A contractor has concluded from his experience that the cost of building a luxury home is a normally distributed random variable with a mean of $500,000 and  a standard deviation of $50,000. a. What is the probability that the cost of building a home will be between $460,000 and $540,000? b. The probability is 0.2 that the cost of building will be less than what amount? c. Find the shortest range such that the probability is 0.95 that the cost of a luxury home will fall in this range.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A contractor has concluded from his experience that the cost of building a luxury home is a normally distributed random variable with a mean of $500,000 and  a standard deviation of $50,000.
a. What is the probability that the cost of building a home will be between $460,000 and $540,000?
b. The probability is 0.2 that the cost of building will be less than what amount?
c. Find the shortest range such that the probability is 0.95 that the cost of a luxury home will fall in this range.

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