If the random variable X is uniformly distributed between 40 and 60, then P(35 $\le$ X $\le$ 45) is:
A)1.0.
B)0.5.
C)0.25.
D)0.0.

Question

If the random variable X is uniformly distributed between 40 and 60, then P(35 $\le$  X $\le$  45) is:
A)1.0.
B)0.5.
C)0.25.
D)0.0.

Quizplus · Accepted Answer

The probability is calculated based on the range of values that X can take. Since X is uniformly distributed between 40 and 60, the total range is 20 units. The probability of X being between 35 and 45 is the same as it being between 40 and 45 (since values below 40 are not possible for X), which is a range of 5 units. Therefore, the probability is 5/20 = 0.25.

If the Random Variable X Is Uniformly Distributed Between 40 ≤\le≤

If the Random Variable X Is Uniformly Distributed Between 40 $\le$