The prior probabilities for events A_1 and A_2 are P(A_1) =.40 and P(A_2) =.60. It is...
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 |...
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).
Video The prior probabilities for events A 1 and A 2 are PCA 1) = .50 and P(A2) = .50. It is also known that PCA 1 n A 2) = 0. Suppose P(BIA 1) = 20 and P(BA 2) = .02. a. Are events A 1 and A 2 mutually exclusive? Select b. Compute P(A i NB) (to 4 decimals). Compute P(A 2 NB) (to 4 decimals). C. Compute P(B) (to 4 decimals). d. Apply Bayes' theorem to compute...
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. 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...
A1) = 0.20 and P( B AZ) = 0.05. If The prior probabilities for events A1 and Az are P(A1) = 0.35 and P(A2) = 0.60. It is also known that P(Ain Az) = 0. Suppose P( B needed, round your answers to three decimal digits. (a) Are A1 and Az mutually exclusive? Yes Explain your answer. The input in the box below will not be graded, but may be reviewed and considered by your instructor. blank (b) Compute P(Ain...
31. Assume that we have two events, A and B. that are mutually exclusive. Assume further that we know P(A) 30 and P(B) a. What is P(A n B)? b. What is P(A I B)? c. 40. A student in statistics argues that the concepts of mutually exclusive events and inde- pendent events are really the same, and that if events are mutually exclusive they must be independent. Do you agree with this statement? Use the probability information in this...
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)
Consider two events A and B whose probabilities are known. It is known that the two events are not mutually exclusive and not independent. Which of the following calculations could be used to compute P(A ∩ Bc)? P(A ∩ Bc) = P(A) + P(Bc) P(A ∩ Bc) = P(A) • P(Bc) P(A ∩ Bc) = 1- P(A ∩ B) P(A ∩ Bc) = P(A) - P(A ∩ B)
0 en the events A and B above, find the following probabilities P[ not (A or B)) P(A or B)- P(A and not B) P(A or B but not both) Are events A and B independent (why P(B and not A)- P( not A) or why not) Are events A and B mutually exclusive (why or why not) GRB 4/4/2019 Math 121 HW 6- Probability Rules