Question: Suppose that an eddy current nondestructive evaluation technique for identifying cracks in critical metal parts has a probability of around 0.20 of detecting a single

Suppose that an eddy current nondestructive evaluation technique for identifying cracks in critical metal parts has a probability of around 0.20 of detecting a single crack of length 0.003 in. in a certain material. Suppose further that n = 8 specimens of his material, each containing a single crack of length 0.003 in., are inspected using this technique. Define a random variable, W = the # of these cracks that are detected.
What is distribution of W? Calculate the following:
a) P [W = 3]
b) P [W ≤ 2]
c) E [w]
d) Var (w)
e) The standard deviation of W

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