You purchase a brand new car for $17250 and insure it. The policy pays 61% of the car's value if there is an issue with the engine or 24% of the car's value if there is an issue with the speaker system. The probability of an issue with the engine is 0.008, and the probability there is an issue with the speaker system is 0.025. The premium for the policy is p. Let X be the insurance company's net gain from this policy. a. Create a probability distribution for X. Enter the possible values of X in ascending order from left to right. P(X) b, Compute the minimum amount the insurance company will charge for this policy. Round your answer to the nearest cent.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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You purchase a brand new car for $17250 and insure it. The policy pays 61% of the car's value if there is an issue with the engine
or 24% of the car's value if there is an issue with the speaker system. The probability of an issue with the engine is 0.008, and the
probability there is an issue with the speaker system is 0.025. The premium for the policy is p.
Let X be the insurance company's net gain from this policy.
a. Create a probability distribution for X. Enter the possible values of X in ascending order from left to right.
P(X)
b, Compute the minimum amount the insurance company will charge for this policy. Round your answer to the nearest cent.
Transcribed Image Text:You purchase a brand new car for $17250 and insure it. The policy pays 61% of the car's value if there is an issue with the engine or 24% of the car's value if there is an issue with the speaker system. The probability of an issue with the engine is 0.008, and the probability there is an issue with the speaker system is 0.025. The premium for the policy is p. Let X be the insurance company's net gain from this policy. a. Create a probability distribution for X. Enter the possible values of X in ascending order from left to right. P(X) b, Compute the minimum amount the insurance company will charge for this policy. Round your answer to the nearest cent.
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