The number of tickets purchased by a customer for a musical performance at a certain concert hall can be considered a random var

Question

2 years ago

8

The number of tickets purchased by a customer for a musical performance at a certain concert hall can be considered a random var

iable. 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

Advanced Placement (AP)

2 answers:

scoray [572] · Answer 1 · 2022-12-20T18:31:03+03:00

scoray [572]2 years ago

8 0

Answer:

$29.40 is the answer for this

Liono4ka [1.6K] · Answer 2 · 2022-12-20T16:43:00+03:00

Answer:

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