   # 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? BuyFindarrow_forward ### Calculus: An Applied Approach (Min... 10th Edition Ron Larson Publisher: Cengage Learning ISBN: 9781305860919 #### Solutions Chapter Section BuyFindarrow_forward ### Calculus: An Applied Approach (Min... 10th Edition Ron Larson Publisher: Cengage Learning ISBN: 9781305860919 Chapter 9.3, Problem 54E Textbook Problem 1 views ## 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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