John Lloyd has purchased the insurance policy from an insurance company to cover the value of his house in case if it gets destroyed due to a fire for the price of $2500 per year. John Lloyd's house is worth $250000 and the probability that fire destroys the house during the length of the policy is estimated to be 0.1%. Let X be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for X : X outcome a. E[X] = μx b. SD[X]=ox profit ,$ P(X= x) the house is destroyed the house survived 2. Use the probability distribution table to find the following: -250001 X 2500 0.001 0.999 2247.5✓ dollars. (Round the answer to 1 decimal place.) 7980.8 x dollars. (Round the answer to 1 decimal place.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
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Question 8
John Lloyd has purchased the insurance policy from an insurance company to cover the value of his house
in case if it gets destroyed due to a fire for the price of $2500 per year. John Lloyd's house is worth $250000
and the probability that fire destroys the house during the length of the policy is estimated to be 0.1%. Let
X be the insurance company's profit. Answer the following questions:
1. Create the probability distribution table for X :
X
a. E[X] = μx
b. SD[X] = 0X
outcome
=
the house is destroyed
the house survived
profit ,$ P(X= x)
-250001 X
2. Use the probability distribution table to find the following:
2500
0.001
0.999
2247.5✔ dollars. (Round the answer to 1 decimal place.)
7980.8 x dollars. (Round the answer to 1 decimal place.)
Transcribed Image Text:Question 8 John Lloyd has purchased the insurance policy from an insurance company to cover the value of his house in case if it gets destroyed due to a fire for the price of $2500 per year. John Lloyd's house is worth $250000 and the probability that fire destroys the house during the length of the policy is estimated to be 0.1%. Let X be the insurance company's profit. Answer the following questions: 1. Create the probability distribution table for X : X a. E[X] = μx b. SD[X] = 0X outcome = the house is destroyed the house survived profit ,$ P(X= x) -250001 X 2. Use the probability distribution table to find the following: 2500 0.001 0.999 2247.5✔ dollars. (Round the answer to 1 decimal place.) 7980.8 x dollars. (Round the answer to 1 decimal place.)
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