We are asked to find the probability of event A occurring given that event B occurs. This is referred to as a conditional probability and is calculated as follows. P(An B) P(A | B) = P(B) The values P(B) = 0.70 and P(A n B) = 0.40 were given. Use these to find the probability that event A occurs given that event B occurs, P(A | B), to four decimal places. P(ANB) P(A | B) = P(B) = 0.40

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
(a) Find P(A | B).
We are asked to find the probability of event A occurring given that event B occurs. This is referred to as a conditional probability and is calculated as follows.
P(ANB)
P(B)
P(A | B) =
The values P(B) = 0.70 and P(AB) = 0.40 were given. Use these to find the probability that event A occurs given that event B occurs, P(A | B), to four decimal places.
P(An B)
P(A | B) =
P(B)
0.40
Transcribed Image Text:(a) Find P(A | B). We are asked to find the probability of event A occurring given that event B occurs. This is referred to as a conditional probability and is calculated as follows. P(ANB) P(B) P(A | B) = The values P(B) = 0.70 and P(AB) = 0.40 were given. Use these to find the probability that event A occurs given that event B occurs, P(A | B), to four decimal places. P(An B) P(A | B) = P(B) 0.40
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman