A small hair salon in Galway averages about 25 customers on

A small hair salon in Galway averages about 25 customers on weekdays with a standard deviation of 8. It is safe to assume that the underlying distribution is normal. In an attempt to increase the number of weekday customers, the manager offers a

Solution

a).

First we need to get the z-score ,

Here,

mu( Standard Mean) = 25 , sigma (Standard Deviation) = 8 , X-bar = 31

z-score = (X-bar - mu ) / sigma

            = (31-25) / 8

            = 6/8 = 0.75

Hence , Probability = 0.7734 Answer

b).

Yes , the manager