a. Suppose that 47% of American CEOs are women. Furthermore, suppose that 23% 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 0.540. 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 27% of customers purchase peanut butter during a particular trip to the grocery store. Furthermore, 15% 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 0.410. 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 =