1) A(n) _____ random variable counts successes in a fixed number of independent,

Question

1) A(n) _____ random variable counts successes in a fixed number of independent, identical trials of a success/failure experiment.
a. poisson
b. geometric
c. hypergeometric
d. exponential
e. binomial

2.) Which of the following is a characteristic of a binomial random variable?
a. It counts the number of successes in n trials.
b. There are exactly three possible outcomes for each trial.
c. The probability of success on any one trial differs.
d. There are n identical and dependent trials of a common procedure.
e. It is a continuous random variable.

3.) Which of the following is an example of a binomial random variable?
a. X is the number of miles traveled by a given vehicle before it reaches its destination.
b. X is the time that Sandra waits for a pedestrian signal to turn green.
c. X is the number of phone calls arriving at your help desk in a two-hour period.
d. X is the number of dots on the top face of a fair dice that is rolled.
e. X is the number of girls in six independent births.

Explanation / Answer

1.) e. binomial

2.) a. It counts the number of successes in n trials.

3.) e. X is the number of girls in six independent births.

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