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Try It Σ3.10 A student goes to the library. Let events B - the student checks out a book and D - the student checks out aDVD. Suppose that P(B) 0.40, P(D) 0.30 and P(B AND D)0.20.a. Find P(B|D).b. Find P(DIB)c. Are B and D independent?d. Are B and D mutually exclusive?

Question

A student goes to the library. Let events B= the student checks out a book and D= the student checks out a DVD. Suppose that P(B)= 0.40, P(D)= 0.30 and P(A and B)= 0.20. 

 

A. Find P(B|D). 

B. Find P(D|B). 

C. Are B and D independent?

D. Are B and D mutually exclusive?  

Try It Σ
3.10 A student goes to the library. Let events B - the student checks out a book and D - the student checks out a
DVD. Suppose that P(B) 0.40, P(D) 0.30 and P(B AND D)0.20.
a. Find P(B|D).
b. Find P(DIB)
c. Are B and D independent?
d. Are B and D mutually exclusive?
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Try It Σ 3.10 A student goes to the library. Let events B - the student checks out a book and D - the student checks out a DVD. Suppose that P(B) 0.40, P(D) 0.30 and P(B AND D)0.20. a. Find P(B|D). b. Find P(DIB) c. Are B and D independent? d. Are B and D mutually exclusive?

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Step 1

Note:Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not mentioned the subparts you need help with. Please resubmit the question and specify the other subparts you’d like to get answered

Given:

P(B) = 0.40

P(D) = 0.30

P(B and D) = 0.20

Step 2

Part 1).

P(B|D) means probability that a student checks out a book given that he has checked out a DVD.

Calculations are given on whiteboard, after calculations we got 

P(B|D)  = 0.667.

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Step 3

Part 2).

P(D|B) means that probability that a student checks out a DVD given that he has checked out a bo...

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