Question

a.  Suppose that 33% of American CEO's are women. Furthermore, suppose that 17% 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 0.640. Moreover, the probability that the head of a U.S. household has a life insurance policy and is over the age of 50 is 0.400. 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 33% of customers purchase peanut butter during a particular trip to the grocery store. Furthermore, 18% 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 0.380. Moreover, given that the customer has purchased beer, the probability that he/she will purchase pretzels is 0.280. 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

a)

Probability =0.17/0.33 =0.515

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 =0.40/0.640 =0.625

c)

Given that a random grocery store customer purchases peanut butter, what is the probability that he/she also purchases jelly during this trip =0.18/0.33 =0.545

d)probability that a random customer in this convenience store will purchase beer and pretzels together

=0.380*0.280 =0.106