Suppose f(x) = 1/4 over the range a ≤ x ≤ b,and suppose P(X > 4) = 1/2.What are the values for a and b?

A) 0 and 4
B) 2 and 6
C) Can be any range of x values whose length (b − a) equals 4.
D) Cannot answer with the information given.

Probability Density

A mathematical function that specifies the likelihood of a continuous variable taking on a particular value, critical in the context of continuous probability distributions.

Uniform Distribution

A type of probability distribution where all outcomes are equally likely to occur within a certain range.