Roberth Tampoa25.149.524

Num. Hipergeométrica Binomial

Poisson

4 N = 25 n = 21 λ = 8N1 = 8 p = 0,25

n = 6x = 4 x = 13 x = 6

P(X=x) P(X=x) P(X=x)

Hipergeometrica

P(X=x) = (N1Cx) (N-N1Cn-x) (NCn)-1 for x = max (0, n-N+N1), ... , min (n, N1)P(X = 4) = 0,053754940711Expectation = nN1/N = 1,92Variance = nN1(N - N1)(N - n) / [N2(N - 1)] = 1,0336Standard deviation = 1,016661202171

Binomial

P(X=x) = (nCx) px (1-p)n-x for x = 0,1, ..., nP(X = 13) = 0,000303566114Expectation = np = 5,25Variance = np(1 - p) = 3,9375Standard deviation = 1,984313483298Moment gener ating function M(t) = (1 - p + pet)n

Poisson

P(X=x) = e- x / x! for x = 0, 1, ....P(X = 6) = 0,050409406725Expectation = = 3Variance = = 3Standard deviation = 1,732050807569Moment generating function M(t) = exp[(et - 1)]