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# Of all the registered automobiles in a certain state, 10% ISBN: 9780073401331 38

## Solution for problem 5E Chapter 4.2

Statistics for Engineers and Scientists | 4th Edition

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Problem 5E

Problem 5E

Of all the registered automobiles in a certain state, 10% violate the state emissions standard, Twelve automobiles are selected at random to undergo an emissions test.

a. Find the probability that exactly three of them violate the standard.

b. Find the probability that fewer than three of them violate the standard.

c. Find the probability that none of them violate the standard.

Step-by-Step Solution:

Answer :

Step 1 of 4 :

Given,we have the data of registered automobiles in a certain state, 12 automobiles are selected at random to undergo an emission test, 10% violate the state emissions standard.

Let X follows binomial distribution with probability mass function is

P(x: n,p) =  (1 - p , x = 0, 1, 2, ….., n.

Mean of the binomial distribution is = np

Variance of the binomial distribution is = npq

Where, n = 12 and p = 10% = 0.10

Step 2 of 4

Step 3 of 4

##### ISBN: 9780073401331

Since the solution to 5E from 4.2 chapter was answered, more than 1455 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. This full solution covers the following key subjects: violate, standard, Probability, Find, emissions. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The full step-by-step solution to problem: 5E from chapter: 4.2 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. The answer to “Of all the registered automobiles in a certain state, 10% violate the state emissions standard, Twelve automobiles are selected at random to undergo an emissions test.a. Find the probability that exactly three of them violate the standard.________________b. Find the probability that fewer than three of them violate the standard.________________c. Find the probability that none of them violate the standard.” is broken down into a number of easy to follow steps, and 59 words. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331.

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Of all the registered automobiles in a certain state, 10%