A company purchases machine components after randomly selecting 15 components and testing for defects. If the components have a 3% rate of defects, use the binomial distribution to find the probability of each:
a) Getting no defects (x=0 ).
b) Getting 2 or fewer (x ≤ 2 ) defects.
c) Getting 3 or more (x≥3 ) defects.
d) Find the mean and standard deviation for the number of defects.
e) Would it be a rare event to have 4 defects?
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