The binomial distribution is an important discrete distribution. It gives the probability of the number of "successes," in a sequence of n independent binary trials. This applet allows users to drag ...

Values of p (times 10,000) satisfying the equation $\alpha = \sum^x_{r = 0} \binom{n}{r} p^r(1 - p)^{n - r}$ are given to four figures for n = 55(5)100, x = 0(1)n - 1 and α = .005, .010, .025, .050.

The order statistics of independent random variables each having the same negative binomial distribution are discussed. Recurrence relations for probability generating functions and moments of the ...

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