A laptop manufacturing company has implemented a 2-step process to test the quality of each production batch. In the first step, a technician randomly selects 15 laptops from the batch and determines whether they meet specifications. The batch is considered acceptable provided no more than 1 laptop fails to meet specifications. Otherwise, the entire batch must be tested in the second step. Historical data shows that 95% of the laptops produced adhere to specifications. Discuss the following:What are the 4 characteristics of a binomial experiment?Can we use a binomial distribution to model this process?What is the probability that the entire batch unnecessarily has to be tested if in fact 95% of its laptops conform to specifications? (Hint: Use Excel’s =BINOMDIST() function to find the probability.)What is the probability that the batch is incorrectly accepted if only 75% of its laptops conform to specifications?Please include how to use BINOM.DIST function in Excel.

Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a time so we are answering the first three as you have not mentioned which of these you are looking for. Please re-submit the question separately for the remaining sub-parts. Given, n = 15 a) What are the 4 characteristics of a binomial experiment? Answer: 1) Results are independent 2) Two types of results 1) Success (p) 2) Failure (q) 3) Probability of success p is cosntant in the n tests 4) Probability of failure q is constant in the n tests.b) Can we use a binomial distribution to model this process? Answer: Yes, we can use binomial distribution to model this process.c) What is the probability that the entire batch unnecessarily has to be tested if in fact 95% of its laptops conform to specifications? Answer: p = 0.95 q = 0.05 n = 0,1,2-----15 To find the required probability we use Excel: The Excel command is: =BINOM.DIST(number_s, trials, probability_s, cumulative) Folowing is the output for 0 to 15 Probability of unnecessary testing = P(q) = 1-0.46329 P(q) = 0.53671

Answered: A laptop manufacturing company has…

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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A laptop manufacturing company has implemented a 2-step process to test the quality of each production batch. In the first step, a technician randomly selects 15 laptops from the batch and determines whether they meet specifications. The batch is considered acceptable provided no more than 1 laptop fails to meet specifications. Otherwise, the entire batch must be tested in the second step. Historical data shows that 95% of the laptops produced adhere to specifications. Discuss the following:

What are the 4 characteristics of a binomial experiment?
Can we use a binomial distribution to model this process?
What is the probability that the entire batch unnecessarily has to be tested if in fact 95% of its laptops conform to specifications? (Hint: Use Excel’s =BINOMDIST() function to find the probability.)
What is the probability that the batch is incorrectly accepted if only 75% of its laptops conform to specifications?

Please include how to use BINOM.DIST function in Excel.

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