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Sagot :

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]