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Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

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Section
BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

Information from the Department of Motor Vehicles indicates that the average age of licensed drivers is μ = 45.7 years with a standard deviation of σ = 12.5 years. Assuming that the distribution of drivers’ ages is approximately normal,

  • a. What proportion of licensed drivers are older than 50 years old?
  • b. What proportion of licensed drivers are younger than 30 years old?

(a)

To determine

To find: The proportion of licensed drivers are older than 50 years old.

Explanation

Given info:

The information is collected from the department of motor vehicles. It indicating that the average age of licensed drivers and it follows the normal distribution with mean of μ=45.7 years and standard deviation of σ=12.5

Calculation:

The formula for z score is,

z=Xμσ

Substitute the value 50 for X, 45.7 for μ and 12.5 for σ.

z=5045.712.5=4.312.5=0

(b)

To determine

To find: The proportion of licensed drivers are younger than 30 years old.

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