Biology 2244A/B Lecture Notes - Lecture 6: Binomial Distribution, Random Variable, Standard Deviation

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If 2 events are mutually exclusive then if one happens the other one can"t; not independent. If 2 events are not mutually exclusive then they may or may not be independent. A rv is a numerical outcome of a random phenomenon (i. e. , a quantitative random outcome) [random selection] The probability distribution of an rv x tells us what values x can take on and how to assign probabilities to those values. # of heads we would end up with flipping a coin 10 times. Continuous rv: theoretically be an infinite # of values. Ex. length of a randomly selected fish from a pop. A binomial rv (x) results from a procedure that meets all following req: Flip a coin 10 times and count # of heads. Success: coin flip showing heads --> p(success) = p = 0. 5. Failure: coin flip showing tails --> p(failure) = q = 1-p = 0. 5. Therefore yes it is a binomial distr.

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