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A manufacturing company agree to a discount on any invoice that is paid within 30 days. Of all invoices, 10% received discount. In the company audit, 20 of invoices randomly selected and independent of each other. (i) Define what is the random variable X, then write its distribution (ii) Calculate the probability that fewer than 4 invoices in the sample of 12 receive discount? (iii) What is the probability that at least 4 of the invoices in the sample of 12 receive the discount?

A manufacturing company agree to a discount on any invoice that is paid within 30 days. Of all invoices, 10% received discount. In the company audit, 20 of invoices randomly selected and independent of each other. (i) Define what is the random variable X, then write its distribution (ii) Calculate the probability that fewer than 4 invoices in the sample of 12 receive discount? (iii) What is the probability that at least 4 of the invoices in the sample of 12 receive the discount?

MATLAB: An Introduction with Applications
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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(b) A manufacturing company agree to a discount on any invoice that is paid within 30 days. Of all invoices, 10% received discount. In the company audit, 20 of invoices randomly selected and independent of each other. (i) Define what is the random variable X, then write its distribution (ii) Calculate the probability that fewer than 4 invoices in the sample of 12 receive discount? (iii) What is the probability that at least 4 of the invoices in the sample of 12 receive the discount? (iv) Find the mean and standard deviation of random variable X
Transcribed Image Text:(b) A manufacturing company agree to a discount on any invoice that is paid within 30 days. Of all invoices, 10% received discount. In the company audit, 20 of invoices randomly selected and independent of each other. (i) Define what is the random variable X, then write its distribution (ii) Calculate the probability that fewer than 4 invoices in the sample of 12 receive discount? (iii) What is the probability that at least 4 of the invoices in the sample of 12 receive the discount? (iv) Find the mean and standard deviation of random variable X
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