Question

In: Statistics and Probability

23. a. Suppose that 42% of American CEO's are women. Furthermore, suppose that 24% of American...

23. a. Suppose that 42% of American CEO's are women. Furthermore, suppose that 24% 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 0.510. Moreover, the probability that the head of a U.S. household has a life insurance policy and is over the age of 50 is 0.420. 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 21% 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 0.360. 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 =????

Solutions

Expert Solution

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

=0.24/0.42 =0.571

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 =0.42/0.510 =0.824

c)

Given that a random grocery store customer purchases peanut butter, what is the probability that he/she also purchases jelly during this trip =0.19/0.24 =0.7912

d)

probability that a random customer in this convenience store will purchase beer and pretzels togethe =0.36*0.2 =0.072

orchestra answered 2 years ago
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