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Exam 2 (2) - MATH 2300 Formula sheet> Probability of an...

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Unformatted text preview: MATH 2300 - Formula sheet > Probability of an Event A, when all the possible outcomes are equally likely P( A) = number of outcomes in eventA ' number of outcomes in the sample space > Probability of Complement of an event A, P(A‘) = 1 —— P(A) > Probability of the Union of Two Events A and B, Addition Rule : P(A or B) = P(A) + P(B) — HA and B) > Probability of the intersection of two independent events, A and B, Multiplication Rule : P(A and B) = P(A) x P(B) > For events A and B, the conditional probability of event A, given that event B has occurred, is: PM and B) PM | B) = P(B) > The mean of a probability distribution for a discrete random variable is #1 = 2x - p(x) > The z-score for a value x of a random variable is the number of standard deviations that x falls from the mean .x—u Z— : ; u is the mean and a is the standard deviation O' Q). > The binomial probability distribution for n trials with probability p of success on each trial has mean u and standard deviation 0 given by: fl=np, 0=\/np(1-p) > Probabilities for a Binomial Distribution l P(X = x) = ——“'—— p"(1 — pr”, x = 0,1,2,...,n x!(n-x)! ...
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