According to government data the probability that an adult was never married is 15%. In a random survey of ten - adult random strabismus
According to the government is the probability that an adult has never married, is 15%. In a sample of 10 adults, how high the probability that two or fewer never married?
Saturday, February 20, 2010
Adult Random Strabismus According To Government Data The Probability That An Adult Was Never Married Is 15%. In A Random Survey Of Ten
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X is the number of adults who have been the never married. X has the binomial distribution with n = 10 trials and success probability p = 0.15
In general, if X then with n trials and probability p for success, binomial
P [X = x] = n! / (X! (NX)!) * P ^ x * (1-p) ^ (NX)
For values of x = 0, 1, 2, ..., n
P [X = x] = 0 for all values of x.
The mass function of the probability by the number of combinations of objects selected objects will then XnY a complete success and xn - x failures.
Or in other words, the binomial distribution, the sum of n independent and identically distributed Bernoulli trials.
X ~ Binomial (n = 10, p = 0.15)
the average of the binomial distribution is n * p = 1.5
VariationNE of the binomial distribution is n * p * (1 - p) = 1275
Deviation is the square root of the variance = √ (n * p * (1 - p)) = 1.129159
The weight of the probability of PMF,
f (x) = P (X = x):
P (X = 0) = 0.1968744
P (X = 1) = 0.3474254
P (X = 2) = 0.2758967
P (X = 3) = 0.1298337
P (X = 4) = 0.04009571
P (X = 5) = 0.008490856
P (X = 6) = 0.001248655
P (X = 7) = 0.0001259148
P (X = 8) = 8.332598e-06
P (X = 9) = 3.267686e-07
P (X = 10) = 5.766504e-09
P (X ≤ 2)
= P (X = 0) + P (X = 1) + P (X = 2)
= 0.8201965
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