(6)

Again using the cumulative probability distribution in question 4-14 in the textbook, what is P(X > -1.5)?

a. 0.125 b. 0.5 c. 0.875 d. 1.0

(7)

Suppose that f(x) = x/8 for 3 < x < 5. What is the mean of x?

a. 0 b. 0.083 c. 1.125 d. 4.083

(8)

Suppose that f(x) = x/8 for 3 < x < 5. What is the variance of x?

a. 0.256 b. 0.3264 c. 1.0 d. 2.56

(9)

The continuous uniform distribution is the simplest continuous distribution and it is also analogous to its discrete counterpart.

a. False b. True

(10)

Suppose that X has a continuous uniform distribution over the interval [1.5, 5.5]. Determine P(X < 2).

a. 0.125 b. 0.5 c. 0.625 d. 1.5

Please provide answers with an explanation.