Question

which of the following is/are correct interpretations of the area under the graph of a probability density function for any interval of values of the random variable?
choose the correct answer below.
a. the area represents the probability that a randomly selected individual from the population will be in the interval of values.
b. the area represents the proportion of the population that is in the interval of values.
c. both of the statements in a and b are true.
d. neither of the statements in a and b are true.

Explanation:

The area under the graph of a probability density function for an interval of values of a random - variable represents the probability that a randomly selected individual from the population will be in that interval of values. Also, probability is equivalent to the proportion of the population in that interval. So both A and B are correct interpretations.

Answer:

C. Both of the statements in A and B are true.