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# Let A and B be events with P(A) = 0.3 and P(A ? B) = ## Problem 12SE Chapter 2

Statistics for Engineers and Scientists | 4th Edition

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Problem 12SE

Let A and B be events with P(A) = 0.3 and P(A ∪ B) = 0.7.

a. For what value of P(B) will A and B he mutually exclusive?

b. For what value of P(B) will A and B be independent?

Step-by-Step Solution:

Step 1 of 3:

Let A and B are events with probability P(A)=0.3 and P(A B) =0.7.

We have to find

For what value of P(B) , the events A and B are mutually exclusive.   For what value of P(B) , the events A and B are independent.

Step 2of 3:

Mutually exclusive events are events that cannot occur simultaneously,which means they are disjoint.

That is,

P( = 0 P(A =  P(A) + P(B)

P( =  0.7

P(A)     =  0.3 P(B)        =  P( - P(A)

= 0.4

That means when  P(B) =0.4 the events A and B are mutually exclusive.

Step 3 of 3

##### ISBN: 9780073401331

Since the solution to 12SE from 2 chapter was answered, more than 244 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. This full solution covers the following key subjects: Events, exclusive, independent, let, mutually. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The answer to “Let A and B be events with P(A) = 0.3 and P(A ? B) = 0.7.a. For what value of P(B) will A and B he mutually exclusive?________________b. For what value of P(B) will A and B be independent?” is broken down into a number of easy to follow steps, and 39 words. The full step-by-step solution to problem: 12SE from chapter: 2 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331.

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Let A and B be events with P(A) = 0.3 and P(A ? B) =

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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 2 - Problem 12se

Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 2 - Problem 12se