Central Limit Theorem
1. Let X be the mean of a random sample of size 12 from the uniform distribution on the interval (0, 1). Approximate P(1/2 < X < 2/3)
2. Let X be the mean of a random sample of size 36 from an exponential distribution with mean 3. Approximate P(2.5 < X < 4)
The first one I don't understand how to get the expectation and the variance.
The second one I have no idea because it's exponential.
Thanks for the help.
Lets attack this one at a time.
For the unifrom distribution on (a,b) in your case (0,1)
For 1) mean = sd =
What do you get?
Now what will you do for ?
I wonder how close to normality a sample of size 12 from a uniform would be.
The Berry-Esseen Theorem may help here.
In the second the mean equals the variance in an exponential.
And I'm wondering where that 1/3 came from.
Me to! Twas having a bad day?
Originally Posted by matheagle
na, just a typo
but I looked around to figure out what I was missing here