Set operations and probabilities: Find the value of ?(?∪(??∪??)?) for each of the following cases:
The events ? , ? , ? are disjoint events and ?(?)=2/5 . ?(?∪(??∪??)?)= ??
The events ? and ? are disjoint, and ?(?)=1/2 and ?(?∩?)=1/4 . ?(?∪(??∪??)?)= ??
?(??∩(??∪??))=0.7 . ?(?∪(??∪??)?)= ??
Set operations and probabilities: Find the value of ?(?∪(??∪??)?) for each of the following cases: The...
Find P(A U (Be UC)9) in each of the following four cases: (a) A, B, and C are disjoint events and P(A) 1/2. (b) P(A)2P(BC)3P(ABC)-1/2 (c) P(A)1/2, P(BC) 1/3, and P(AC)0 (d) PA n (BC UC) 0.7
1. Find P(AU(B UC)) in each of the following four cases: (a) A, B, and C are disjoint events and P(A) 1/2. (b) P(A)-2P(BC)= 3P(ABC) =1/2 (c) P(A)1/2, P(BC) 1/3, and P(AC)0 d) P(An (Be UC))-0.7
2. Find the value of c that satisfies each of the following probabilities for a standard normal random variable 2: (a) p(z <c) = 0.975 (b) p(-c<z<c) = 0.95
2. Consider the following pseudocode for a disjoint-set implementation: Make-Set Cx) rank ) 0 Find-Set(x) return Find-Set (pLx) return LinkCx, y if rank]rank[y] else if rankx)rank y) rank[y]ran[y]1 Union (,y) Link (Find-Set (x), Find-Set(y)) Show the data structure that results and the answers returned by the Find-Set operations in the following program for i ? 1 to 16 Make-Set() for i ? 1 to 15 by 2 Union, ) for i1 to 13 by 4 UnionC, 2) UnionCi xs) Union(x11,...
In a binomial distribution, n = 5 and π=0.32π=0.32 . Find the probabilities of the following events. (Round your answers to 4 decimal places.) a. x=2x=2
Find the value 2* that satisfies each of the following probabilities for a standard normal random variable Z. (Round your answers to two decimal places.) (a) P(Z sz*) - 0.0485 (b) PIZ sz*) = 0.9515 (c) P(-x* SZ SZ") - 0.903
A) For the following scores, find the value of each expression: X 3 5 O 2 1. Σx 2. Σx2 3. ΣΧ+1 4. Σ (Χ+1) B. For the following set of scores, find the value of each expression: X 3 2. 5 1 3 1. x2 2. (2x) 3. (X-1) 4. (x-1)2 C) For the following set of scores, find the value of each expression: X 6 -2 0 -3 -1 1. Ex 2. x2 3. (X+3) D) For the...
1. (10 pts) Consider two events, A and B, for which we have the following probabilities. P(A)=0.5 P(B) = 0.2 P(AB) 0.7 A. Find the probability P( AB) B. Find the probability P(AUB)
9. For the following set of scores, find the value of each expresion: b. (EX)2 c. Σ(X-1) d. Σ(X-1)2 9. For the following set of scores, find the value of each expresion: a.Σ b. (EX)2 c. Σ(X-1) d. Σ(x-1)?
In a binomial distribution, n=7 and pi=.25. Find the probabilities on the following events (round to 4 decimal places) 1. x=4 2. x is less than or equal to 3 3. x is greater than or equal to 4