An insurance company issues policies of two types - 20% are of type A and the remainder are of type B. For the type A policies, 42% of the policyholders are female, while for type B policies, 34% of policyholders are male. If a policy is selected at random from those held by females, what is the probability that it is a type A policy?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 42E
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If a policy is selected at random from those held by females, what is the probability that it is a type A policy?

An insurance company issues policies of two types -
20% are of type A and the remainder are of type B.
For the type A policies, 42% of the policyholders are
female, while for type B policies, 34% of policyholders
are male.
If a policy is selected at random from those held by
females, what is the probability that it is a type A
policy?
Transcribed Image Text:An insurance company issues policies of two types - 20% are of type A and the remainder are of type B. For the type A policies, 42% of the policyholders are female, while for type B policies, 34% of policyholders are male. If a policy is selected at random from those held by females, what is the probability that it is a type A policy?
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