Respuesta :
Answer:
It is not a binomial experiment because the random variable associated with this experiment is a Geometric random variable.
Step-by-step explanation:
For an experiment to be a binomial experiment the variable associated with the experiment has to be a binomial random variable.
A binomial random variable should satisfy the following conditions:
- There should be a fixed known no. of trials
- There should be only 2 outcomes of a trial i.e either success or failure
- Trial results should be independent
- Same probability for each trial success or failure
Now lets see what is the random variable in this experiment:
The Random variable would be X = no. of selections until a defective one is found.
X does not satisfy the first condition for a binomial variable itself as the no. of trials is not fixed and is unknown.
Hence X is not a binomial random variable.
Rather X is a Geometric random variable. If we consider finding a defective one as a success then the variable is defined as the no. of trials until a success is achieved. But a binomial random variable is defined by no. of successes in a fixed no. of trials.
Hence it is not a binomial experiment .
Answer:
It is not a binomial experiment
Step-by-step explanation:
For an experiment to be a binomial, the variable associated with the experiment has to be a binomial random variable.
A binomial random variable should satisfy the following conditions:
1. There should be a fixed known number of trials .
2.There should be only 2 outcomes of a trial i.e. either success or failure
3. Trial results should be independent
4. Same probability for each trial success or failure
The Random variable in this experiment is X = no. of selections until a defective one is found.
Now here,X does not satisfy the first condition for a binomial variable itself as the no. of trials is not fixed and is unknown.
Hence X is not a binomial random variable.
So this experiment is not binomial experiment.
