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# A professor gave her students six essay questions from ISBN: 9780321923271 41

## Solution for problem 13E Chapter 2.1

Probability and Statistical Inference | 9th Edition

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Problem 13E

A professor gave her students six essay questions from which she will select three for a test. A student has time to study for only three of these questions. What is the probability that, of the questions studied,

(a) at least one is selected for the test?

(b) all three are selected?

(c) exactly two are selected?

Step-by-Step Solution:

Step 1 of 4:

Given that, a professor gave her students six essay questions from which she will select three for a test. A student has time to study for only three of these questions.

Step 2 of 4:

The aim is to find the probability that, of the questions studied,

a). To find the probability that at least one is selected for the test.

Let ‘x’ be the number of chosen studied questions.

The number of not studied questions in the sample is ways.

The number of studied questions in the sample is ways.

And selecting 3 questions from 6 questions is ways.

Therefore,

P(at least one selected) = 1- P(none of them selected)

= 1- = 1- = Therefore, the probability that at least one is selected for the test is 0.95.

Step 3 of 4

Step 4 of 4

##### ISBN: 9780321923271

This full solution covers the following key subjects: selected, questions, test, Essay, least. This expansive textbook survival guide covers 59 chapters, and 1476 solutions. The full step-by-step solution to problem: 13E from chapter: 2.1 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM. Since the solution to 13E from 2.1 chapter was answered, more than 434 students have viewed the full step-by-step answer. The answer to “A professor gave her students six essay questions from which she will select three for a test. A student has time to study for only three of these questions. What is the probability that, of the questions studied,(a) at least one is selected for the test?(b) all three are selected?(c) exactly two are selected?” is broken down into a number of easy to follow steps, and 54 words. This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271.

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