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Suppose A and B are events with P(A) = 0.3 and P(B) = 0.7. a. Do we have enough information to calculate P(A and B) based on this information? If not, what additional information do we need? b. Assuming that events A and B are independent events, find P(A and B) and P(A | B). c. Suppose we are given that P(A and B) = 0.1. Are events A and B independent? Explain. d. If we are given that P(A and B) = 0.1 , what is P(A | B)?

Suppose A and B are events with P(A) = 0.3 and P(B) = 0.7. a. Do we have enough information to calculate P(A and B) based on this information? If not, what additional information do we need? b. Assuming that events A and B are independent events, find P(A and B) and P(A | B). c. Suppose we are given that P(A and B) = 0.1. Are events A and B independent? Explain. d. If we are given that P(A and B) = 0.1 , what is P(A | B)?

A First Course in Probability (10th Edition)
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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Suppose A and B are events with P(A) = 0.3 and P(B) = 0.7. a. Do we have enough information to calculate P(A and B) based on this information? If not, what additional information do we need? b. Assuming that events A and B are independent events, find P(A and B) and P(A | B). c. Suppose we are given that P(A and B) = 0.1. Are events A and B independent? Explain. d. If we are given that P(A and B) = 0.1 , what is P(A | B)?
Transcribed Image Text:Suppose A and B are events with P(A) = 0.3 and P(B) = 0.7. a. Do we have enough information to calculate P(A and B) based on this information? If not, what additional information do we need? b. Assuming that events A and B are independent events, find P(A and B) and P(A | B). c. Suppose we are given that P(A and B) = 0.1. Are events A and B independent? Explain. d. If we are given that P(A and B) = 0.1 , what is P(A | B)?
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