Question 4 Suppose that P(BA) = and that P(B|A2 , where A1 and Az are two equally likely events forming a partition of S. Calculate P (A, B)? O a. 1
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...
Question 1 [12 + 4 =16 marks] A. Let A and B be two events such that P( A) 0.6 , P(B) 0.4 and P( A B) 0.10. Calculate P( A B). Calculate P( A | B). iii. Are events A and B independent? Justify your answer. iv. Are events A and B mutually exclusive events? Justify your answer. (2 + 2 + 3 + 3 = 10 marks) B. A box contains 20 DVDs,...
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Let A1, A2, ... be a infinitely countable collection of events, then P lim P (UA m+00 i=1
Tesponse. Question 6 Let A and B be two events, such that P(A)=0.6, P(B)=0.4 and P((not A) and (not B))=0.2. (6 Please give your answer as simplified fraction or decimal number (e.g. 3/4 or 0.75) a) Find P(A or B)= 0.76 b) Find P((not A) and (B))= || I c) Find P( AB)=
Moving to the next question prevents changes to this answer. Question 3 of: Question 3 1 points S Marketers strive to position products so they appear associated with positive traits. In so doing, they also try to counteract any belliefs or perceptions that interfere with the products' ability to attract buyers. This is because advertisers realize that attitudes and beliefs are an important part of the cultural influences that surround a purchasing decision. True OFalse Moving to the next question...
Let A1, A2, ...An Prove : P(Un k=1 Ak) = P9A1) + P(A1c
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Problem 4.Let A1, A2, . . . , An be events. Prove
2. a) Let A and B be two events such that P(A) 4, P(B) .5 and P(AnB) 3 Find P(AUB). b) Let A and B be two events such that P(A)-5, P(B) 3 and P(AUB) .6. Find P(An B)
3. Let (12, F,P) be a probability space, and A1, A2, ... be an increasing sequence of events; that is, A1 CA2 C.... Using only the Kolmogorov axioms, prove that P is continuous from belour: lim P(An) = P(U=1 An). Hint: Work with a new sequence of events By := A and B := An An-1. n+00 [1]
Let A and B be events with probabilities P(A)-3/4 and P(B)-1/3 (a) Show that 12 3' (b) Let P(AnB) - find PA n Bc).