Can you tell me the related chapter and why the other answers are wrong?

Question: How do you interpret f(x) for a discrete and a continuous random variable?

a. For a discrete random variable it gives the probability that the random variable takes on the value of x and for a continuous random variable it gives the height of the probability density function.

b. For a discrete random variable it gives the height of the probability mass function and for a continuous random variable it gives the probability that the variable takes on the value of x.

c. For both discrete and continuous random variables it gives the area under the curve to the left of x.

d. For a discrete random variable it gives the total probability for all values less than or equal to x and for a continuous random variable f(x) always equals zero.

e. For a discrete random variable it gives the cumulative probability function value and for a continuous random variable it gives the value of the probability mass function.