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Mutually Exclusive Events
Two events associated with a random experiment are said to be mutually exclusive, if both cannot occur together in the same trial. In the experiment of throwing a die, the events A = {1, 4} and B = {2, 5, 6} are mutually exclusive events. In the sa..
Two events associated with a random experiment are said to be mutually exclusive, if both cannot occur together in the same trial. In the experiment of throwing a die, the events A = {1, 4} and B = {2, 5, 6} are mutually exclusive events. In the sa..2) Mutualism
It is a positive interspecific interaction in which members of two different species favour the growth and survival each other and their association is obligatory. Both the partners are benefitted by this interaction and it is a short or life long association as a means of obtaining food by one or..
Summary
A, B and C are mutually exclusive then Total Probability: P(A) = P(E 1 ) P(A|E 1 ) + P(E 2 ) P(A|E 2 )+ +P(E n ) P(A|E n ) Random variable: A real valued function 'X' defined on t..
A, B and C are mutually exclusive then Total Probability: P(A) = P(E 1 ) P(A|E 1 ) + P(E 2 ) P(A|E 2 )+ +P(E n ) P(A|E n ) Random variable: A real valued function 'X' defined on t..Axiomatic Approach to Probability
Axiomatic approach to probability closely relates the theory of probability to set theory. Let S be the sample space of an experiment. Probability is a function, which associates a non-negative real number to every event A of the sample space denoted by ..
Axiomatic approach to probability closely relates the theory of probability to set theory. Let S be the sample space of an experiment. Probability is a function, which associates a non-negative real number to every event A of the sample space denoted by ..Baye's Theorem
Law of Total Probability: If B 1 , B 2 , B 3 , .., B n are mutually exclusive and exhaustive events of the sample space S, then for any event A of S. Baye's Theorem: Let S be a sample ..
Law of Total Probability: If B 1 , B 2 , B 3 , .., B n are mutually exclusive and exhaustive events of the sample space S, then for any event A of S. Baye's Theorem: Let S be a sample ..Theorem: (Law of Total Probability)
If B 1 , B 2 , B 3 , .., B n are mutually exclusive and exhaustive events of the sample space S, then for any event A of ..
If B 1 , B 2 , B 3 , .., B n are mutually exclusive and exhaustive events of the sample space S, then for any event A of ..Baye's Theorem
Let S be a sample space. If A 1 , A, A 3 ... A n are mutually exclusive and exhaustive events such that P(A i ) 0 for all i. Then for any event A which is a subset of We hav..
Let S be a sample space. If A 1 , A, A 3 ... A n are mutually exclusive and exhaustive events such that P(A i ) 0 for all i. Then for any event A which is a subset of We hav..Ionization in electrolytes
Strong electrolytes are almost completely dissociated / ionized into the constituent ions in aqueous solution. Even at higher concentrations, very small amount of any strong electrolyte is present in the unionized form. Weak electrolytes are however, partially ionized and a dynamic equil..
10.
A parallel capacitor of plate area 2m 2 and plate separation 5 mm is charged to 10,000 V in free space. Calculate (a) capacitance (b) Charge (c) Charge density (d) Field intensity (e) Field displacemen..
Componendo and Dividendo
If a:b=c:d then a+b:a-b::c+d:c-d. a:b=c:d a+b:b=c+d:d by componendo a-b:b=c-d:d by dividendo Dividing, ..
If a:b=c:d then a+b:a-b::c+d:c-d. a:b=c:d a+b:b=c+d:d by componendo a-b:b=c-d:d by dividendo Dividing, .. Result
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