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Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 2 - Problem 31e
Get Full Access to Probability And Statistics For Engineers And The Scientists - 9 Edition - Chapter 2 - Problem 31e

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# The composer Beethoven wrote 9 symphonies, 5 piano

ISBN: 9780321629111 32

## Solution for problem 31E Chapter 2

Probability and Statistics for Engineers and the Scientists | 9th Edition

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Problem 31E

The composer Beethoven wrote 9 symphonies, 5 piano concertos (music for piano and orchestra), and 32 piano sonatas (music for solo piano). a. How many ways are there to play first a Beethoven symphony and then a Beethoven piano concerto? b. The manager of a radio station decides that on each successive evening (7 days per week), a Beethoven symphony will be played followed by a Beethoven piano concerto followed by a Beethoven piano sonata. For how many years could this policy be continued before exactly the same program would have to be repeated?

Step-by-Step Solution:

Answer: Step 1 of 1 Given, the composer Beethoven wrote 9 symphonies, 5 piano concertos (music for piano and orchestra), and 32 piano sonatas (music for solo piano). a. We need to determine how many ways are there to play first a Beethoven symphony and then a Beethoven piano concerto. = 9P1 5P =1× 5 = 45. Hence, there are 45 ways to play first a Beethoven symphony and then a Beethoven piano concerto. b. The manager of a radio station decides that on each successive evening (7 days per week), a Beethoven symphony will be played followed by a Beethoven piano concerto followed by a Beethoven piano sonata. We need to check for how many years could this policy be continued before exactly the same program would have to be repeated. 9P1 5P ×12P = 15×32 = 1440 Using the Fundamental Counting Principle 1440 =3.945 4 years 365 days in a year Therefore, this policy be continued for 4 years before exactly the same program would have to be repeated.

Step 2 of 1

##### ISBN: 9780321629111

This textbook survival guide was created for the textbook: Probability and Statistics for Engineers and the Scientists, edition: 9. This full solution covers the following key subjects: piano, Beethoven, Concerto, symphony, Music. This expansive textbook survival guide covers 18 chapters, and 1582 solutions. Probability and Statistics for Engineers and the Scientists was written by and is associated to the ISBN: 9780321629111. The full step-by-step solution to problem: 31E from chapter: 2 was answered by , our top Statistics solution expert on 05/06/17, 06:21PM. The answer to “The composer Beethoven wrote 9 symphonies, 5 piano concertos (music for piano and orchestra), and 32 piano sonatas (music for solo piano). a. How many ways are there to play first a Beethoven symphony and then a Beethoven piano concerto? b. The manager of a radio station decides that on each successive evening (7 days per week), a Beethoven symphony will be played followed by a Beethoven piano concerto followed by a Beethoven piano sonata. For how many years could this policy be continued before exactly the same program would have to be repeated?” is broken down into a number of easy to follow steps, and 94 words. Since the solution to 31E from 2 chapter was answered, more than 700 students have viewed the full step-by-step answer.

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