Question

Given two events X,Y with P(X)= 4/8 and P(Y)=2/4 1.What is the smallest possible value of...

Given two events X,Y

with P(X)= 4/8

and P(Y)=2/4

1.What is the smallest possible value of P (X ∩ Y)?

2 What is the largest possible value, that is, find x and y

such that,

x≤ P( X ∩ Y ) ≤ y, holds and any value in the closed interval [x,y] is possible

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

It is given that .

We have

Thus,

1) Therefore, is minimum when .

Thus the minimum possible value of is

2) We have

Thus the maximum possible value of is the maximum of and . Thus

Thus,  .

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