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A plate is attached to its base by 10 bolts. Each bolt is inspected before installation,...

A plate is attached to its base by 10 bolts. Each bolt is inspected before installation, and the probability of passing the inspection is 0.9. Only bolts that pass the inspection are installed. Let X denote the number of bolts that are inspected in order to attach one plate.

a) Fort he random variable of interest give its support and write its distribution with parameter values.

b) Find P(X=12).

c) Estimate the number of bolts to inspect on the average to attach one plate.

d) Find the standart deviation of X.

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