A small dairy plant packages milk into 1 litre cartons. The company uses an automatedmachine for filling the milk into the cartons. From past records it is known that 1 in 8cartons that go through this machine are filled with less than 750 millilitres of milk. Arandom sample of 12 cartons that have gone through the machine is selected.1.1. State the precise random variable required to solve this problem using Binomialdistribution.1.2. State 2 of the conditions necessary for a random variable to be modelled using abinomial distribution.11.3. Find the probability that exactly two cartons are filled with less than 750 millilitres ofmilk.1.4. Find the probability that none of cartons are filled with less than 750 millilitres ofmilk.1.5. The machine will be recalibrated only if more than 3 cartons in the sample have lessthan 750 millilitres of milk.Find the probability that the machine will not need recalibration.

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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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