Question

Suppose a manufacturer knows from previous data that 1.5% of one type oflightbulb are defective. The quality control inspector randomly selects bulbsuntil a defective one is found. Is this a binomial experiment? Why or why not?A. No, because each trial cannot be classified as a success or failure.B. No, because the number of trials is not fixed.C. Yes, because the situation satisfies all four conditions for abinomial experiment.O D. No, because the trials are not independent.

Answer 1

For an experiment to be a bonomial, the variable associated with the experiment must be a bomonial random variable.

A binomial random variable must satisfy the following conditions:

1. There must be a known fixed number of trial.

2. There must be only results from trial, i.e. success or failure

3. The test result must be independent

4. Same probabilty for each success or fialure of the test.

Therefore, the answer is:

A. No, becuase the number of trials is not fixed.