Suppose the time it takes for customer representatives to diagnose and fix computer problems is uniformly distributed from 10 to 120 minutes. What is the probability that a
Problem is diagnosed and fixed within 30 minutes?
A) 0.27
B) 0.73
C) 0.82
D) 0.50
E) 0.18

Question

Quizplus · Accepted Answer

The uniform distribution formula for calculating probabilities is $P(a \leq X \leq b) = \frac{b - a}{n - m}$, where $X$ is the random variable, $a$ and $b$ are the bounds of the interval of interest, and $m$ and $n$ are the minimum and maximum values of the uniform distribution, respectively. Here, $m = 10$, $n = 120$, $a = 10$, and $b = 30$. So, $P(10 \leq X \leq 30) = \frac{30 - 10}{120 - 10} = \frac{20}{110} = \frac{2}{11} \approx 0.18$.

Suppose the Time It Takes for Customer Representatives to Diagnose