Question
In: Statistics and Probability
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
1)
Let X denote the number of sports fan in the sample. Then
Required probability = 
2)
Let X denote the number of sports fan in the sample. Then
Required probability = 
3)
Let X denote the number of sports fan in the sample. Then
Required probability = 
4)
Let X denote the number of sports fan in the sample. Then
Required probability = 
5)
Let X denote the number of sports fan in the sample. Then
Required probability = 
6)
Let X denote the number of sports fan in the sample. Then
Since
, so,
Standard Deviation (X) = 
orchestra answered 1 year agoRelated Solutions
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