ENGR 371 Final: Final Crib Sheet

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The number of permutations of n distinct objects taken r objects at a time: n. The number of permutations of n objects of which n1 are of one kind, n2 are of second kind, . nk are of kth kind: n n . , where a and b are two events. P b: conditional probability & bayes theorem: Total probability: the sample space s constitutes a partitions of b1, b2 and b3, the probability of any event a of s, where a is overlapped with parts of b1, b2 and b3, 3: bayes theorem: the sample space s constitutes a partitions of b1, b2 and b3, then for any event a of, mean of a random variable x: E x all xf x dx for a continuous random variable, where f(x) is probability density function: mean of a random function g(x): E g x xall g x f x for a discrete random variable x,