If x is uniformly distributed over some interval.The mean value (μ)of x is 2 and its variance (σ²)is 1/3.The probability that x is between 2 and 2.5, P(2 $\le$ x $\le$ 2.5), is _________. A)0.45 B)0.40 C)0.35 D)0.33 E)0.25

Question

Quizplus · Accepted Answer

For a uniform distribution, the probability is proportional to the length of the interval. The total interval length is 2√3, and the interval from 2 to 2.5 is 0.5. Thus, the probability is 0.5 / 2√3 = 0.25.

If X Is Uniformly Distributed Over Some Interval ≤\le≤ X ≤\le≤ 25), Is _________

If X Is Uniformly Distributed Over Some Interval $\le$ X $\le$ 25), Is _________