A publisher intends to publish a statistics textbook. The past records showed that 40% of his publications were successful in generating profits, 25% achieved breakeven and 35% resulted in losses. 70% of his successful publications, 30% of those that achieved breakeven and 20% of those that resulted in losses received good reviews. Calculate the probability that (a) publishing the textbook will achieve breakeven but receive good reviews, (i) the textbook will be either published successfully or receiving good reviews, (ii) (iii) publishing the textbook will result in a loss if it does not receive good reviews.

A publisher intends to publish a statistics textbook. The past records showed that 40% of his publications were successful in generating profits, 25% achieved breakeven and 35% resulted in losses. 70% of his successful publications, 30% of those that achieved breakeven and 20% of those that resulted in losses received good reviews. Calculate the probability that (a) publishing the textbook will achieve breakeven but receive good reviews, (i) the textbook will be either published successfully or receiving good reviews, (ii) (iii) publishing the textbook will result in a loss if it does not receive good reviews.

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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Question

A publisher intends to publish a statistics textbook. The past records showed
that 40% of his publications were successful in generating profits, 25% achieved
breakeven and 35% resulted in losses. 70% of his successful publications, 30%
of those that achieved breakeven and 20% of those that resulted in losses
received good reviews. Calculate the probability that
(a)
(i)
publishing the textbook will achieve breakeven but receive good
reviews,
the textbook will be either published successfully or receiving good
reviews,
(ii)
(iii) publishing the textbook will result in a loss if it does not receive good
reviews.
(b)
There are 5 green, 5 blue and 8 red marbles in a jar. Andrew randomly selects
two marbles without replacement. Find the probability that the two marbles
selected are
(i)
of different colours,
(ii)
red if they are
the same colour, leave your answer in exact value.
(c)
A set contains subsets of A, B and C with P(B) 0, P(A|B)%3D0,
P(AnC)=0.15, P(4|C)=0.3, P(BnC')=0.2, P(AUBUC")=1 and
P(AUBUC)'=0, Find the probability of event A.

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