Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Our platform provides a seamless experience for finding precise answers from a network of experienced professionals. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.