Question

A company that owns a large number of grocery stores claims that customers who pay by...

A company that owns a large number of grocery stores claims that customers who pay by personal check spend an average of $87 with a standard deviation of $22. Assume the amount spent by these customers is normally distributed.

What is the probability that a customer using a check spends less than $90?

Express your answer as a decimal rounded to four places after the decimal point.

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Answer #1

Solution :

P(x < 90) = P[(x - ) / < (90 - 87) / 22]

= P(z < 0.14) [Using standard normal table]

= 0.5557

Probability = 0.5557

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