. (Recall we randomly selected the 425 children and the probability a child is exposed is 0.3%. 4. The researchers found that 5 children in the study had unsafe levels of lead in their blood, Find the probability that in a random sample of 425 children we find at least 5 that have exposure to unsafe levels of lead. 5. Is it unusual to find at least 5 that have exposure to unsafe levels of lead? Explain showing work.
- Suppose we have a bucket of 20 balls with 10 red and 10 green. We take 5 draws and after each draw, we remove the chosen ball from the bucket before our next draw (this is called drawing without replacement). Can we use the binomial distribution to model this scenario? Why or why not?- Assume that you have a random variable X which is binomially distributed, and someone told you that the mean of this variable is (6) and variance is (4.2). Find P(X=5).78% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask them whether they think that political correctness is a problem in America today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America Find the variance of the binomial distribution. σ2=nothing (Round to the nearest tenth as needed.)