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
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