Question: question 1 Let X be a random variable with the following probability distribution. Value x of X P( X=x) 30 0.40 40 0.05 50 0.15

question 1

Let X be a random variable with the following probability distribution. Value x of X P( X=x) 30 0.40 40 0.05 50 0.15 60 0.15 70 0.25 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X ) of X. E (X) = 1 (b) Find the variance Var(X) of X. var (X) = 0A machine that manufactures automobile parts produces defective parts 12% of the time. If 8 parts produced by this machine are randomly selected, what is the probability that at least 2 of the parts are defective? Cam.r your intermediate computations to at least four decimal places, and round your answer to two decimal places. (If necessary, consult a list of formulas.) xo

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