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3,1
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Basic statistics and n

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Lecture_7 - New York University
Lecture_7 - New York University

... then at least one hole must contain two or more pigeons • A function from one finite set to a smaller finite set cannot be one-to-one • In a group of 13 people must there be at least two who have birthday in the same month? • A drawer contains 10 black and 10 white socks. How many socks need to be p ...
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... Chances are 50-50 that a newborn baby will be a girl. For families with five children, what is the probability that all the children are girls? Answer: Given that probability of success is 0.50 P(X = 5) = 0.031 from the binomial probability distribution table or using the binomial formula. 4) Which ...
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Lecture 1. Probabilities - Definitions, Examples and Basic Tools

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... • What is the probability that… – no two cards have the same rank? – you have a flush (all cards the same suit?) – you have a straight (5 cards in order of rank, e.g., 8, 9, 10, J, Q)? – you have a straight flush? – you have a full house (three cards have the same rank and the two other cards have t ...
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... 2. The Pythagorean Integer Triple Problem All numbers to be considered in this problem are positive integers. A Pythagorean Triple (PT) is an ordered set of three numbers (a,b,c) such that a2 +b2 = c2; e.g. (3,4,5) and (4,3,5) are each a PT but (5,3,4) is not a PT. . (a) Prove that if (a,b,c) is a P ...
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Birthday problem

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