19. Identify the false claim about conditional probabilities, given that P(E) > 0 and P(-E) > 0. All four claims seem valid on the first reading, but there is one impostor hiding among them. Which claim do you "sus" the most?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 30E: If A and B are events such that P(A)=0.5 and P(AB)=0.7, find P(B) when a. A and B are mutually...
icon
Related questions
Question

Need the right answer among choices and also an explanation of the answer.

19. Identify the false claim about conditional probabilities, given that P(E) > 0 and P(-E) > 0. All four
claims seem valid on the first reading, but there is one impostor hiding among them. Which claim do you
"sus" the most?
(a) If P(A| E) > P(A|¬E), then P(E | A) > P(-E | A).
(b) If P(A| E) > P(B|E) and P(A|¬E)> P(B|¬E), then P(A) > P(B).
(c) If P(4| E)< P(A), then P(4|¬E) > P(4).
(d) If P(A | E) = 0, then P(E | A) = 0.
%3D
Transcribed Image Text:19. Identify the false claim about conditional probabilities, given that P(E) > 0 and P(-E) > 0. All four claims seem valid on the first reading, but there is one impostor hiding among them. Which claim do you "sus" the most? (a) If P(A| E) > P(A|¬E), then P(E | A) > P(-E | A). (b) If P(A| E) > P(B|E) and P(A|¬E)> P(B|¬E), then P(A) > P(B). (c) If P(4| E)< P(A), then P(4|¬E) > P(4). (d) If P(A | E) = 0, then P(E | A) = 0. %3D
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,