The random variable x is known to be uniformly distributed between 70 and 100. The probability of x having a value between 80 to 95 is
A) 0.75.
B) 0.5.
C) 0.05.
D) 1.

Question

Quizplus · Accepted Answer

The total range of the uniformly distributed random variable x is (100-70) = 30.

The probability of x having a value between 80 to 95 can be found by calculating the proportion of this range to the total range.

The range of values between 80 to 95 is (95-80) = 15.

Therefore, the probability of x having a value between 80 to 95 is 15/30 = 0.5.

The Random Variable X Is Known to Be Uniformly Distributed