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P( X)=M / M+N ; P(not z)= 1-P(Z) P( T/X)=B/M; P(X/T) = B/ B+D “Care e Pr. Sa extragem x daca am extras numai din categoria t?” P( X and T )=(M/N+M) *( B/M) P(X and Y)= (M/M+N) * (N/ M+N) P( X or T )=(M/M+N) +( B+D/M+N) - P(X and T) P(X or Y) =(M/M+N) + (N/ M+N) - P( X and Y)

P(A) = # times A observed/ Total # outcomes (N). A tree diagram -no. of outcomes of events and the sample space. 1) 2) 3) 4)

X Y

Z A C A+C

T B D A+D

A+B=M C+D=N M+N

Folosim N=n*m =>goes back into the pool. Avem m ways of doing A and n ways of doing B. How many possibilities? Folosim N=n! if the outcome after is chose does not go back into the pool.In how many ways we can arrange x things? X! Daca trebuie ...view middle of the document...

To find the following probabilities using the cumulative binomial table: P(X < k) = P(X ≤ k); P(X = k) = P(X ≤ k) – P(X ≤ (k–1)); P(X ≥ k) = 1 – P(X ≤ (k–1)); P(X < k) = P(X ≤ k-1) (Tabel Cumulative binomial distribution- Discrete Binomial) If n> 25 folosim normal distribution dar la pasul 2 inlocuim z = [(x + .5)-u] / o 4)POISON DISTRIBUTION: e.g: E.g. On average, 96 trucks arrive at a bordercrossing every hour The number of typographic errors in a new textbook average 1.5 per 100 pages. “average … per …. / mean of …. per ….” P(x) =( e-u*ux) / x!; u= mean# of successes in an interval(λ); e= 2.72 (Discrete Poisson)

P(X≤n) = P(0) + P(1) + … + P(n) sau Poisson table X, λ => there is about a ….% chance there are x or less….

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Mode= frecventa maxima; Range= Largest value – Smallest value. Variance: 1)Mean 2) Fiecare valoare – Mean = Q 3) Q2 4) Sum Q2 5) Sum Q2 / N (Population)=o2 sau Sum Q2/n-1 (sample) = S2. Standard deviation = scquare root din variance (o-population,S sample) .Interpretare:Approximately .. % of observations will fall...

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