Suppose f(x)= 1/4 over the range a$\le$ x $\le$ 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.

Question

Suppose f(x)= 1/4 over the range a$\le$ x $\le$ 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.

Quizplus · Accepted Answer

The probability density function f(x) = 1/4 implies a uniform distribution over the interval [a, b] with length b - a = 4. Given P(X > 4) = 1/2, the midpoint of the interval must be 4, so a = 2 and b = 6.

Suppose F(x)= 1/4 Over the Range A ≤\le≤ X ≤\le≤ B,and Suppose P(X > 4)= 1/2

Suppose F(x)= 1/4 Over the Range A $\le$ X $\le$ B,and Suppose P(X > 4)= 1/2