Suppose that we have two events, A and B, with P(A)= 0.50, P(B)=0.60, and
P(A ∩ B) = .40
a. Find P(A | B) (to 4 decimals).
b. Find P(B | A) (to 4 decimals).
c. Are A and B independent? Why or why not?
Suppose that we have two events, A and B, with P(A)= 0.50, P(B)=0.60, and P(A ∩...
Suppose that we have two events, A and B, with P(A) = 0.50, P(B) = 0.60, and P(A ∩ B) = 0.05. If needed, round your answer to three decimal digits. (a) Find P(A | B). (b) Find P(B | A). (c) Are A and B independent? Why or why not? A and B _____ independent, because _____ P(A).
Suppose that we have two events, A and B, with P(A) .50, P(B) .50, and PA n B).40 a. Find P(A B) (to 4 decimals) b. Find P(B | A) (to 4 decimals). c. Are A and B independent? Why or why not? Select 3 because P(A | B) is SelectP(A)
Suppose that we have two events, A and B, with P(A) = 0.40, P(B) = 0.70, and P(A ∩ B) = 0.20. (a) Find P(A | B). (b) Find P(B | A). (c) Are A and B independent? Why or why not?
Suppose that A and B are independent events such that P(A) 0.70 and P(B) 0.60. Find P(An B) and P(AUB). (If necessary, consult a list of formulas.) Clear Undo Prev. Question Next Question
Suppose P(A) = 0.30, P(B) = 0.50, and P(B|A) = 0.60. a. Find P(A and B). (5 points) b. Find P(A or B). (5 points) C. Find P(AB). (5 points) SO
Suppose we have two events A and B. Suppose further that P(A) - 0.1, PB)-0.2, and P(AUB) = 0.3. a. [2 marks] Calculate P(A NB) b. [2 marks] Use the mathematical definition of independence to determine if A and B are independent. Conclude in a single sentence. Use only one of the two appropriate c. [2 marks] Use the mathematical definition of mutual exclusivity to determine if A and Bare mutually exclusive. Conclude in a single sentence. MacBook Air #58...
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...
Suppose that A and B are independent events such that P (A) = 0.40 and P(B) = 0.60. Find P(An B) and P(AUB). (If necessary, consult a list of formulas.) (2) P(AnB) = 1 (b) P(AUB) Х 5 ?
15. If A and B are independent events with P(A) = 0.20 and P(B) =0.50, then P(BA) is: a. 0.20 b. 0.50 c. 0.10 d. 0.70 e. 1.00
Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A)= 0.30 and P(B)= 0.40. Assume that we have two events, A and Br that are mutually exclusive. Assume further that we know P(A) 0.30 and PCB 0.40 If an amount is zero, enter "0". a. What is P(An B)? b. what is p(AIB? C. Is AIB) equal to A)? Are events A and B dependent or independent? d. A student in...