2. Suppose you are purchasing small lots of LCDS for computer terminals. Since it is very costly to test an LCD,it may be desirable to test a sample of LCDS from the lot rather than every LCD in the lot. Suppose thateach lot contains 7 LCDS. You decide to sample 3 LCDS per lot and to reject the lot if you observe one ormore defectives in the sample.a. If the lot contains one defective LCD, what is the probability that you will accept the lot?b. If the lot contains 3 defective LCDS, What is the probability that you will accept the lot?c. If the lot contains 3 defective LCDS, what is the expected number of defectives in the sample? 5.3 Hypergeometric DistributionDefinition. A hypergeometric experiment is one that possesses the following properties:1) A random sample of sizen is selected without replacement from a population on N items.2) k of the N items may be classified as successes and N-k as failures.DefinitionX~ Нур(N,n, К)Hypergeometric DistributionIf the discrete random variable X is defined as the number of successesin a hypergeometric experiment, then it has the hypergeometric distributionwith probability mass functionKN- Kn - xx =max(0, n - N + K),, min(n, K);...p(x) =N.n = 1, 2, ..., Nп(0,otherwise.The mean and variance of X are given by ux =Kn-andK= nN|1-4N-nN - 1K, respectively.N

here use hypergeometric distribution X = no of defective in sample N = # population = 7 K = #…

Answered: a. If the lot contains one defective…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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a. If the lot contains one defective LCD, what is the probability that you will accept the lot? b. If the lot contains 3 defective LCDS, What is the probability that you will accept the lot? c. If the lot contains 3 defective LCDS, what is the expected number of defectives in the sample?