Find the following probabilities: a. (P(X=2)) when (X sim operatorname{Bin}(4,0.6)) b. (P(X>2)) when (X sim operatorname{Bin}(8,0.2)) c.

Question:

Find the following probabilities:

a. \(P(X=2)\) when \(X \sim \operatorname{Bin}(4,0.6)\)

b. \(P(X>2)\) when \(X \sim \operatorname{Bin}(8,0.2)\)

c. \(P(X \leq 2)\) when \(X \sim \operatorname{Bin}(5,0.4)\)

d. \(P(3 \leq X \leq 5)\) when \(X \sim \operatorname{Bin}(6,0.7)\)

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