probability

Question 1

The largest value a binomial random variable can be is n + 1.

Answer 1

false

Question 2

If X is a binomial random variable with parameters n and p, then P(X=n)=pn.

Answer 2

true

Question 3

The probability of success, p, in a binomial distribution increases as X, the number of successes, increases

Answer 3

false

Question 4

If the probability of success is greater than zero, then the mean of a binomial random variable is greater than the variance.

Answer 4

true

Question 5

In a binomial distribution, each trial can have one of two possible outcomes.

Answer 5

true

Question 6

In a geometric distribution, the random variable X can take on a countably infinite number of values.

Answer 6

true

Question 7

There are a finite number of independent trials in a geometric distribution.

Answer 7

false

Question 8

The probability of success in a geometric distribution remains constant between each trial.

Answer 8

true

Question 9

In a geometric distribution, if the first success occurs on the Xth trial, then on the first X - 1 trials there must have been only a small number of successes.

Answer 9

false

Question 10

the geometric distribution is dependent upon two parameters.

Answer 10

false

Question 11

The hypergeometric distribution depends on the population size, the sample size, and number of successes within the population.

Answer 11

true

Question 12

In a hypergeometric distribution, if x is the number of successes in a sample size of n, then n - x is the number of failures in the sample.

Answer 12

true

Question 13

The hypergeometric distribution is not appropriate to use whenever the probability of success changes depending on the outcome of previous trials.

Answer 13

False

Question 14

If X is a hypergeometric random variable, then X represents a count of the number of successes in a set number of trials.

Answer 14

true

Question 15

In a hypergeometric distribution, if M is the number of success in the population, and x is the number of successes in the sample, then x must be strictly less than M.

Answer 15

false

Question 16

The mean and variance of a Poisson random variable are always equal to each other.

Answer 16

true

Question 17

Because there is no fixed upper-limit for the value of a Poisson random variable, X, it is not a discrete random variable.

Answer 17

false

Question 18

The smallest value a Poisson random variable can be is 0.

Answer 18

true

Question 19

One condition required of a Poisson random variable is that the events of interest are occurring independently over time, volume, area or distance.

Answer 19

true

Question 20

There are no parameters in a Poisson distribution.

Answer 20

false

Question 21

If P(A|B) = 0, then A and B are mutually exclusive.

Answer 21

true