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Wages The employees of a large corporation are paid an average wage of $14.50 per hour with a standard deviation of $1.50. Assume that these wages are normally distributed. (a) Use a symbolic integration utility to approximate the percent of employees who earn hourly wages of $11 to $14. (b) Are 20% of the employees paid more than $16 per hour?

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
Publisher: Cengage Learning
ISBN: 9781305860919

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Section
BuyFindarrow_forward

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
Publisher: Cengage Learning
ISBN: 9781305860919
Chapter 9.3, Problem 54E
Textbook Problem
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Wages The employees of a large corporation are paid an average wage of $14.50 per hour with a standard deviation of $1.50. Assume that these wages are normally distributed.

(a) Use a symbolic integration utility to approximate the percent of employees who earn hourly wages of $11 to $14.

(b) Are 20% of the employees paid more than $16 per hour?

(a)

To determine

To calculate: The approximate percentage of employee who is earning hourly wages of $11 to $14 with the use of symbolic integration utility. If the employee of a corporation paid an average of $14.5 per hour and standard deviation of $1.50 it is assume that the wages are normally distributed.

Explanation of Solution

Given Information:

The employee of a corporation paid an average of $14.5 per hour and standard deviation of $1.50 it is assume that the wages are normally distributed.

Formula used:

The normal probability density function is given by,

f(x)=1σ2πe(xμ)22σ2, <x<

Where, μ is the mean, σ is the standard deviation.

Calculation:

Consider the provided probability density function,

f(x)=1σ2πe(xμ)22σ2, <x<

From the provided information the value of the mean is μ=$14.5, the value of standard deviation σ=$1.50.

Now, substitute the values of mean μ=$14.5, standard deviation σ=$1.50 in the above formula as,

f(x)=11.52πe(x14

(b)

To determine

Whether 20% of the employee are getting more than $16 per hour. If the employee of a corporation paid an average of $14.5 per hour and standard deviation of $1.50 it is assume that the wages are normally distributed.

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Chapter 9 Solutions

Calculus: An Applied Approach (MindTap Course List)
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