Suppose that E and F are two events and that P(E & F)=0.1and P(E)=0.5. What is P(F|E)? (Type an integer or a decimal. Do not round.)
Suppose that E and F are two events and that P(E & F)=0.1and P(E)=0.5. What is P(F|E)? (Type an integer or a decimal. Do not round.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
1)
Suppose that E and F are two events and that P(E & F)=0.1and P(E)=0.5. What is P(F|E)?
(Type an integer or a decimal. Do not round.)
2)
Based on the given information, decide whether or not the two events in question are independent or whether it is not possible to tell.
P(B)=0.6 and P(B∣A)=0.5
Choose the correct answer below.
A.
The two events are independent because P(A & B)=P(B)•P(B∣A).
The two events are independent because of (B∣A)=P(B).
The two events are not independent because P(A & B)≠P(B)•P(B∣A).
The two events are not independent because P(B∣A)≠P(B).
It is not possible to tell if the two events are independent.
3)
Suppose that A, B, and C are independent events such that
P(A)=0.6, P(B)=0.7, and P(C)=0.3. Find P(A & B & C).
P(A & B & C)=?
(Type an integer or a decimal. Do not round.)Expert Solution
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