Question

Two percent of mobile phones produced at a factory are defective. Which of the following is a binomial experiment?

a.Selecting phones randomly until a non-defective phone is chosen
b.Selecting phones randomly until 200 defective phones are chosen
c.Selecting 200 phones randomly and recording whether each phone is defective
d.Selecting a group of phones randomly and recording the number of defective phones in the group

Answer 1

Option C:

Selecting 200 phones randomly and recording whether each phone is defective

Answer 2

Answer with explanation:

An experiment is said to be binomial , if you perform P independent Trials, there are only two Outcomes, either the result that you want you are getting, or the required result , you don't get.

Usually, in simpler words , Yes or No.

Now, out of Four options given

In Option C, number of Possible outcomes are fixed equal to 200, and selecting or recording number of defective phones if there are defective as well as non defective phones in a group of 200 phones.

Option C:

Selecting 200 phones randomly and recording whether each phone is defective

is a binomial experiment.