The director of admissions at Kinzua University in Nova Scotia estimated

The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience.

Admissions Probability
1,030 0.5
1,420 0.2
1,580 0.3
1. What is the expected number of admissions for the fall semester?

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Expected number of admissions
2. Compute the variance and the standard deviation of the number of admissions. (Round your standard deviation to 2 decimal places.)

Variance
Standard deviation

2.

The Internal Revenue Service is studying the category of charitable contributions. A sample of 36 returns is selected from young couples between the ages of 20 and 35 who had an adjusted gross income of more than $100,000. Of these 36 returns, 6 had charitable contributions of more than $1,000. Suppose 5 of these returns are selected for a comprehensive audit.

a You should use the hypergeometric distribution is appropriate. Because

(Click to select)you are sampling a large population without replacement.you are sampling a small population with replacement.you are sampling a small population without replacement.

b. What is the probability exactly one of the five audited had a charitable deduction of more than $1,000? (Round your answer to 4 decimal places.)

Probability

c. What is the probability at least one of the audited returns had a charitable contribution of more than $1,000? (Round your answer to 4 decimal places.)

Probability
References
eBook & Resources
WorksheetDifficulty: 1 BasicLearning Objective: 06-05 Explain the assumptions of the hypergeometric distribution and apply it to calculate probabilities.