Which statement concerning the binomial distribution is correct?
A)Its PDF covers all integer values of X from 0 to n.
B)Its PDF is the same as its CDF when π = .50.
C)Its CDF shows the probability of each value of X.
D)Its CDF is skewed right when π

Question

Which statement concerning the binomial distribution is correct?
A)Its PDF covers all integer values of X from 0 to n.
B)Its PDF is the same as its CDF when π = .50.
C)Its CDF shows the probability of each value of X.
D)Its CDF is skewed right when π < .50.

Quizplus · Accepted Answer

The binomial distribution is defined for a given number of trials, n, and probability of success, π. Its probability density function (PDF) covers all integer values of X from 0 to n, representing the number of successes in n trials. Therefore, statement A is correct. Statement B is not true, as the PDF and CDF of the binomial distribution are different functions. Statement C is partly true, as the CDF of the binomial distribution shows the cumulative probability up to each value of X. Statement D is not true, as the shape of the CDF of the binomial distribution depends on the value of π, but it is not generally skewed right or left.

Which Statement Concerning the Binomial Distribution Is Correct