Find the indicated probability.A company manufactures calculators in batches of 55 and claims that the rate of defects is 5%. Find the probability of getting exactly 3 defects in a batch of 55 if the rate of defects is 5%. If a store receives a batch of 55 calculators and finds that there are 3 defective calculators, do they have any reason to doubt the company's claimed rate of defects? options**** 0.0180; Yes. If the rate of defects is really 5%, the probability of finding 3 defects in a batch of 55 calculators is very small. 0.228; No. If the rate of defects is really 5%, it is not so unlikely to find 3 defects in a batch of 55 calculators. 0.237; No. If the rate of defects is really 5%, it is not so unlikely to find 3 defects in a batch of 55 calculators. 1.37; No. If the rate of defects is really 5%, it is not so unlikely to find 3 defects in a batch of 55 calculators.

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Description: Find the indicated probability.A company manufactures calculators in batches of 55 and claims that the rate of defects is 5%. Find the probability of getting exactly 3 defects in a batch of 55 if the rate of defects is 5%. If a store receives a batch

Answered: Find the indicated probability. A…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Find the indicated probability.

A company manufactures calculators in batches of 55 and claims that the rate of defects is 5%. Find the probability of getting exactly 3 defects in a batch of 55 if the rate of defects is 5%. If a store receives a batch of 55 calculators and finds that there are 3 defective calculators, do they have any reason to doubt the company's claimed rate of defects?

options****

		0.0180; Yes. If the rate of defects is really 5%, the probability of finding 3 defects in a batch of 55 calculators is very small.
		0.228; No. If the rate of defects is really 5%, it is not so unlikely to find 3 defects in a batch of 55 calculators.
		0.237; No. If the rate of defects is really 5%, it is not so unlikely to find 3 defects in a batch of 55 calculators.
		1.37; No. If the rate of defects is really 5%, it is not so unlikely to find 3 defects in a batch of 55 calculators.

Expert Solution

Step 1

Introduction:

Denote X as the random variable of interest here, which is the number of defects in a batch of 55 calculators.

Consider it to be a success if a randomly selected calculator is defective.

As 5% of the calculators are defective, the probability of “success” is p = 5% = 0.05.

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