0
What else can I help you with?
The interval notation for the interval of real numbers?
There is more than one notation, but the open interval between a and b is often written (a,b) and the closed interval is written [a,b] where a and b are real numbers. Intervals may be half open or half closed as well such as [a,b) or (a,b]. For all real numbers, it is (-infinity,+infinity), bit use the infinity symbol instead (an 8 on its side).
Give the example of why probabilities of A given B and B given A are not same?
Let's try this example (best conceived of as a squared 2x2 table with sums to the side). The comma here is an AND logical operator. P(A, B) = 0.1 P(A, non-B) = 0.4 P(non-A, B) = 0.3 P(non-A, non-B) = 0.2 then P(A) and P(B) are obtained by summing on the different sides of the table: P(A) = P(A, B) + P(A, non-B) = 0.1 + 0.4 = 0.5 P(B) = P(A,B) + P(non-A, B) = 0.1 + 0.3 = 0.4 so P(A given B) = P (A, B) / P (B) = 0.1 / 0.4 = 0.25 also written P(A|B) P(B given A) = P (A,B) / P (A) = 0.1 / 0.5 = 0.2 The difference comes from the different negated events added to form the whole P(A) and P(B). If P(A, non-B) = P (B, non-A) then P(A) = P(B) and also P(A|B) = P(B|A).
What is the product rule and the sum rule of probability?
Sum Rule: P(A) = \sum_{B} P(A,B) Product Rule: P(A , B) = P(A) P(B|A) or P(A, B)=P(B) P(A|B) [P(A|B) means probability of A given that B has occurred] P(A, B) = P(A) P(B) , if A and B are independent events.
How do you find P A given B?
P(A|B)= P(A n B) / P(B) P(A n B) = probability of both A and B happening to check for independence you see if P(A|B) = P(B)
How do you find the probability of a given b?
Prob(A given B) = Prob(A and B)/Prob(B)
What has the author B B Sangadzhieva written?
B. B. Sangadzhieva has written: 'Dobrota'
What has the author B Shirnen written?
B. Shirnen has written: '\\'
What has the author B Major written?
B. Major has written: '\\'
What has the author Ioerg B written?
Ioerg B. has written: 'Ioerg B'
What has the author B B Cohen written?
B B. Cohen has written: 'Writing about literature'
What has the author B Gopaul written?
B. Gopaul has written: 'Anand'
What has the author B Aubertin written?
B. Aubertin has written: 'Aubertin'
What has the author B Jarvis written?
B. Jarvis has written: 'Agroforestry'
What has the author B Lifshits written?
B. Lifshits has written: 'Zhit!'
What has the author B Mobus written?
B. Mobus has written: 'Honeydew'
What has the author B Smoker written?
B. Smoker has written: 'Humanism'
What has the author B Fabritsky written?
B. Fabritsky has written: 'Khiva'
