Answered: The Lemon brand cars have a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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#9 is D, please show how you would get this answer!

$**Question 8:** Øyvindå has decided that there are too many red roses in her garden, and decides to remove 5 of the 25 red roses. In how many ways can she choose the five roses? Choices: - (a) $25^5$ - (b) $5^{25}$ - (c) $C(20,5)$ - (d) $P(20,5)$ - (e) $C(25,5)$ - (f) none of the above **Question 9:** The Lemon brand cars have a transmission which fails with probability .6, and brakes which fail with probability .3; the two kinds of failures occur independently. What is the probability that exactly one of the failures occurs when you drive a Lemon? Choices: - (a) .72 - (b) .28 - (c) .46 - (d) .54 - (e) .9 - (f) none of the above **Explanation:** - Question 8 involves finding the number of ways to choose a subset of roses from a larger set, which typically requires understanding combinations. - Question 9 is a probability problem involving independent events, where you need to calculate the probability of exactly one event happening out of two possible events.$

Transcribed Image Text:**Question 8:** Øyvindå has decided that there are too many red roses in her garden, and decides to remove 5 of the 25 red roses. In how many ways can she choose the five roses? Choices: - (a) $25^5$ - (b) $5^{25}$ - (c) $C(20,5)$ - (d) $P(20,5)$ - (e) $C(25,5)$ - (f) none of the above **Question 9:** The Lemon brand cars have a transmission which fails with probability .6, and brakes which fail with probability .3; the two kinds of failures occur independently. What is the probability that exactly one of the failures occurs when you drive a Lemon? Choices: - (a) .72 - (b) .28 - (c) .46 - (d) .54 - (e) .9 - (f) none of the above **Explanation:** - Question 8 involves finding the number of ways to choose a subset of roses from a larger set, which typically requires understanding combinations. - Question 9 is a probability problem involving independent events, where you need to calculate the probability of exactly one event happening out of two possible events.

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The Lemon brand cars have a transmission which fails with probability .6, and brakes which fail with probability 3; the two kinds of failures occur inde- pendently. What is the probability that exactly one of the failures occurs when you drive a Lemon?