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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Over a period of one year, a salesperson worked six days a week (312 selling days) and sold from zero to six units per day. Using the data in the table shown below, what is the average number of units per day the sales representative should expect to sell?

Number of units per day 0 1 2 3 4 5 6
Number of days 39 60 75 62 48 18 10

To determine

To calculate: The average number of units per day the sales representative should expect to sells by using the data in the table as shown below

Number of units per day, x 0 1 2 3 4 5 6
Number of days, n(x) 39 60 75 62 48 18 10
Explanation

Given Information:

The provided information is that over a period of one year, a salesperson worked six days a week (312 selling days) and sold from zero to six units per day. The data in the table as shown below

Number of units per day, x 0 1 2 3 4 5 6
Number of days, n(x) 39 60 75 62 48 18 10

Formula used:

Definition of Expected Value:

If the set of values of a discrete random variable consists of m different values {x1,x2,x3,,xm}, then the expected value of the random variable is

E(x)=x1P(x1)+x2P(x2)+x3P(x3)++xmP(xm).

Calculation:

Consider the provided information is that the provided information is that over a period of one year, a salesperson worked six days a week (312 selling days) and sold from zero to six units per day. The data in the table as shown below

Number of units per day, x 0 1 2 3 4 5 6
Number of days, n(x) 39 60 75 62 48 18 10

Since, probability of a random variable is given as below:

P(x)=Frequency of xNumber of outcome in S=n(x)n(S)

Here, number of outcome in S is 312.

So, the probability of each value of the random variable is shown in the table

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