Question

a. Suppose that 37% of American CEO's are women. Furthermore, suppose that 25% of American CEO's are women under the age of 40. Given that a randomly selected American CEO is a woman, what is the probability that she is under the age of 40? Round your answer to three decimal places. Probability = b. The probability that the head of a U.S. household has a life insurance policy is 0.470. Moreover, the probability that the head of a U.S. household has a life insurance policy and is over the age of 50 is 0.430. Given that a randomly selected head of a U.S. household has a life insurance policy, what is the probability that he/she is over the age of 50? Round your answer to three decimal places. Probability = c. Suppose that 22% of customers purchase peanut butter during a particular trip to the grocery store. Furthermore, 19% of grocery store customers purchase both peanut butter and jelly. Given that a random grocery store customer purchases peanut butter, what is the probability that he/she also purchases jelly during this trip? Round your answer to three decimal places. Probability = d. In a particular convenience store, the probability that a customer will purchase beer is 0.310. Moreover, given that the customer has purchased beer, the probability that he/she will purchase pretzels is 0.200. What is the probability that a random customer in this convenience store will purchase beer and pretzels together? Round your answer to three decimal places. Probability =

Answer 1

1)

a)  Given that a randomly selected American CEO is a woman, what is the probability that she is under the age of 40

=0.25/0.37 =0.676

b)

. Given that a randomly selected head of a U.S. household has a life insurance policy, what is the probability that he/she is over the age of 50 =0.430/0.470 =0.915

c)

Given that a random grocery store customer purchases peanut butter, what is the probability that he/she also purchases jelly during this trip =0.19/0.22 =0.864

d)

Probability =0.310*0.200 =0.062