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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%

Respuesta :

Answer:

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

Step-by-step explanation:

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

Mean = [tex]\mu = 32.7[/tex]

Standard deviation =[tex]\sigma = 1.8 years[/tex]

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,[tex]Z=\frac{x-\mu}{\sigma}[/tex]

[tex]Z=\frac{30-32.7}{1.8}[/tex]

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

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