Please answer the following questions: MAKE SURE TO ANSWER ALL PARTS OF THE QUESTIONS

6.2.39-T Question Help According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. Suppose you sit on a bench in a mall and observe people's habits as they sneeze. Complete parts (a) through (c)- (a) Using the binomial distribution, what is the probability that among 16 randomly observed individuals, exactly 7 do not cover their mouth when sneezing? The probability is 0.0676 (Round to four decimal places as needed.) (b) Using the binomial distribution, what is the probability that among 16 randomly observed individuals, fewer than 4 do not cover their mouth when sneezing? The probability is (Round to four decimal places as needed.)Homework: Week 3 Part 3 Score: 0 of 1 pt { 13 of 13 (12 complete] 7 I- HW Score: 70.51%. 9.1? of 13 pl}; 6.313 Question Help? a Suppose that a sample of peanut butter contains 0.4 insect fragments per gram. Compute the probability that the number of insect fragments in a ILgram sample of peanut butter is each of the following values or range of values. Interpret each result. {a) Exactly three {b) Fewer than three {c) At least three {d) At least one {13) Would it be unusual for a 4rgram sample of this supply of peanut butter to contain five or more insect fragments? {a) The probability that there are exactly three insect fragments in a 4-gram sample of peanut butter is (Round to four decimal places as needed.)