Question

In: Statistics and Probability

The Red Cross honors and recognizesits best volunteers from time to time. One of the...

The Red Cross honors and recognizes its best volunteers from time to time. One of the Red Cross offices has received 12 nominations for the next group of 4 volunteers to be recognized. Seven of these 12 nominated volunteers are females. If Red Cross office decides to randomly select 4 names out of these 12 nominated volunteers, find the probability that of these 4 volunteers exactly 3 are females.

Expert Solution

Given Data

The Red Cross honors and recognizes its best volunteers from time to time.

One of the Red Cross offices has received 12 nominations for the next group of 4 volunteers to be recognized.

Seven of these 12 nominated volunteers are females.

We use binomial distribution

Where

n = 4 ,

= 0.6667

Exactly 3 are females.

= 0.3951

exactly 3 are females = 0.3951

orchestra answered 2 years ago

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