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A manufacturer of metal pistons finds that on the average 12% of his pistons are rejected...

A manufacturer of metal pistons finds that on the average 12% of his pistons are rejected because they are either oversize or undersize. A batch of 4 was randomly selected. Assume the following is a valid probability distribution.

X P(x)

0 0.5997

1 0.3271

2 0.0669

3 0.0061

4 ?

a) Find P(4)

b) What is the expected number of defective pistons?

c) Find the standard deviation of the distribution

Math   Statistics-And-Probability   
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