Consider a discrete probability distribution function:

p(x)=C(9, x)/165 which is valid for the values of X = 1, 2, 6, 7.

Complete the following probability distribution table. (Enter your probabilities to 4 decimal places.)

Value ofX	Probability
x=1
x=2
x=6
x=7

(b)Determine P(X=3). (Give your answer to 4 decimals.)

(c)Determine P(X3). (Give your answer to 4 decimals.)

(d)Determine the expected value ofX. (Give your answer to 2 decimals.)

(e)Fill in the blanks for the formula you would use to calculate the variance of X.

²=( - )² + ( - )² + ( - )² + ( - )²

+ ( - )²