MATH1 com/webapps/blackboard/execute/content/file?cmd-view&content; id-_642049 1

Question

MATH1 com/webapps/blackboard/execute/content/file?cmd-view&content; id-_642049 1&course;_id-_208821 SHOW ALL OF YOUR WORK To #1-A lot of 20 components contains 4 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. Find (a) P(A) (b) P(BIA) (c) P(A and B) (d) Are A & B independent? Explain your answer Hint -may be helpful to throw together a tree diagram

Explanation / Answer

Ans:

a)P(A)=4/20=0.2

b)P(B/A)=3/19=0.1579

c)P(B and A)=(4/20)*(3/19)=12/380=0.0316

d)As,sampling is done without replacement,so A and B are not independent.

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