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# A spinner can land in any of four positions, A, B, C, and ISBN: 9780495110811 47

## Solution for problem 142E Chapter 2

Mathematical Statistics with Applications | 7th Edition

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Problem 142E

A spinner can land in any of four positions, A, B, C, and D, with equal probability. The spinner is used twice, and the position is noted each time. Let the random variable Y denote the number of positions on which the spinner did not land. Compute the probabilities for each value of Y .

Step-by-Step Solution:

Step 1 of 3:

Given that a spinner can land in any four positions, A, B, C, D, with equal probability.

The spinner is used twice, then the sample space is given by

S = { AA, AB, AC, AD, BA, BB, BC, BD, CA, CB, CC, CD, DA, DB, DC, DD}

Let Y denote the number of positions on which the spinner did not land.

Step 2 of 3:

Here we need to compute the probabilities for each value of Y.

Now,

 Sample point Y Sample point Y AA 3 CA 2 AB 2 CB 2 AC 2 CC 3 AD 2 CD 2 BA 2 DA 2 BB 3 DB 2 BC 2 DC 2 BD 2 DD 3

Each position has probability so every ordering of two positions (from two spins) has probability The values for Y are 2, 3.

Then,

{Y = 2} = {AB, AC, AD, BA, BC, BD, CA, CB, CD, DA, DB, DC}

{ Y = 3} = { AA, BB, CC, DD}.

Hence,

P{Y = 2} =  Step 3 of 3

##### ISBN: 9780495110811

The answer to “A spinner can land in any of four positions, A, B, C, and D, with equal probability. The spinner is used twice, and the position is noted each time. Let the random variable Y denote the number of positions on which the spinner did not land. Compute the probabilities for each value of Y .” is broken down into a number of easy to follow steps, and 55 words. This textbook survival guide was created for the textbook: Mathematical Statistics with Applications , edition: 7. This full solution covers the following key subjects: spinner, Land, positions, position, equal. This expansive textbook survival guide covers 32 chapters, and 3350 solutions. Since the solution to 142E from 2 chapter was answered, more than 1018 students have viewed the full step-by-step answer. Mathematical Statistics with Applications was written by and is associated to the ISBN: 9780495110811. The full step-by-step solution to problem: 142E from chapter: 2 was answered by , our top Statistics solution expert on 07/18/17, 08:07AM.

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