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Solutions for Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi 9780073401331

Solution for problem 2E Chapter 2.3

Let A and B be events with P(A) = 0.5 and P(A n Bc) = 0.4.

Statistics for Engineers and Scientists | 4th Edition


Problem 2E

Let A and B be events with \(P(A)=0.5\) and \(P\left(A \cap B^{c}\right)=0.4\). For what value of \(P(B)\) will A and B be independent?

Equation Transcription:

Text Transcription:

P(A)=0.5

P(ABc)=0.4

P(B)

Accepted Solution
Step-by-Step Solution:

Solution :

Step 1 of 1:

Let A and B be the two events.

The probability of A is

P(A)=0.5 and

=0.4

Our goal is :

We need to find the probability the value of P(B).

Now we have to find the value of P(B).

Here A and B be the two independent events.

The formula of the .

Then,

 

We know that P(A)=0.5 and =0.4.

Now,

 

Therefore the value of P(B) is 0.2.


Chapter 2.3, Problem 2E is Solved

Step 2 of 1

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Let A and B be events with P(A) = 0.5 and P(A n Bc) = 0.4.