In a large university, 75% of students live in dormitories. A random sample of 5 students is selected. Use the binomial probability tables to answer the following questions.
a.What is the probability that the sample contains exactly three students who live in the dormitories?b.What is the probability that the sample contains no students who lives in the dormitories?c.What is the probability that the sample contains more than three students who do not live in the dormitories?d.What is the expected number of students (in the sample) who do not live in the dormitories?
What will be an ideal response?
| a. | 0.2637 |
| b. | 0.001 |
| c. | 0.0156 |
| d. | 1.25 |
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