The random variable x is known to be uniformly distributed between 70 and 90. The probability of x having a value between 80 and 95 is _____.
A) .75
B) .5
C) .05
D) 1

Question

Quizplus · Accepted Answer

The uniform distribution between 70 and 90 has a range of 20. The interval from 80 to 90 (since 95 is beyond the upper limit of the distribution, it's capped at 90) is 10 units long, which is half of the total range, hence the probability is 0.5 or 50%.

The Random Variable X Is Known to Be Uniformly Distributed