A lot of 10 components contains 3 that are defective. Two components are drawn at random
Chapter 2, Problem 23(choose chapter or problem)
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.
a. Find \(P(A)\).
b. Find \(P(B \mid A)\).
c. Find \(P(A \cap B)\).
d. Find \(P\left(A^{c} \cap B\right)\).
e. Find \(P(B)\).
f. Are A and B independent? Explain.
Equation Transcription:
Text Transcription:
P(A)
P(B|A)
P(A \cap B)
P(A^c \cap B)
P(B)
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