Suppose that past history shows that 5% of college students are sports fans. A sample of...

Suppose that past history shows that 5% of college students are sports fans. A sample of 10 students is to be selected.

Find the probability that exactly one student is a sports fan.
Find the probability that at least one student is sports fan.
Find the probability that less than one student is a sports fan.
Find the probability that at most one student is a sports fan.
Find the probability that more than one student is a sports fan.
A sample of 100 students is selected. What is the standard deviation of the number of sports fans you expect?

Solutions

Expert Solution

Let X denote the number of sports fan in the sample. Then

Required probability =

Let X denote the number of sports fan in the sample. Then

Required probability =

Let X denote the number of sports fan in the sample. Then

Required probability =

Let X denote the number of sports fan in the sample. Then

Required probability =

Let X denote the number of sports fan in the sample. Then

Required probability =

Let X denote the number of sports fan in the sample. Then

Since , so,

Standard Deviation (X) =

orchestra answered 1 year ago

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