If x, the time (in minutes)to complete an oil change job at a certain auto service station, is uniformly distributed over the interval 20 to 30, inclusively (20$\le$ x $\le$30), then the probability that an oil change job is completed in less than 17 minutes, i.e., P(x

Question

If x, the time (in minutes)to complete an oil change job at a certain auto service station, is uniformly distributed over the interval 20 to 30, inclusively (20$\le$ x $\le$30), then the probability that an oil change job is completed in less than 17 minutes, i.e., P(x < 17)is ___.
A)0.500
B)0.300
C)0.000
D)0.250
E)1.000

Quizplus · Accepted Answer

Since x is uniformly distributed from 20 to 30, the probability of completing the job in less than 20 minutes is 0. Therefore, the probability of completing the job in less than 17 minutes, which is even smaller, is also 0.

If X, the Time (In Minutes)to Complete an Oil Change ≤\le≤

If X, the Time (In Minutes)to Complete an Oil Change $\le$