glenda checks the computer monitors made at her company for defects. it has been shown that 0.5% of the…

glenda checks the computer monitors made at her company for defects. it has been shown that 0.5% of the monitors are defective. she decides to check several monitors and record if they are defective. which of the following will make this process into a binomial experiment? glenda checks the monitors until she has 300 defective monitors. glenda checks 300 monitors and records the number that are defective until she gets greater than 0.5% defective monitors. glenda checks the monitors until she has 300 non - defective monitors. glenda chooses to check 300 monitors.
Answer
Explanation:
Step1: Recall binomial experiment criteria
A binomial experiment has a fixed number of trials, each trial is independent, there are only two possible outcomes (success - defective, failure - non - defective), and the probability of success is constant.
Step2: Analyze each option
- Option 1: Checking until 300 defective monitors is found means the number of trials is not fixed, so it's not binomial.
- Option 2: Stopping when getting greater than 0.5% defective monitors means the number of trials is not fixed, so it's not binomial.
- Option 3: Checking until 300 non - defective monitors is found means the number of trials is not fixed, so it's not binomial.
- Option 4: Choosing to check 300 monitors gives a fixed number of trials. Each monitor check is independent, has two outcomes (defective or non - defective), and the probability of a monitor being defective is 0.5% (constant). So this is a binomial experiment.
Answer:
Glenda chooses to check 300 monitors.