Question

If the customer rolls the dice and rents a second movie every Thursday for 20 consecutive weeks, what is the total amount that the customer would expect to pay for these second movies

Answer 1

Answer:

The expected amount for a duration of 20 weeks is $9.4

Step-by-step explanation:

Read attachment to understand the complete question

From the question, we have the following given parameters:

x = Amount paid for a second movie

$E(x) = 0.47$ --- Expected value of x

$SD(x) = 0.15$ --- Standard deviation of x

Required

Determine the total amount paid for a second movie for 20 weeks

The required implies that we calculate the expected value for a duration of 20 weeks.

i.e.

$n = 20$

If

$E(x) = 0.47$

Then:

$E(nx) = n * E(x)$

Substitute 20 for n

$E(20x) = 20 * E(x)$

Substitute 0.47 for E(x)

$E(20x) = 20 * 0.47$

$E(20x) = 9.4$

Hence, the expected amount for a duration of 20 weeks is $9.4