Q4 Conditional and Independent Events Consider two events A and B, where the probability that A occurs is 0.8, the probability that B occurs given that A occurs is 0.5, and the probability that B occurs given that A does not occur is 0.9. Q4.1 Find the probability that A does not occur, P(A'). Enter your answer here Q4.2 Find the probability that B occurs, P(B). O P(B) = 0.18 О Р(В) - 0.58 О Р(В) - 0.20 О Р(В) - 0.40 %3D %3D

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Q4 Conditional and Independent Events
Consider two events A and B, where the probability that A occurs is 0.8, the probability that
B occurs given that A occurs is 0.5, and the probability that B occurs given that A does not
occur is 0.9.
Q4.1
Find the probability that A does not occur, P(A').
Enter your answer here
Q4.2
Find the probability that B occurs, P(B).
O P(B) = 0.18
О Р(В) - 0.58
О Р(В) - 0.20
О Р(В) - 0.40
Transcribed Image Text:Q4 Conditional and Independent Events Consider two events A and B, where the probability that A occurs is 0.8, the probability that B occurs given that A occurs is 0.5, and the probability that B occurs given that A does not occur is 0.9. Q4.1 Find the probability that A does not occur, P(A'). Enter your answer here Q4.2 Find the probability that B occurs, P(B). O P(B) = 0.18 О Р(В) - 0.58 О Р(В) - 0.20 О Р(В) - 0.40
Q4.3
Which of the following statements is correct with regards to events A and B?
Statement I: The events A and B are independent.
Statement II: The events A and B are mutually exclusive.
O Both Statements I and IlI are true.
O Both Statements I and Il are false.
Transcribed Image Text:Q4.3 Which of the following statements is correct with regards to events A and B? Statement I: The events A and B are independent. Statement II: The events A and B are mutually exclusive. O Both Statements I and IlI are true. O Both Statements I and Il are false.
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