Question

Which variable is NOT a binomial variable?

A. An SRS of 22 widgets are picked from an production line and inspected. X = # of defectives produced.

B. A fair die is rolled 10 times. X = # of times 5 comes up.

C. A coin is flipped until heads comes up the first time. X = number of rolls required.

D. An SRS of 120 students are asked, "Do you love baseball?" X = number of "yes" answers.

Answer 1

option C is true here

A. This is a binomial random variable because the number of trials are fixed and only two possible outcomes are there, either defective or non-defective.

B. This is a binomial random variable because the number of trials is fixed and only two possible outcomes are there, either 5 comes up or not.

C. This is NOT a binomial random variable because the number of trials is not fixed.

D. This is a binomial random variable because the number of trials is fixed and only two possible outcomes are there, either yes or no.