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A random sample of 10 examination papers in a course, which was given on a pass or fail basis, showed the following
Grade Status
85 pass
87 fail
92 pass
85 fail
79 pass
90 pass
88 fail
74 pass
79 fail
91 pass
1. Estimate the probability that the grade will be more than 85.
2. Estimate the probability that the proportion of fail will be less than 0.65.
3. Estimate the 97% confidence interval for Grade.
4. Estimate the interval of the proportion for pass at the 98% confidence level
If marginal utility is zero
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