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A manufacturing process molds 5 units at a time. Suppose X be the number of defective units and has the following probability distriution.
X 0 1 2 3 4 5
p(x) 0.4 0.25 0.15 0.1 0.05 0.05
(a) What is the cumulative distribution function of X ?
(b) Compute the mean number of defective units.
(c) Compute the variance ofX.
(d) Find the probability of having at most 4 defective units
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