3Manufactured articles are packed in boxes, each containing 200 articles, and on average,1.5% of all articles manufactured are defective. A box which contains 4 or more defectivearticles is substandard.(i)Show that the probability that a randomly chosen box will be substandard is 0.353,correct to three decimal places.Find the probability that a randomly chosen box is substandard, given that at most10 articles in that box are defective.(iii) A lorry load consists of 16 boxes, randomly chosen. Find the probability that alorry load will include at most 2 boxes which are substandard, giving three decimalplaces in your answer.

Sample size n = 200 p = 0.015 Box containing 4 or more defective items is said to be substandard.

Answered: 3 Manufactured articles are packed in…

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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The prevalance of mild myopia (nearsightedness) in adults over age 40 is 27% in the US. Suppose eight adults over age 40 are chosen at random from the population; let Y denote the number of adults with mild myopia. Which of the following can be used to find the probability that 3 of them have mild myopia? [Select all that apply (i.e. you may select 1 or more answers)] A. pbinom(3, 8, 0.27) OB. dbinom(3, 8, 0.27) OC. 1-pbinom(3, 8, 0.27) OD. 56(0.27) 5 (0.73)³ OE. 3(0.27) ³ (1 - 0.27)5 OF. (0.27)³ (0.73)5
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