Distribution of purchase amounts

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Assume 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?

Reference no: EM1392345

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