If the X distribution of the number of fines is given by a binomial distribution (x, n = 8, p = 0.7) for values ​​of x = 0, 1, 2,…, 8. a) Find the expected value of X (called the first moment) b) Find the expected value of X2 (called moment second) c) Find the variance of X using the Quick Variance Formula Var (x) = E (X2) - [E (X)] 2

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If the X distribution of the number of fines is given by a binomial distribution (x, n = 8, p = 0.7) for values ​​of x = 0, 1, 2,…, 8.

a) Find the expected value of X (called the first moment)

b) Find the expected value of X2 (called moment second)

c) Find the variance of X using the Quick Variance Formula Var (x) = E (X2) - [E (X)] 2

d) What will be the expected value of the surcharge R if its function is given by R (X) = X^3 + 50X^2 + 20?

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