2.2 Let the variable X have the binomial distribution, that is,p(x) = (") p*(q)"-*, x= 0,1,2, -- ,nIf the mean of X is given to be µ = np.Find E[X(X – 1)].Use results in (i) to find the variance of X.i.ii.

Answered: Image /qna-images/answer/5645bba6-fcd4-4887-8b19-f1d46d639a8a.jpg

Answered: 2.2 Let the variable X have the…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.5: Exponential And Logarithmic Models

Problem 4ECP

See similar textbooks

Similar questions

What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?
i)Fix the standard deviation of variance at sigma(0)=1.Sketch the graphs for N(-2,1) „N(0.1) ,N(2,1). ii)Fix the mean at =O.Then sketch the graphs for N(0,1) N(0,2), N(0,3).Interpret the graphs in terms of the distribution of the data about the mean.
The variation of Y around its mean can be decomposed into which two parts?
X1,..., X, are independent, identically distributed RVs with mean u and variance g?. Find the mean of S- Σ(Χ,-X), where X= -ΣΧ,
Find the characteristic function of the geometric distribution given by P(X = r) = q' p, r = 0, 1, 2, ..., ∞, p + q = 1. %3D Hence find the mean and variance.
36. QUESTION: Let X have the density f(x) = 2x if 0 < r <1 and f(x) = 0 otherwise. Show that X has the mean 2/3 and the variance 1/18. Find the mean and the variance of the random variable Y = -2X + 3.
a. Show that the regression R2 in the regression of Y on X is the squaredvalue of the sample correlation between X and Y. That is, show thatR2 = r2XY.b. Show that the R2 from the regression of Y on X is the same as the R2from the regression of X on Y. c. Show that ^β1 = rXY (sY/sX), where rXY is the sample correlationbetween X and Y, and sX and sY are the sample standard deviationsof X and Y.
4
From a set of observations the arithmetic mean and variance were calculated. It is found that one of the values x, is in error and should be replaced by x'1. Show that the adjustment to the variance to correct this 10. error is X1 - x1 + 2T (x1' – x1) x1'+ X in where T is the total of the original observations.
I have no idea of how to even start. Please help
The intensity of a hurricane is a random variable that is uniformly distributed on the interval [0, 3]. The damage from a hurricane with a given intensity y is exponentially distributed with a mean equal to y. Calculate the variance of the damage from a random hurricane. (A) 1.73 (B) 1.94 (C) 3.00 (D) 3.75 (E) 6.00
Derive that the variance of the forecasted error using Exponential Smoothing (ES) method is given by 20² Var(et) 2 – α Where o² is the variance of individual observation and a is the parameter in the ES method. =

SEE MORE QUESTIONS

Recommended textbooks for you

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

College Algebra

Algebra

ISBN:

9781337282291

Author:

Ron Larson

Publisher:

Cengage Learning

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax

Big Ideas Math A Bridge To Success Algebra 1: Stu…

Algebra

ISBN:

9781680331141

Author:

HOUGHTON MIFFLIN HARCOURT

Publisher:

Houghton Mifflin Harcourt

SEE MORE TEXTBOOKS

2.2 Let the variable X have the binomial distribution, that is, p(x) = (") p*(q)"-*, x = 0,1,2,-,n If the mean of X is given to be u = np. Find E[X(X – 1)]. ii. Use results in (i) to find the variance of X. i.

2.2 Let the variable X have the binomial distribution, that is, p(x) = (") p(q)"-, x = 0,1,2,-,n If the mean of X is given to be u = np. Find E[X(X – 1)]. ii. Use results in (i) to find the variance of X. i.