MATH 215 Exam 3 Review, Spring 2017 Sections 15.1-16.4 1. At a factory that prod

Question

MATH 215 Exam 3 Review, Spring 2017 Sections 15.1-16.4 1. At a factory that produces switches, a batch of 3000 switches has just been produced. To check the quality of the switches, a random sample of 75 switches is selected to test for defects. Of these 75 switches, two were found to be defective. Based on these results, what is the best estimate you can give for the number of defective switches in the batch of 3000? Solve this problem in three different ways, explaining your reasoning in each case.

Explanation / Answer

we know that in a sample of 75 switches , 2 were defective

so the probability of defective is

2/75

= 0.0266

so in batch of 3000 switches the number of defective switches would be

3000*0.0266 = 80 approx

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