.Questionz v ' ' According to Masterfoods, the company that manufactures M&M's, 12% of peanut M&M's are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. You randomly select six peanut M&M's from an extra-large bag of the candies. (Round all probabilities below to four decimal places; i.e. your answer should look like 0.1234, not 0.1234444 or 12.34%.) Compute the probability that exactly four ofthe six M&M's are orange. Compute the probability that four or ve of the six M&M's are orange. [:1 Compute the probability that at most four of the six M&M's are orange. :1 Compute the probability that at least four of the six M&M's are orange. If you repeatedly select random samples of six peanut M&M's, on average how many do you expect to be orange? (Round your answer to two decimal places.) [: orange M&M's With what standard deviation? (Round your answer to two decimal places.) 80/1pt' tawny ' mum... .. , ' . A company prices its tornado insurance using the following assumptions: - In any calendar year, there can be at most one tornado. - In any calendar year, the probability of a tornado is 0.15. - The number of tornadoes in any calendar year is independent of the number of tornados in any other calendar year. Using the company's assumptions, calculate the probability that there are fewer than 3 tornadoes in a 19-year period. Suppose that a box contains 6 cameras and that 4 of them are defective. A sample of 2 cameras is selected at random. Define the random variable X as the number of defective cameras in the sample. a. Write the binomial probability distribution for X. Round to two decimal places. b. What is the expected value of X? Round to two decimal places. :] A manufacturing machine has a 7% defect rate. If 7 items are chosen at random, what is the probability that at least one will have a defect? A poll is given, showing 80% are in favor of a new building project. If 8 people are chosen at random, what is the probability that exactly 1 of them favor the new building project? Submit QuestionIf a seed is planted, it has a 95% chance of growing into a healthy plant. If 7 seeds are planted, what is the probability that exactly 3 don't grow? Submit QuestionFor families with 5 children, let X be the number of children with Genetic Condition B. Can the following table be a probability distribution for the random variable X? 3 | 0.2438 4 0.4472 5 0.1373 0 yes 0 no Probability Scores 0.2 2 0.35 7 0.15 8 0.25 11 0.05 13 Find the expected value of the above random variable. Submit QuestionAssume that 12jurors are randomly selected from a population in which 85% of the people are Mexican-Americans. Refer to the probability distribution table below and nd the indicated probabilities. Find the probability of exactly 6 Mexican-Americans among 12jurors. Round your answer to four decimal places. Web: Find the probability of 6 or fewer Mexican-Americans among 12 jurors. Round your answer to four decimal places. Page: Does 6 Mexican-Americans among 12jurors suggest that the selection process discriminates against Mexican-Americans? Ono b