Problem 1. Justify your answers to the following. (a) Let A, B, C be independent events....
statistics, help me please q19 19/ 20 Let A, B be independent events. If P(A) = 0.4 and P(B) = 0.7, then P(AUB) equals A)0.12 B)0.18 C)0.88 D)O.82 E) 0.72 19/ 20 Let A, B be independent events. If P(A) = 0.4 and P(B) = 0.7, then P(AUB) equals A)0.12 B)0.18 C)0.88 D)O.82 E) 0.72
Given events A and B, (a) let C be the event that A will occur and B will not occur. Express C in terms of A and B. Let D be the event that B will occur and A will not occur. Express D in terms of A and B. (b) let E be the event that exactly one of the events A or B will occur. Express E in terms of A and B. (c) Use the result in...
2. Given events A and B (a) let C be the event that A will occur and B will not occur. Express C in terms of A and B. Let D be the event that B will occur and A wil not occur. Express D in terms of A and B (b) let E be the event that exactly one of the events A or B will occur. Express E in terms (c) Use the result in (a) to find...
1 1 Let A and B be independent events with P(A) = 3 and P(B) = 3 : Find P(A n B) and P(AUB).
1 Let A and B be independent events with P(A) and P(B) = FICE Find P(ANB) and P(AUB). 8 P(ANB) = P(AUB) =
for part (c) , please use part (a) 2. Given events A and B (a) let C be the event that A will occur and B will not occur. Express C in terms of A and B. Let D be the event that B will occur and A wil not occur. Express D in terms of A and B (b) let E be the event that exactly one of the events A or B will occur. Express E in terms...
Let and B be events in a sample space S, and let C = S - (AUB). Suppose P(A) = 0.8, P(B) = 0.2, and P(An B) = 0.1. Find each of the following. (a) P(AUB) (b) P(C) (c) PAS (d) PLAC BC) (e) PLACUBS (1) P(BCnc)
Consider an experiment with sample space S and events A,B,C, and D with the following probabl ities: P(AUB)-, P(A)- , P(Cn D) , PC)- . Furthermore, A and B are mutually exclusive (i.e. AnB-), while C and D are independent (i.e. P(CND) P(C)P(D)). Note: I know this looks like a lot of parts, but these are all short, quick answers!) ' (a) Find P(AnB (b) Find P(B) (c) Find P(A กั Bc). (d) Find P(AUBe) (e) Are A and B...
Let A and B be two events such that P (A) = 0.68 and P(B) = 0.01. Do not round your responses. (If necessary, consult a list of formulas.) (a) Determine P (AUB), given that A and B are independent. U (b) Determine P (AUB), given that A and B are mutually exclusive. X 5 ?
In a sample space, events A and B are independent, events B and C are mutually exclusive, and A and C are independent. a) Show that P(AUB) = P(B) + P(A)P(B') = P(A) + P(A')P(B) b) If P(AUBUC) = 0.9, P(B) = 0.5 and P(C) = 0.3 find P(A).