Suppose x is a random variable best described by a uniform probability distribution with c = 3 and d = 9. Find the value of a that makes the following probability statement true: P(3.5 ≤ x ≤ a) = 0.5.
A) 6.5
B) 6
C) 4
D) 1.2

Question

Quizplus · Accepted Answer

For a uniform distribution, the probability is calculated as the length of the interval divided by the total length of the distribution. Here, the total length is 9 - 3 = 6. To find 'a' such that P(3.5 ≤ x ≤ a) = 0.5, we set up the equation (a - 3.5) / 6 = 0.5. Solving for 'a' gives a = 6.5.

Suppose X Is a Random Variable Best Described by a Uniform