What is the probability that a randomly selected customer spends more than $45 at this store?  B.Find the dollar amount such that 75% of all customers  spend no more than this amount.  C. Find the dollar amount such that 80% of all customers  spend at least this amount.  D. Find two dollar amounts, equidistant from the mean, such that 90% of all customer purchases are between  these values.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Suppose it is known that the distribution of purchase  amounts by customers entering a popular retail store is approximately normal with mean $75 and standard  deviation $20. 

A. What is the probability that a randomly selected customer spends more than $45 at this store? 

B.Find the dollar amount such that 75% of all customers  spend no more than this amount. 

C. Find the dollar amount such that 80% of all customers  spend at least this amount. 

D. Find two dollar amounts, equidistant from the mean, such that 90% of all customer purchases are between  these values.  

Expert Solution
Step 1

Given Data :

Population Mean,μ = 75

Population Standard Deviation,σ = 20

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