Biology 2244A/B Chapter Notes - Chapter 4: Binomial Coefficient, Binomial Distribution, Random Variable

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"the normal approximation to binomial distributions" [this will be useful later] and 2. Section 12. 3 binomial probabilities: we can find a formula for the probability that a binomial random variable takes any value by adding probabilities for the different ways of getting exactly that many successes in n observations. Binomial coefficient: the number of ways of arranging k successes among n observations is given by the binomial coefficient. , for k=0, 1, 2, , n: the formula for binomial coefficients uses the factorial notation. For any (+) whole number n, its factorial n! = n (n 1) (n 2) 3 2 1: also 0! = 1: the larger of the two factorials in the denominator of a binomial coefficient will cancel much of the n! in the numerator. For example, the binomial coefficient we need for. Example 12. 4 is: the notation is not related to the fraction.

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