Moment generating function

Assignment Help Basic Statistics
Reference no: EM13104770

Let x be N(µ,σ2 ) and consider the transformation x=log(y) or equivalently y=exp(x). Find the mean and the variance of y by first determining E(exp(x)) and E[(exp(x)^2 ], by using the moment generating function of x.

Reference no: EM13104770

Questions Cloud

Determine the optimal number to minimize expected cost : There are approximately 300 customers shopping in Fackert Department Store in Mexico City between 9 a.m. and 5 p.m. on Saturdays. All those entering the store will make purchases.
How far from the golfer does the ball land : A golfer tees off on level ground, giving the ball an initial speed of 38.5 m/s and an initial direction of 36.0° above the horizontal. (a) How far from the golfer does the ball land? (Neglect air resistance.)
Find approximate expressions for the speed : A mass m orbits around a planet of mass M in a parabolic orbit of the form y = x^2/(4L), which has focal length L. Find the angular momentum in 3 different ways: a) Find the speed at closet approach.
Write similarties-differences in civil rights-labor movement : Write similarties and differences do you see between Civil Rights Movement and labor Movement led by Cesar Chavez? Determine the influence of poverty on these movements?
Moment generating function : Let x be N(µ,σ2 ) and consider the transformation x=log(y) or equivalently y=exp(x). Find the mean and the variance of y by first determining E(exp(x)) and E[(exp(x)^2 ], by using the moment generating function of x.
Explain major types of labor arbitration interest and right : What is the cause of disputes and the contractual means used for resolving them? What are the two major types of labor arbitration "interest" and "right"? Explain each.
How long does it take for the ball to reach the wall : In a friendly game of handball, you hit the ball essentially at ground level and send it toward the wall with a speed of 15 m/s at an angle of 32° above the horizontal. (a) How long does it take for the ball to reach the wall if it is 4.2 m away? ..
Measures of national welfare : Discuss at least two alternative measures of national welfare that have been put forward? What are the primary strengths and weaknesses of these alternatives and discuss at least two alternative measures of national welfare that have been put f..
Compute the electric field between the plates : An air-filled capacitor consists of two parallel plates, each with an area of 7.60 cm2, separated by a distance of 1.95 mm. If a 21.7-V potential difference is applied to these plates, calculate the following. (a) the electric field between the pl..

Reviews

Write a Review

Basic Statistics Questions & Answers

  Determining shape of chi-square distribution

Determine the shape of chi-square distribution?

  Exponentially smoothed forecast

The manager fo the Petroco Service Station wants to forecast the demand for unleaded gasoline next month so that the proper number of gallons can be ordered from the distributor. Compute the two forecast by using MAPD and indicate which seems to be..

  Interpretation of a confidence level

For a given confidence interval, what is the interpretation of a 96% confidence level?

  Computing percentage of variance accounted by treatment

Calculate η 2 , the percentage of variance accounted for by treatment.

  Probability of graduate degrees

A firm plans to hire 100 employees during the year. It expects that 25 of these employees will obtain graduate degrees within the next 5 years of being hired.

  Compute spearman rank correlation

Two groups of students are asked to rank their preference for six types of soft drinks. The following table shows their rankings.

  Monte carlo sampling and its assumptions

Monte Carlo sampling makes the assumption that all parameters of an alternative are: A. Independent B. Dependent C. Equal to 1.0 D. Probability distribution

  Probability of key selection

A woman has n keys, of which one will open her door. (a) if she tries the keys at random, discarding those that do not work, what is the probability that she will open the door one her kth try?

  Confidence interval for population mean number weekly miles

Find a 99% confidence interval for the population mean number of weekly miles.

  Mode of the given test scores

The mean of a set of 7 numbers is 13. What is the sum of the numbers? Find the mode of the following test scores: 89, 78, 91, 82, 75, 89, 84, 95, 89, 93

  Comparing cusum chart using standardized values

Compare a tabular cum sum chart using standardized values h = 5 and k = 1/2. What is the information you learn.

  Determining probability that 3 roll are defected

Determine the probability of having more than 3 defects in a roll?

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd