The prior probabilities for two events A1 and A2 are P(A1) = .30 and P(A2) = .70. It is also known that P(A1 and A2) = 0. Suppose P(B / A1) = .15 and P(B / A2) = .05. Q 1 Question 1 Compute P(A1 and B). Select one: a. 0.035 b. 0.045 c. 0.932 d. 0.09 Q 2 Question 2 Compute P(A2 and B). Select one: a. 0.5673 b. 0.035 c. 0.0453 d. 0784 Q 3 Question 3 Compute P(B) that is {[P(B / A1)* P(A1)] + [P(B / A2)* P(A2)]}. Select one: a. 0.45 b. 0.06 c. 0.14 d. 0.08 Q 4
The prior probabilities for two events A1 and A2 are P(A1) = .30 and P(A2) = .70. It is also known that P(A1 and A2) = 0. Suppose P(B / A1) = .15 and P(B / A2) = .05. Q 1 Question 1 Compute P(A1 and B). Select one: a. 0.035 b. 0.045 c. 0.932 d. 0.09 Q 2 Question 2 Compute P(A2 and B). Select one: a. 0.5673 b. 0.035 c. 0.0453 d. 0784 Q 3 Question 3 Compute P(B) that is {[P(B / A1)* P(A1)] + [P(B / A2)* P(A2)]}. Select one: a. 0.45 b. 0.06 c. 0.14 d. 0.08 Q 4
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Question
The prior probabilities for two events A1 and A2 are P(A1) = .30 and P(A2) = .70. It is also known that P(A1 and A2) = 0. Suppose P(B / A1) = .15 and P(B / A2) = .05.
Q 1
Question 1
Compute P(A1 and B).
Select one:
a. 0.035
b. 0.045
c. 0.932
d. 0.09
Q 2
Question 2
Compute P(A2 and B).
Select one:
a. 0.5673
b. 0.035
c. 0.0453
d. 0784
Q 3
Question 3
Compute P(B) that is {[P(B / A1)* P(A1)] + [P(B / A2)* P(A2)]}.
Select one:
a. 0.45
b. 0.06
c. 0.14
d. 0.08
Q 4
Question 4
Apply Bayes' theorem to compute the posterior probability P(A1 / B).
Select one:
a. 0.5625
b. 0.4325
c. 0.8943
d. 0.3217
Q 5
Question 5
Apply Bayes' theorem to compute the posterior probability P(A2 / B).
Select one:
a. 0.4389
b. 0.4375
c. 0.5488
d. 0.5411
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