Suppose $\mathrm { x }$ is a random variable best described by a uniform probability distribution with $\mathrm { c } = 3$ and $d = 7$. Find the value of a that makes the following probability statement true: $P ( x \geq a ) = 0.6$.
A) 4.6
B) 4.8
C) 2.4
D) 5.4

Question

Quizplus · Accepted Answer

The probability of x being greater than or equal to a is given by:$$P(x \geq a) = \frac{a - c}{d - c}$$Substituting the given values, we get:$$0.6 = \frac{a - 3}{7 - 3}$$Solving for a, we get:$$a = 4.8$$

Suppose x\mathrm { x }x Is a Random Variable Best Described by a Uniform Probability

Suppose $\mathrm { x }$ Is a Random Variable Best Described by a Uniform Probability