Solution Found!
Refer to Exercise 3.115. Find ?, the expected value of Y,
Chapter 3, Problem 190SE(choose chapter or problem)
Refer to Exercise 3.115. Find , the expected value of Y , for the theoretical population by using the probability distribution obtained in Exercise 3.115. Find the sample mean for the = 100 measurements generated in Exercise 3.116. Does \(\bar{y}\) provide a good estimate of \(\mu)?
Equation transcription:
Text transcription:
bar{y}
mu
Questions & Answers
QUESTION:
Refer to Exercise 3.115. Find , the expected value of Y , for the theoretical population by using the probability distribution obtained in Exercise 3.115. Find the sample mean for the = 100 measurements generated in Exercise 3.116. Does \(\bar{y}\) provide a good estimate of \(\mu)?
Equation transcription:
Text transcription:
bar{y}
mu
ANSWER:
Solution
Step 1 of 2
We have to find and we have to prove that weather provides a good estimate of
The pmf of hyper geometric distribution is
Here N=population size=6
n=sample size=3
r=no.of success=2
Then
Now =E(Y)
=
=0(0.2)+1(0.6)+2(0.2)
=1