Suppose x is a uniform random variable with c = 30 and d = 80. Find the probability that a randomly selectedobservation is between 33 and 75.
A) 0.84
B) 0.16
C) 0.5
D) 0.8

Question

Quizplus · Accepted Answer

The probability density function of a uniform random variable is given by f(x) = 1/(d-c) for c ≤ x ≤ d. In this case, c = 30 and d = 80, so f(x) = 1/50 for 30 ≤ x ≤ 80. The probability that a randomly selected observation is between 33 and 75 is given by the integral of f(x) from 33 to 75:P(33 < x < 75) = ∫[33,75] f(x) dx = ∫[33,75] 1/50 dx = (1/50) * (75 - 33) = 0.84

Suppose X Is a Uniform Random Variable with C =