(1) Consider the probability density function f(x) = 1.5x2 for -1 < x < 1. What is P(X > 0)? a. 0 b. 0.125 c. 0.25 d. 0.5 (2) For the probability density function given in question 1, what is P(-0.5 < X < 0.5)? a. 0 b. 0.125 c. 0.25 d. 0.5 (3) For the probability density function in question 1, what is P(X < -3)? a. 0 b. 0.125 c. 0.25 d. 0.5 (4) Which of the following is the best definition of a cumulative distribution function? a. It is used to calculate the probability of a result is greater than a specified value of x. b. It is used to calculate the probability of a result less than a specified value of x. c. It is the same as a probability density function. d. It is used to calculate the probability of a result equal to a specified value of x. (5) Look at problem 4-14 in the textbook. For this cumulative distribution function, what is P(X < 1.8)? a. 0 b. 0.05 c. 0.45 d. 0.95

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