Probability and Statistics question please help
Let $X_1,X_2,...,X_n$ be a random sample with $E(X_k) = 1.5$ and $Var(X_k) = 9$. Another random sample $Y_1,Y_2,...,Y_n$ is selected, independent of the previous sample. The new sample has $E(Y_k) = 2$ and $Var(Y_k) = 4$. Both samples have sample size $n = 100$.
c) Find the value $\delta> 0$ such that: $P(| \hat{Y} − \hat{X}|< \delta) =0.95.$
d) Find the minimum value $n$ such that $P(| \hat{Y} − \hat{X}|< 0.1) ≤0.95.$

179
Answer
Answers can only be viewed under the following conditions:
- The questioner was satisfied with and accepted the answer, or
- The answer was evaluated as being 100% correct by the judge.
1 Attachment
3.6K
The answer is accepted.
Join Matchmaticians Affiliate Marketing
Program to earn up to a 50% commission on every question that your affiliated users ask or answer.
- answered
- 852 views
- $15.00
Related Questions
- What is the normal probability distribution function?
- How do I compare categorical data with multiple uneven populations?
- Confidence Interval,Standard Deviation,Mean
- One Way Anova
- Five married couples are seated around a table at random. Let $X$ be the number of wives who sit next to their husbands. What is the expectation of $X$ $(E[X])$?
- Probability/Outcome
- Foundations in probability
- A gamma function problem