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
[tex]E(x) = 0.47[/tex] --- Expected value of x
[tex]SD(x) = 0.15[/tex] --- 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.
[tex]n = 20[/tex]
If
[tex]E(x) = 0.47[/tex]
Then:
[tex]E(nx) = n * E(x)[/tex]
Substitute 20 for n
[tex]E(20x) = 20 * E(x)[/tex]
Substitute 0.47 for E(x)
[tex]E(20x) = 20 * 0.47[/tex]
[tex]E(20x) = 9.4[/tex]
Hence, the expected amount for a duration of 20 weeks is $9.4
