Question

In: Statistics and Probability

A medical experiment involved 35 men and 30 women of which 25 were randomly selected to...

A medical experiment involved 35 men and 30 women of which 25 were randomly selected to take part in testing a new medication.What is the probability that a)15were men?b)15 we're women?

Expert Solution

(a)

Let X denote the number of men in the randomly selected sample. The total number of individuals selected is 25 i.e. n=25; Now the probability of men being in the sample is

i.e.

[As it follows all the assumptions of the Binomial distribution]

We are to find P(X=15)

Hence the required probability is 0.132978776

(b)

Let X denote the number of women in the randomly selected sample. The total number of individuals selected is 25 i.e. n=25; Now the probability of women being in the sample is

i.e.

[As it follows all the assumptions of the Binomial distribution]

We are to find P(X=15)

Hence the required probability is 0.06152454107

Hopefully this will help you. In case of any query, do comment. If you are satisfied with the result, give it a like. Thanks.

orchestra answered 2 years ago

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