# statistics

The customer bills in a family restaurant are normally distributed. The bills mean is \$28 and has a standard deviation of \$6.
a. Identify what the random variable you are measuring is in this problem.
b. What is the probability that a randomly selected bill will be at least \$39.10?
c. What percentage of the bills will be less than \$16.90?
d. What are the minimum and maximum of the middle 95% of the bills?
e. If twelve of one day's bills had a value of at least \$43.06, how many bills did the restaurant collect on that day?

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1. a. Customer bills

b. Z = (score-mean)/SD

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability related to the Z score.

c. 95% = mean ± 1.96 SD

d. Calculate Z score and proportion.

proportion (x) = 12

Solve for x.

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