Monday

April 20, 2015

April 20, 2015

Posted by **Chelsea** on Tuesday, December 14, 2010 at 3:28am.

0,0,0,0,1,1,1,1,1,1

If a sample size of 6 was taken at random with replacement, what is the probability that the sample mean is 4/6?

- Statistics -
**TutorCat**, Tuesday, December 14, 2010 at 4:10pmIn order to get a mean of 4/6, you would need to pick four 1's and two 0's. The probability of picking a 1 (with replacement) is 6/10 each time and probability of picking a 0 (with replacement) is 4/10. So,

(6/10)*(6/10)*(6/10)*(6/10)*(4/10)*(4/10)

However, you can pick the four 1's and two 0's in any order. So, you perform

binomial expansion

N!/[K!(N-K)!]= number of possible ways that K individuals can be selected from N

10!/[4!(10-4)!]

Finally, take the product.

10!/[4!(10-4)!]*(6/10)*(6/10)*(6/10)*(6/10)*(4/10)*(4/10)=?

statistics - The scores of students on the ACT college entrance examination in ...

business statistics - A random sample of size 15 taken from a normally ...

Statistics - he Oil Price Information Center reports the mean price per gallon ...

statistics - A random sample of size 81 is taken from a large population, ...

statistics - 1. A random sample of size 49 is taken from a large population, ...

Statistics - 1. The scores of students on the ACT college entrance examination ...

statistics - A simple random sample of 60 items resulted in a sample mean of 80...

math statistics - The average price of a gallon of unleaded regular gasoline was...

math statistics - please help me I've waited for hours The average price of a ...

Statistics/Probability - The standard deviation of the masses of articles in a ...