Part 1

a)The probability Kayla will score above 70% on a mathematics test is 0.60. Kayla will take four tests this semester. We want to find the probability she will score above 70% on exactly three out of the four tests.What is the value of n in this experiment?

b) The probability Kayla will score above 80% on a mathematics test is 0.60. Kayla will take five tests this semester. We want to find the probability she will score above 80% on exactly four out of the five tests.What is the value of x in this scenario?

c) A manufacturing corporation make tires with a probability 0.78 of lasting over 3,000 miles. What is the probability of exactly seven out of the next eight tires lasting over 3,000 miles? (Round your answer to three decimal places.)

d) Suppose it is known that 14% of all M&M's candies are brown. A simple random sample of 60 M&M's is drawn. What is the value of p?

Part 2

A group of 15 students' cholesterol levels are tested. Suppose the probability of a student having a healthy cholesterol level is 0.30. (a) A binomial experiment has a fixed number of trials, n. For this experiment, what is the value of n? (b) What is the probability of a success? (c) What is the probability that exactly six out of 15 students have healthy cholesterol levels? (Round your answer to three decimal places.)