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

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

Explanation:

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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