Two events A and B are such that P(Ã)= ² , P(B) =< and P(AUB) Find (a) (b) P(AN B) P(A\B) (ii) Show that A and B are neither mutually exclusive nor independent.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Answer detailly 8(i), (ii)

8.
(i)
Two events A and B are such that P(A)=, P(B) =
and P(AUB) =
. Find
%3D
(a)
(b)
P(AN B)
P(A\B)
(ii)
Show that A and B are neither mutually exclusive nor independent.
The probability that a vaccinated person (V) contracts a disease is For a person not
vaccinated (V'), the probability of contracting the disease (D) is
population has been vaccinated against the disease. A person is selected at random from the
town, find the probability that
(a)
(iii)
20
In a certain town 90% of the
he has the diseasc,
he is vaccinated or he has the disease.
(b)
Transcribed Image Text:8. (i) Two events A and B are such that P(A)=, P(B) = and P(AUB) = . Find %3D (a) (b) P(AN B) P(A\B) (ii) Show that A and B are neither mutually exclusive nor independent. The probability that a vaccinated person (V) contracts a disease is For a person not vaccinated (V'), the probability of contracting the disease (D) is population has been vaccinated against the disease. A person is selected at random from the town, find the probability that (a) (iii) 20 In a certain town 90% of the he has the diseasc, he is vaccinated or he has the disease. (b)
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