Answer Probability questions
The Internal Revenue Service is studying the category of charitable contributions. A sample of 18 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 18 returns, 4 had charitable contributions of more than $1,000. Suppose 3 of these returns are selected for a comprehensive audit. |
| a | You should use the hypergeometric distribution is appropriate. Because |
| b. | What is the probability exactly one of the three audited had a charitable deduction of more than $1,000? (Round your answer to 4 decimal places.) |
| Probability | [removed] | [removed] | ||||||||||
| b. | Compute the mean of the distribution of sample means and the population mean. (Round your answers to 2 decimal places.) |
| Sample means | [removed] |
| Population mean | [removed] |
The mean age at which men in the United States marry for the first time follows the normal distribution with a mean of 24.8 years. The standard deviation of the distribution is 2.9 years. |
For a random sample of 58 men, what is the likelihood that the age at which they were married for the first time is less than 25.2 years? (Round z value to 2 decimal places. Round your answer to 4 decimal places.) |
| Probability | [removed] |
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