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.
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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2c89fb8-28c7-4f54-82f8-eda7977d51b8%2Fd6bf07f0-a0c0-4a06-81da-c6fde85784c2%2Fg0k6dvta_processed.jpeg&w=3840&q=75)
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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