Answered: Sadie inspects a batch of products by…

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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Question

Sadie inspects a batch of products by sampling 4 of them without replacement. If at least one of the products is defective in the sample, the whole batch is sent back.

Sadie doesn't know it, but in the batch she is inspecting now, there are 100 products and 11 are defective. If she samples 4 products from this batch without replacement,what is the probability that...

    a) All of the products in the sample will be defective?


     b) None of the products in the sample are defective?


     c) At least one of the products is defective and the whole batch is sent back?


For all of the above, round to four decimal places.

Expert Solution

Step 1

$11 d e f e c t i v e p r o d u c t s 89 n o n d e f e c t i v e p r o d u c t s______________________100 t o t a l p r o d u c t s s e l e c t s a m p l e o f 4 p r o d u c t s a t r a n d o m w i t h o u t r e p l a c e m e n t$