bayes' theorem and its application


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Bayes Theorem, Binomial and Poisson Distributions
Introduction - Suppose the two events are not independent, that is the occurrence of one depends on the occurrence of other, then how do we compute This can be explained by conditional probability. Baye's theorem is named after the British mathematician Thomas Bayes wh..
Baye's Theorem
In the previous section, we have learnt that i) If A and B are two mutually exclusive events, then ii) Before we state and prove Baye's Theorem, we use the above two rules to state the law of total probability. The law of total probability is useful in proving Baye's h..
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..
Pythagorean Theorem is applicable for _____.
Pythagorean Theorem is applicable for _____. => obtuse triangles only or any triangle or right triangles only or None of the above..
Application of Gauss' Theorem
infinitely long straight charged wire Application of Gauss' Theorem - Gauss' theorem can be used to calculate the electric intensity due to an infinitely long straight charged wire a uniformly charged infinite plane sheet a uniformly charged thin spherical she..
Applications of Binomial Theorem
Some Applications of Binomial Theorem for Fractional Index - If x be numerically so small that its cube and higher powers may be x 3 , x 4 , x 5 , . are all approximately zero. If x be numerically so small that its square and higher powers may be neglected, then (1+x) n = 1+nx (..
Application of Gauss' Theorem
infinitely long straight charged wire Gauss' theorem can be used to calculate the electric intensity due to an infinitely long straight charged wire a uniformly charged infinite plane sheet a uniformly charged thin spherical she..
Some Applications of Binomial Theorem for Fractional Index
If x be numerically so small that its cube and higher powers may be x 3 , x 4 , x 5 , . are all approximately zero. If x be numerically so small that its square and higher powers may be neglected, then (1+x) n = 1+nx (approximately), because x 2 , x 3 , x 4 ,. are all approximately zero..
Pythagorean theorem is applicable for ________.
Pythagorean theorem is applicable for ________. => obtuse triangles only or any triangle or right triangles only or None of the above..
Some Applications of Binomial Theorem for Positive Integral Index
n C 0 , n C 1 , ..... n C n are called binomial coefficients. n C 0 , n C 2 n C 4 , ..... are called even binomial coefficients. n C 1 , n C 3 , n C 5 .... are called odd binomial coefficients. In case of no ambiguity, the binomial coefficients n C 0 , n C 1 , ..... n C n ..
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