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..

User Account

All Pages