# Problem 2; chapter 8; # 46 Find the sampling distributions of Y1 and Yfor random samples of size n from a continuous uniform population with a =and B 110Problem 3; chapter 8; # 48 Find the mean and the variance of the sam-pling distribution of Y1 for random samples of size n from problem 2 (previousproblem) 22adtY isdf of frst order stahishic-1गरी- पु) ।Ondara otheruisefyy)910दवThe pdf ofE the maximam order stahshcThe taeistmn- na= नगजकगो ।-५oJतहसी दि 0।yफी)ण21 63 atboAYa isorder stanshcpdf of the nth1-1एालि)युलो 3प. S/-otherwiseYnnim1

Question
27 views

distributions of both Y1 and Yn are uniform and continuous

check_circle

Step 1

We know that first order statistic PDF is given by fy1(y1) as shown below.

Mean or Expected value can be calculated using the intergral function used for continuous random variables (also shown below)

Step 2

This integration can be performed using integration by parts method as shown below.

Step 3

Mean is given as...

### Want to see the full answer?

See Solution

#### Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in