Consider two events A and B. The probability for event A is P(A) = 0.52. Suppose P(B|A) = 0.65 an P(B|AC) = 0.45. a. Find P(AC). b. Find P(An B). Find P(AC n B). C.

A First Course in Probability (10th Edition)
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Consider two events A and B. The probability for event A is P(A) = 0.52. Suppose P(B|A) = 0.65 and
P(B|AC) = 0.45.
a. Find P(AC).
b. Find P(An B).
c. Find P(An B).
d.
Construct a probability tree diagram. See the diagram on pages 50 and 52 of the course packet.
Find P(B).
Find P(A/B).
Are A and B mutually exclusive? Why or why not?
Are A and B independent? Why or why not?
U
e.
f.
g.
h.
Transcribed Image Text:Consider two events A and B. The probability for event A is P(A) = 0.52. Suppose P(B|A) = 0.65 and P(B|AC) = 0.45. a. Find P(AC). b. Find P(An B). c. Find P(An B). d. Construct a probability tree diagram. See the diagram on pages 50 and 52 of the course packet. Find P(B). Find P(A/B). Are A and B mutually exclusive? Why or why not? Are A and B independent? Why or why not? U e. f. g. h.
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