Suppose $x$ is a random variable best described by a uniform probability distribution with $c = 5$ and $d = 11$. Find the value of a that makes the following probability statement true: $P ( x \leq a ) = 1$.
A) $a \geq 5$
B) $a \leq 11$
C) $a \geq 11$
D) $a \leq 5$

Question

Quizplus · Accepted Answer

For a uniform distribution from $c = 5$ to $d = 11$, $P(x \leq a) = 1$ when $a$ is at least the maximum value of the distribution, which is 11. Thus, $a \geq 11$.

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