Defective components: A lot of 10 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 P(A)= (b) Find P(B|A)= (c) Find P(A and B)= (d) Are A and B independent? Explain.

MATLAB: An Introduction with Applications
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Defective components: A lot of 10 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 P(A)=

(b) Find P(B|A)=

(c) Find P(A and B)=

(d) Are A and B independent? Explain. 

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