Suppose a widget machine has a 3% defective rate. This means that 3% of the widgets produced by the machine are defective on average. Suppose we randomly select widgets produced by this machine one by one. Let X equal the number widgets we select until we get our 1st defective widget. Let Y equal the number of widgets we select until we get our 2nd defective widget. a. What is the probability that the 1st defective widget occurs on the 1st trial? b. What is the variance of X? c. What is the probability that X > 13? d. What is the probability that X s 13? e. What is the probability that Y = 8? f. What is the probability that Y = 20? g. What is the smallest value k, such that the probability of finding a defective widget by trial k is at least .69? Add any comments below.

Suppose a widget machine has a 3% defective rate. This means that 3% of the widgets produced by the machine are defective on average. Suppose we randomly select widgets produced by this machine one by one. Let X equal the number widgets we select until we get our 1st defective widget. Let Y equal the number of widgets we select until we get our 2nd defective widget. a. What is the probability that the 1st defective widget occurs on the 1st trial? b. What is the variance of X? c. What is the probability that X > 13? d. What is the probability that X s 13? e. What is the probability that Y = 8? f. What is the probability that Y = 20? g. What is the smallest value k, such that the probability of finding a defective widget by trial k is at least .69? Add any comments below.

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Description: Suppose a widget machine has a 3% defective rate. This means that 3% of the widgets produced by the machine are defective on average. Suppose werandomly select widgets produced by this machine one by one. Let X equal the number widgets we select unt

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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