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A random sample of 100 students were asked how many hours they spend on Statistics assignments

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A random sample of 100 students were asked how many hours they spend on Statistics assignments.

 

Number of Hours	Count of Students
1	56
2	27
3	13
4	3
5	0
6	1
7+	0

 

1. Explain why the number of Hours might follow a geometric distribution with pdf

P(X=x) = p(1-p)^x-1

 

2. If we assume the distribution is geometric, what is the estimated mean and standard deviation?

 

3. If we assume the distribution is geometric, construct a 95% confidence interval for the mean.

 

4. Test the hypothesis that this distribution is, indeed, geometric.  State your conclusion clearly.