Q2. (a) Suppose that X ~ a point estimate of p. Is P 12. i) an unbiased point estimate of p? Justify your answer. X ii) What is the mean square error of p= 12 b) Suppose that, E(X)= E(Y)= µ, Var(X)=4, and Var(Y) = 6. What value of p minimizes the variance of u= pX +(2-p)Y? .Find the MSE of û. MAT361SSFinSp22.docx

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.CR: Chapter 2 Review
Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...
icon
Related questions
Question
Q2. (a) Suppose that X B(n=10, p) and consider the point estimate. Let us consider =
X
as
12
a point estimate of p.
X
an unbiased point estimate of p? Justify your answer.
12.
i)
Is p =-
X
What is the mean square error of p=
12
ii)
b) Suppose that, E(X)= E(Y)= µ, Var(X)= 4, and Var(Y) = 6. What value of p
minimizes the variance of u= pX +(2- p)Y? .Find the MSE of û.
MAT361SSFinSp22.docx
Transcribed Image Text:Q2. (a) Suppose that X B(n=10, p) and consider the point estimate. Let us consider = X as 12 a point estimate of p. X an unbiased point estimate of p? Justify your answer. 12. i) Is p =- X What is the mean square error of p= 12 ii) b) Suppose that, E(X)= E(Y)= µ, Var(X)= 4, and Var(Y) = 6. What value of p minimizes the variance of u= pX +(2- p)Y? .Find the MSE of û. MAT361SSFinSp22.docx
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning