Question: 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

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.

X p(x) 0 0.4 1 0.3 2 0.15 3 0.10 4 0.05

a. Find \(P(X \leq 2)\).

b. Find \(P(X>1)\).

c. Find \(\mu_{X}\).

d. Find \(\sigma_{x}^{2}\).

X p(x) 0 0.4 1 0.3 2 0.15 3 0.10 4 0.05

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