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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

MATLAB: An Introduction with Applications
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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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
Expert Solution
Step 1

Given

P(A1)=0.30, P(A2)=0.70, P(A1 and A2)=0 

P(B/A1)=0.15, P(B/A2)=0.05 

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