### Free Educational Resources

• > LET XN HAVE A GAMMA DISTRIBUTION WITH PARAMETERS ALPHA = N AND LAMBDA = 1. LET YN = XN/N
+

# LET XN HAVE A GAMMA DISTRIBUTION WITH PARAMETERS ALPHA = N AND LAMBDA = 1. LET YN = XN/N

##### Rating:
(0)
Author: Christine Farr
##### Description:

http://theperfecthomework.com/let-xn-have-a-gamma-distribution-with-parameters-alpha-n-and-lambda-1-let-yn-xn-n/

Let Xn have a gamma distribution with parameters alpha = n and lambda = 1. Let Yn = Xn/n(a) Find the limiting distribution of (sqrt n)(Yn - 1).Hint: Write Xn as the sum of n independent and identically distributed random variables b) Using the results in (a), how large need n be so that P(|Yn - 1| > 0.01) < 0.01?

(more)
##### Try a College Course Free

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to over 2,000 colleges and universities.*

No credit card required

26 Sophia partners guarantee credit transfer.

226 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 21 of Sophia’s online courses. More than 2,000 colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.

Tutorial