Question: Let (X) have a binomial distribution with parameters (n=5) and (p=0.4). (1) Draw the distribution function of (X). (2) Determine the probabilities [P(X>6), P(X <2),

Let \(X\) have a binomial distribution with parameters \(n=5\) and \(p=0.4\).

(1) Draw the distribution function of \(X\).

(2) Determine the probabilities

\[P(X>6), P(X<2), P(3 \leq X<7), P(X>3 \mid X \leq 2), \text { and } P(X \leq 3 \mid X \geq 4)\]

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