Question

The average hourly salary of workers at a supermarket is $14.50 with a standard deviation of $1.75. The shaded area of which curve represents the probability of the hourly salary being between $9.25 and $12.75?

Answer 1

0.1574

Explanation:

Given that X, the average hourly salary of workers at a supermarket is $14.50.

X is Normal with mean = 14.50 and std dev = 1.75

In other words, the variable

Z=
`(x-14.5)/(1.75)` is normal with (0,1) as mean and variance

the probability of the hourly salary being between $9.25 and $12.75

P(
`9.25<X<12.75)=P(-3<z<-1)`

after converting X into Z

Hence area will be represented by the shaded area in the attached file

Prob =0.1574