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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 \$25 and standard deviation \$8.

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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 \$25 and standard deviation \$8.
a) What is the probability that a randomly selected customer spends less than \$35 at this store?
b) What is the probability that a randomly selected customer spends between \$15 and \$35 at this store?
c) What is the probability that a randomly selected customer spends more than \$10 at this store?
d) Find the dollar amount such that 75% of all customers spend no more than this amount?
e) Find the dollar amount such that 80% of all customers spend at least this amount?
f) Find two dollar amounts, equidistant from the mean of \$25, such that 90% of all customer purchases are between these values?

https://brainmass.com/statistics/normal-distribution/159842