Question

5a. [2 marks] A and B are independent events such that P(A) = P(B) = p, p ? 0. Show that P(A U B) = 2p - p^2. 5b. [4 marks] Find P(A|A U B) in simplest form.

          5a. [2 marks]
A and B are independent events such that P(A) = P(B) = p, p ? 0.
Show that P(A U B) = 2p - p^2.
5b. [4 marks]
Find P(A|A U B) in simplest form.

Added by Hugo R.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Pritesh Ranjan

10/26/2023

Step 1

Step 1: Since A and B are independent events, we know that P(A ∩ B) = P(A) * P(B) = p * p = p^2. Show more…

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5a. [2 marks] A and B are independent events such that P(A)=P(B)=p,p!=0. Show that P(Acup B)=2p-p^(2). 5b. [4 marks] Find P(A|Acup B) in simplest form. 5a.[2 marks] A and B are independent events such that P(A)=P(B)=p, p 0. Show that P(A U B)= 2p-p2 I 5b.[4 marks] Find P(A|A U B) in simplest form