Computer chips often contain surface imperfections. For a certain type of computer chip, the probability mass function of the number of defects X is presented in the following table.
a. Find P(X ? 2).
b. Find P(X > 1).
c. Find 
.
d. Find 
.
(a) P(X ? 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.4 + 0.3 + 0.15 = 0.85.
(b) P(X >1) = P(X = 2) + P(X = 3) + P(X = 4) = 0.15 + 0.1 + 0.05 = 0.3.
(c) = 0(0.4) + 1(0.3) + 2(0.15) + 3(0.1) + 4(0.05) = 1.1
(d) 
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