1. determine whether the given procedure results in binomial distribution. If it

Question

1. determine whether the given procedure results in binomial distribution. If it is not binomial, identify the requirements that are not satisfied.
Treating 50 men with a special shampoo and recording Yes if they experience any burning or No otherwise.

A. No, because the probability of success does not remain the same in all trials.
B. No, because there are more than two possible outcomes.
C. Yes, because all 4 requirements are satisfied.
D. No, because there are more than two possible outcomes and the trials are not independent.

Explanation / Answer

Solution:- A. No, because the probability of success does not remain the same in all trials.

Probability of burning for any men is different for different mens because it also depends upon their skin type.

1) The experiment consists of n repeated trials.

2) Each trial can result in just two possible outcomes. We call one of these outcomes a success and the other, a failure.

3) The probability of success, denoted by P, is the same on every trial.

4) The trials are independent; that is, the outcome on one trial does not affect the outcome on other trials.

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