Defective components: A lot of 11 components contains 3 that are defective. Two components are drawn at random and tested. Let A be the event that the first component drawn is defective, and let B be the event that the second component drawn is defective. Write your answer as a fraction or a decimal, rounded to four decimal places. (a) Find PA .   (b) Find PB|A .   (c) Find PA and B .   (d) Are A  and  B  independent? Explain.

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Defective components: A lot of

11

components contains

3

that are defective. Two components are drawn at random and tested. Let

A

be the event that the first component drawn is defective, and let

B

be the event that the second component drawn is defective. Write your answer as a fraction or a decimal, rounded to four decimal places.

(a) Find

PA

.

 

(b) Find

PB|A

.

 

(c) Find

PA and B

.

 

(d) Are

A

 and 

B

 independent? Explain.

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