At the beginning of winter, a homeowner estimates that the probability is 0.4 that his total heating bill for the three winter months will be less than $380. He also estimates that the probability is 0.6 that the total bill will be less than $460. a. What is the probability that the total bill will be between $380 and $460? b. Given no further information, what can be said about the probability that the total bill will be less than $400?

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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At the beginning of winter, a homeowner estimates that the probability is 0.4 that his total heating bill for the three winter months will be less than $380. He also estimates that the probability is 0.6 that the total bill will be less than $460.
a. What is the probability that the total bill will be between $380 and $460?
b. Given no further information, what can be said about the probability that the total bill will be less than $400?

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