Question

Women have head circumferences that are normally distributed with a mean given by mu equals 21.95...

Women have head circumferences that are normally distributed with a mean given by

mu equals 21.95 inμ=21.95 in​.,

and a standard deviation given by

sigma equals 0.7 inσ=0.7 in.

Complete parts a through c below.

a. If a hat company produces​ women's hats so that they fit head circumferences between

21.521.5

in. and

22.522.5

​in., what is the probability that a randomly selected woman will be able to fit into one of these​ hats?

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