7. An insurance company sells two types of policy for car insurances, which we call type A and type B. The clients are then divided into two categories: over 50 years of age and under 50 years of age. The company knows that: • 40% of the clients who purchased policy A is over 50. • 80% of the clients who purchased policy B is under 50. • 26% of the clients are over 50. A client over 50 is chosen. Find the probability that the client purchased policy A. [Hint: to solve this problem, proceed as follows. Draw a tree diagram and set P(type A) = x. Find an equation for x and solve it. You then will have all the data to answer the question.]
7. An insurance company sells two types of policy for car insurances, which we call type A and type B. The clients are then divided into two categories: over 50 years of age and under 50 years of age. The company knows that: • 40% of the clients who purchased policy A is over 50. • 80% of the clients who purchased policy B is under 50. • 26% of the clients are over 50. A client over 50 is chosen. Find the probability that the client purchased policy A. [Hint: to solve this problem, proceed as follows. Draw a tree diagram and set P(type A) = x. Find an equation for x and solve it. You then will have all the data to answer the question.]
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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![7. An insurance company sells two types of policy for car insurances, which we call type A
and type B. The clients are then divided into two categories: over 50 years of age and under
50 years of age. The company knows that:
• 40% of the clients who purchased policy A is over 50.
• 80% of the clients who purchased policy B is under 50.
• 26% of the clients are over 50.
A client over 50 is chosen. Find the probability that the client purchased policy A.
[Hint: to solve this problem, proceed as follows. Draw a tree diagram and set P(type A) = x.
Find an equation for x and solve it. You then will have all the data to answer the question.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F62c6665b-9dd6-42c0-b1e6-31e46db0a556%2F2d908222-311f-4889-ae6b-52a050b8c19a%2Fc7v2oo_processed.png&w=3840&q=75)
Transcribed Image Text:7. An insurance company sells two types of policy for car insurances, which we call type A
and type B. The clients are then divided into two categories: over 50 years of age and under
50 years of age. The company knows that:
• 40% of the clients who purchased policy A is over 50.
• 80% of the clients who purchased policy B is under 50.
• 26% of the clients are over 50.
A client over 50 is chosen. Find the probability that the client purchased policy A.
[Hint: to solve this problem, proceed as follows. Draw a tree diagram and set P(type A) = x.
Find an equation for x and solve it. You then will have all the data to answer the question.]
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