This Question: 1 pt This t Determine whether the given procedure results in a bi

Question

This Question: 1 pt This t Determine whether the given procedure results in a bi nomial distribution, If it is not binomial, identify the requirements that are not satisfied Randomly selecting 100 adults and asking if they like rap music,recording Yes or No A. No, because there are more than two possible outcomes. O B. No, bltause the probablity of success does not remain the same in all trials C. No, because there are more than two possible outcomes and the trials are not independent. O D. Yes, because all 4 requirements are satisfied. Click to select your answer.

Explanation / Answer

A series of trials are said to be Bernoullian series of trials if

i. the possible results of any trail can be divided into two classes, which we conveniently call success and failure

ii. the trails are independent

iii. the probability of success (or that of failure) remains constant from trial to trial.

The sum of n Bernoullian trials give binomial distribution (n,p), p=probability of success.

Since we ask adults that they like rap music...the answer should be Yes and no. Hence first condition is satisfied.

The answer of any adult does not depend on the answer of other adult. Hence Condition ii is satisfied. However the probability of saying yes may vary from adult to adult so condition iii may not satisfied. Hence probability of success does not remain the same in all trials. So Answer is option B.

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