The number of tickets purchased by a customer for a musical performance at a certain concert hall can be considered a random variable. The table below shows the relative frequency distribution for the number of tickets purchased by a customer.
Number of tickets purchased
4 5
Relative frequency 0.20
0.05
Suppose each ticket for a certain musical performance cost $12. Based on the distribution shown, what is the mean cost per customer for the performance?
5245
2
0.45
3
0.10
0.20
$275
$24.50
D
$29.40
$36.00

D. $29.40

Explanation:

Calculation for the mean cost per customer for the performance

Using this formula

Mean cost per customer=[(Number of tickets purchased*Relative frequency)]*Performance cost

Let plug in the formula

Mean cost per customer=[(1*0.20)+(2*0.45)+(3*0.10)+(4*0.20)+(5*0.05)]*$12

Mean cost per customer=(0.2+0.9+0.3+0.8+0.25)*$12

Mean cost per customer=2.45*$12

Mean cost per customer=$29.40

Therefore the mean cost per customer for the performance will be $29.40

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