In a particular country, cultured milk are manufactured, in bottles, by two companies, Yacoatand Vitergent. 60% of all cultured milk in that country are manufactured by Yacoat while theremaining 40% are manufactured by Vitergent. Both companies manufacture the cultured milkin three different flavours, "Apple", "Grape" and "Orange", and the percentage of each flavourmanufactured by each of the two companies is as follows,Apple Grape| Orange30% 20%Vitergent 100p% 10% 100%Yacoat50%where p and q are real constants. A bottle of cultured milk is randomly selected.(a) Find the probability that(i) it is grape-flavoured.(ii) it was manufactured by Yacoat, given that it is grape-flavoured.(b) Suppose that the probability that it is apple-flavoured and is manufactured by Vitergentis 0.1 less than the probability that it is orange-flavoured and manufactured by VitergentBy setting up two equations involving p and q, find the values of p and q.Three bottles are selected at random.(c) Find the probability that exactly one of them is grape-flavoured.

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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