Question: help with statistic problem??? any one know?

( Back )

Answer #1:

Here n = 8 obviously as the sample contains 8 points,
p = 0.57 and q = 1 - 0.57

here, x can take any values between 0 and 8 as the success in this case is "vacations are influenced by children". hence there can be 0 to 8 families.

probability to each sample point is given by: C(8, x)q^x.p^(8 - x) as random variable follows the binomial distribution.

Answer #2:

This is a question on Binomial distribution.
n= 8 (number of families)
p=1/2 or 0.5 (probability that a family's vacation is influenced by its children
q=1-p = 1-0.5 = 0.5

To list the values, you have to compute f(x) = nCx p^x (1-p)^(n-x)
for x=0,1,2,3,4,5,6,7,8
with n=8, p=0.5
nCx = number of combination of x things out of n things
You may use a Binomial table and read off the values
Look under n=8 and p=0.5 (see the link)

Binomial probability table
n = 8 p = 0.5
First column : P( x = k)
Second column : P( x >= k)
Third column : P( x <= k)
----x----p(x)
0 0.003906
1 0.031250
2 0.109375
3 0.218750
4 0.273438
5 0.218750
6 0.109375
7 0.031250
8 0.003906





** Powered by Yahoo Answers