Answer:
[tex]E(x) = 99[/tex]
Step-by-step explanation:
Given
The attached table
Required
Number of times 3 or 4 will occur
First, we complete the table as follows:
[tex]P(1) + P(2) +......+P(6) =1[/tex]
[tex]0.13 + 0.05 + P(3) + 0.21 + 0.19 + 0.3 = 1[/tex]
Collect Like Terms
[tex]P(3)= 1 -(0.13 + 0.05 + 0.21 + 0.19 + 0.3 )[/tex]
[tex]P(3)= 0.12[/tex]
The expected number of times is:
[tex]E(x)= n * P(x)[/tex]
So, we have:
[tex]E(x) = 300 * (0.12 + 0.21)[/tex]
[tex]E(x) = 300 * (0.33)[/tex]
[tex]E(x) = 99[/tex]
