Given these probabilities, complete the contingency table, and compute the following probabilities: a) P(A2 and B1)...

Question

Question

Given these probabilities, complete the contingency table, and compute the following probabilities:

a) P(A2 and B1)

b) P(A1 | B1)

c) P(B2 | A2)

d) P(B2 or A1)

A1 A2 Total B1 0.56 B2 Total 0.46

Answer 1

Answer #1

2 6 1. 声1 BI 1) D.다

Answer 2

Similar Homework Help Questions

(a) Let P(B1∩B2)>0, and A1∪A2⊂B1∩B2. Then show that P(A1|B1).P(A2|B2)=P(A1|B2).P(A2|B1). (b) Let A and B1 be independent;...

(a) Let P(B1∩B2)>0, and A1∪A2⊂B1∩B2. Then show that P(A1|B1).P(A2|B2)=P(A1|B2).P(A2|B1). (b) Let A and B1 be independent; similarly, let A and B2 be independent. Show that in this case, A and B1∪B2 are independent if and only if A and B1∩B2 are independent. (c) Given P(A) = 0.42,P(B) = 0.25, and P(A∩B) = 0.17, find (i)P(A∪B) ; (ii)P(A∩Bc) ; (iii)P(Ac∩Bc) ; (iv)P(Ac|Bc).
The joint probabilities shown in a table with two rows, A1and A2 and two columns, B1and...

The joint probabilities shown in a table with two rows, A1and A2 and two columns, B1and B2, are as follows: P(A1 and B1) = .10, P(A1 and B2) = .30, P(A2 and B1) = .05, and P(A2 and B2) = .55. Then P(A1|B2), calculated up to two decimals, is:
given the following joint probability table A1 A2 B1 .02 .01 B2 .05 .02 Calculate the...

given the following joint probability table A1 A2 B1 .02 .01 B2 .05 .02 Calculate the conditional probability P(A1IB1) round your answer

2. Using the below table: A A2 0.3 В В 0.4 0.2 0.1 08 a. Compute...

2. Using the below table: A A2 0.3 В В 0.4 0.2 0.1 08 a. Compute P(A; or B1). b. Compute P(A) or B2) c. Calculate the marginal probabilities from the following table of joint probabilities. d. Detemine P(A | B1). e. Determine P(A2 B1). f. Did your answers to parts (a) and (b) sum to 1? Is this a coincidence? Explain. g. Calculate P(A; | B2) h. Calculate P(A2| B1). i. Are the events independent? Explain. bivong slde glT8...
The prior probabilities for events A1 and A2 are P(A1) = 0.45 and P(A2) = 0.50....

The prior probabilities for events A1 and A2 are P(A1) = 0.45 and P(A2) = 0.50. It is also known that P(A1 ∩ A2) = 0. Suppose P(B | A1) = 0.20 and P(B | A2) = 0.05. If needed, round your answers to three decimal digits. a) Are A1 and A2 mutually exclusive? b) Compute P(A1 ∩ B) and P(A2 ∩ B). c) Compute P(B). d) Apply Bayes’ theorem to compute P(A1 | B) and P(A2 | B).
The prior probabilities for events A1 and A2 are P(A1) = 0.30 and P(A2) = 0.40....

The prior probabilities for events A1 and A2 are P(A1) = 0.30 and P(A2) = 0.40. It is also known that P(A1 ∩ A2) = 0. Suppose P(B | A1) = 0.20 and P(B | A2) = 0.05. If needed, round your answers to three decimal digits. (a) Are A1 and A2 mutually exclusive? Explain your answer. The input in the box below will not be graded, but may be reviewed and considered by your instructor. (b) Compute P(A1 ∩...

The prior probabilities for events A1 and A2 are P(A1) = 0.40 and P(A2) = 0.45....

The prior probabilities for events A1 and A2 are P(A1) = 0.40 and P(A2) = 0.45. It is also known that P(A1 ∩ A2) = 0. Suppose P(B | A1) = 0.20 and P(B | A2) = 0.05. If needed, round your answers to three decimal digits. (a) Are A1 and A2 mutually exclusive? - Select your answer -YesNoItem 1 Explain your answer. The input in the box below will not be graded, but may be reviewed and considered by...
The prior probabilities for events A1 and A2 are P(A1) = .50 and P(A2) = .50....

The prior probabilities for events A1 and A2 are P(A1) = .50 and P(A2) = .50. It is also known that P(A1 A2) = 0. Suppose P(B | A1) = .10 and P(B | A2) = .04. Are events A1 and A2 mutually exclusive? Compute P(A1 B) (to 4 decimals). Compute P(A2 B) (to 4 decimals). Compute P(B) (to 4 decimals). Apply Bayes' theorem to compute P(A1 | B) (to 4 decimals). Also apply Bayes' theorem to compute P(A2 |...
For given list of members in a universal set U. Members A B 1 &

For given list of members in a universal set U. Members A B 1 a1 b1 2 a2 b1 3 a3 b2 4 a1 b2 5 a1 b2 6 a2 b1 7 a3 b1 8 a1 b2 9 a1 b2 10 a3 b2 Write Probability distribution table for (a) P(A, B) (b) P(A) (c) P(B) (d) P(A|B=b1)

6) (10 points) The prior probabilities for events A1 and A2 are P(A1) = 0.40 and...

6) (10 points) The prior probabilities for events A1 and A2 are P(A1) = 0.40 and P(A2) = 0.60. It is also known that P(A1 or A2) = 1. Suppose P(BA1) = 20 and P(B|A2) =0.05. a. Are A1 and A2 mutually exclusive? Explain. (2 point) b. What is the probability that A1 does not occur? (2 point) C. Compute P(A2 and B) if A1 and B are independent (3 points) d. Compute P(A1 and B) (3 points)