3-18. \( \quad f(x)=(3 / 4)(1 / 4)^{x}, \quad x=0,1,2, \ldots \) (a) \( P(X=2) \) (b) \( P(X \leq 2) \) (c) \( P(X>2) \) (d) \( P(X \geq 1) \)
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In a geometric distribution, the probability mass function (PMF) is given by \( P(X = x) = (1-p)^x p \), where \( p \) is the probability of success on each trial. Here, \( p = \frac{3}{4} \) and \( (1-p) = \frac{1}{4} \). Show more…
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