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-Suppose x is a uniform random variable with c = 30 and d = 70. Find the probability that a randomly selected observation is between 33 and 65.
A) 0.80
B) 0.20
C) 0.5
D) 0.8

Question

Quizplus · Accepted Answer

The probability that a randomly selected observation falls between two points in a uniform distribution is calculated as the difference between those points divided by the range of the distribution. Here, the range is $d - c = 70 - 30 = 40$, and the interval of interest is $65 - 33 = 32$. Thus, the probability is $32 / 40 = 0.8$.

Provide an Appropriate Response