estadistica 2

1. 2016
RoberthTampoa
25.149.524
[RESULTADOS PQRS]
Tema Piloto

2. Num.
Hipergeométrica
4 N = 25
N1 = 8
n = 6
x = 4
P(X=x)
P(X=x) = (N1Cx) (N-N1Cn-x) (NCn)-1
for x = max (0, n-N+N1), ... , min (n, N1)
P(X = 4) = 0,053754940711
Expectation = nN1/N = 1,92
Variance = nN1(N - N1)(N - n) / [N2
(N - 1)] = 1,0336
Standard deviation = 1,016661202171
Has applications in finite population sampling: if N1 out of N objects have a certain
property and n objects are sampled without replacement, the number of sampled
objects with the property has a hypergeometric distribution

3. Num.
Binomial
4 n = 21
p = 0,25
x = 13
P(X=x)
P(X=x) = (nCx) px
(1-p)n-x
for x = 0,1, ..., n
P(X = 13) = 0,000303566114
Expectation = np = 5,25
Variance = np(1 - p) = 3,9375
Standard deviation = 1,984313483298
Moment generating function M(t) = (1 - p + pet
)n
The distribution of the total number of successes in a series of n independent Bernoulli
trials

4. Num.
Poisson
4 λ = 8
x = 6
P(X=x)
P(X=x) = e- x
/ x! for x = 0, 1, ....
P(X = 6) = 0,122138215463
Standard deviation = 2,828427124746
Moment t
- 1)]
Used in modeling the number of occurrences of an event in a given time interval