A soft drink factory uses filling machine to fill up their drinking bottles. The drinking bottles may categorized as X (fill to specification), Y(underfill), and Z (overfill). In general, the underfilling bottle is considered as defective item. Let P(Y)=0.001 while P(X) = 0.990. (i) Find the P(Z). (ii) What is the probability that a drinking bottle does not underfill? (iii) What is the probability that a drinking bottle either overfills or underfills?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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(a)
A soft drink factory uses filling machine to fill up their drinking bottles. The drinking
bottles may categorized as X (fill to specification), Y(underfill), and Z (overfill). In
general, the underfilling bottle is considered as defective item. Let P(Y) = 0.001 while
P(X) = 0.990.
(i)
Find the P(Z).
(ii)
What is the probability that a drinking bottle does not underfill?
(iii)
What is the probability that a drinking bottle either overfills or underfills?
Transcribed Image Text:(a) A soft drink factory uses filling machine to fill up their drinking bottles. The drinking bottles may categorized as X (fill to specification), Y(underfill), and Z (overfill). In general, the underfilling bottle is considered as defective item. Let P(Y) = 0.001 while P(X) = 0.990. (i) Find the P(Z). (ii) What is the probability that a drinking bottle does not underfill? (iii) What is the probability that a drinking bottle either overfills or underfills?
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