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Between 4% and 21% of individuals in the US will catch the flu each year. Suppose...

Between 4% and 21% of individuals in the US will catch the flu each year. Suppose you come up with a cure that " kind of" works. after countless testing for many years among millions of random patients, the data shows that if administered to randomly selected patient confirmed of having flu, the success rate for the cure is 15%. Assume biological factors among patients are random, and that no true correlation or causation has been discovered.

Confirm whether or not a binomial distribution would be appropriate for this probability distribution by stating whether or not criteria for the binomial are stratified. State any assumptions.

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Answer #1

The conditions for using binomial distribution are

1) Probability of suceess must be constant

2) Number of trials must be fixed and

3) Trials must be independent

The probability of success can be assumed to remain constant, that is 0.15

Since there are no true correlation or causation discovered, it is safe to assume that the success on one trial is independent of other trials.

The number of trials fixed as the sample size selected for the experiment

Therefore, it is appropriate to use binomial distribution here.

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