You own a company called Company X, which has monthly sales that are independent normal random variables with mean 100 and variance 10. Your rival company, called Company Y, has monthly sales that are independent normal random variables with mean 110 and variance 20. (a) Find the probability that your company, Company X, makes more than $307 this quarter (a quarter is 3 months). (b) What is the probability that your company makes more money than your rival company this month?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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You own a company called Company X, which has monthly sales that are independent normal
random variables with mean 100 and variance 10. Your rival company, called Company Y, has
monthly sales that are independent normal random variables with mean 110 and variance 20.
(a) Find the probability that your company, Company X, makes more than $307 this quarter (a
quarter is 3 months).
(b) What is the probability that your company makes more money than your rival company this
month?
Transcribed Image Text:You own a company called Company X, which has monthly sales that are independent normal random variables with mean 100 and variance 10. Your rival company, called Company Y, has monthly sales that are independent normal random variables with mean 110 and variance 20. (a) Find the probability that your company, Company X, makes more than $307 this quarter (a quarter is 3 months). (b) What is the probability that your company makes more money than your rival company this month?
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