Answered

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Suppose that three microchips in a production run of thirty are defective. A sample of five is to be selected to be checked for defects. (a) How many different samples of five can be chosen from the production run of thirty? 142506 Correct: Your answer is correct. (b) How many samples will contain at least one defective chip? The set of samples that do not contain any defective chips and the set of samples that contain at least one defective chip are disjoint Correct: Your answer is correct. sets. So, the number of samples with at least one defective chip is . (c) What is the probability (as a percent) that a randomly chosen sample of five contains at least one defective chip? (Round your answer to one decimal place.) %

Sagot :

Answer:

a) 142506

b) 61776

c) 0.4333

Step-by-step explanation:

Given

Three microchips in a production run of thirty are defective

The probability of having a defective microchips is 3/30 = 0.1

Probability of having a good microchip is 0.9

a) Possible ways of selecting five sample =  

30C5

30*29*28*27*26*25!/25! *5! = 17100720/120 = 142506

b) With one defective microchip  

Total sample – sample without any defective microchip  

142506 – 37C5

142506 – 80730

61776

c) Probability = 61776/142506 = 0.4333

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