Question

The ages of the employees at Solar Systems, Inc. is normally distributed with a mean of 32.7 years and a standard deviation of 1.8 years.

What percentage of employees at Solar Systems, Inc. are younger than 30 years old? Round your answer to the nearest tenth of a percent.

A. 7.6%
B. 55.9%
C. 93.3%
D. 6.7%

Answer 1

6.7% of employees at Solar Systems, Inc. are younger than 30 years old

Explanation:

The mean of ages of the employees at Solar Systems is 32.7 years

Mean =
`\mu = 32.7`

Standard deviation =
`\sigma = 1.8 years`

We are supposed to find What percentage of employees at Solar Systems, Inc. are younger than 30 years old i.e.P(x<30)

So,
`Z=(x-\mu)/(\sigma)`

`Z=(30-32.7)/(1.8)`

Z=-1.5

Refer the z table for p value

So,p value = 0.0668

So P(x<30)=0.0668= 6.68% = 6.7%

So, 6.7% of employees at Solar Systems, Inc. are younger than 30 years old