Explain moment generating functions and poisson process

Assignment Help Mathematics
Reference no: EM13122433

Probability: Moment Generating Functions and Poisson Process

Let X be a discrete random variable with probability mass function Pr {X=k} = c(1+ k^2) for k= -2, -1, 0, 1, 2.
a) Determine c.
b) Determine Pr {X <= 0}
c) Determine the mean of X
d) Why is the previous answer fairly obvious?
e) Determine the variance of X
f) Compute Pr {X=2 | X >= 0}
g) Determine the moment generating function of X

Let Y be a Poisson random variable with parameter 1.5
a) Compute Pr {Y=0}
b) Compute Pr {Y <= 1}
c) Compute Pr {Y=0 |Y <= 1}
d) What is E[Y]?
e) Determine the variance of Y
f) Determine the moment generating function

Suppose the random variable S has moment generating function of (q + p *(e^t))^n where q= 1- p, 0 < p < 1 and n is a positive integer. Find the mean and variance of Y.

Reference no: EM13122433

Questions Cloud

Excess of tax depreciation over book depreciation : Excess of tax depreciation over book depreciation, $40,000. This $40,000 difference will reverse equally over the years 2011-2014. Deferral, for book purposes, of $25,000 of rent received in advance. The rent will be earned in 2011.
What is the marginal rate of substitution for consumer : How much of each good does each consumer demand in equilibrium and what is the marginal rate of substitution for consumer A at the competitive equilibrium?
Slope-intercept form of perpendicular bisector : Find the slope-intercept form of a line that is the perpendicular bisector of a line segment connecting (-7,3) and (1,17)
Quadratic minimum maximum problems : A rope connects two poles that are 80 feet apart. The function .02x^2+15 models the height the rope is above the ground
Explain moment generating functions and poisson process : Probability: Moment Generating Functions and Poisson Process Let X be a discrete random variable with probability mass function Pr {X=k} = c(1+ k^2) for k= -2, -1, 0, 1, 2.
Information about slope intercept form : In the problem below, assume that the relationship can be expressed as a linear equation in two variables, and use the given information to determine the equation. Express the equation in slope-intercept form.
Promotional and accounting services : During the current year JET Industries issued 5 million of its $1 par common shares to its underwriters for $25,000,000 less promotional and accounting services of $500,000 to effect the issue.
English essay on friendship in the internet age : english essay Friendship in the Internet Age.write a 5-6 page research paper discussing and debating the topic. The paper must use at least 5 sources .
What is a break even point : What is a break even point? a) The level of operations at which a business revenues exceeds the budget. b) The level of operations at which the business will be able to break into a new market

Reviews

Write a Review

 

Mathematics Questions & Answers

  Analyzing the graph of the given function

Analyzing the graph of the given function using first and second derivative

  Find what is the probability that the nut fits the bolt

What is the probability that the nut fits the bolt? (Note: the sample space consists of all pairs of nuts and bolts, and each pair is equally likely to be chosen.)

  Probability based on normal distribution

Probability based on normal distribution.

  Stem-and-leaf plot for a given sample

The number of surfer's special burritos served was sampled during a dinner period 5:00 p.m. - 8:30 p.m. at a taco shop on a weekday. Below is the sample:

  Rolling a total of four on two fair six sided dice

Which pair has equally likely outcomes? List the letters of the two choices below which have equal probabilities of success, separated by a comma.

  Sampling distribution and sample mean- probability

Sampling Distribution and Sample Mean : Probability, The shelf life of a digital storage device is normally distributed with mean 10 years and standard deviation 2 years. Suppose you are a quality assurance manager and wish to verify this statisti..

  Find rate of increment in the height of conical pile

To find the rate of increment in the height of conical pile at a particular point using differentiation.

  Calculate the mean of this sampling distribution

Calculate the mean of this sampling distribution

  Probability combinations

Probability : Combinations, Mr james just won 6 tickets for each of 2 consecutive Giants home football games. For the first game, Mrs James will not be able to attend so he has 5 extra tickets.

  Assume that the shoppers arrive at the checkout lane

T.J.'s market is a small local grocery store with only one checkout counter. Assume that the shoppers arrive at the checkout lane at an average rate of 15 customers per hour and that the average order takes 3 minutes to ring up and bag.

  Probability - independence of two events

Probability - independence of 2 events. Prove that if A and B are independent events in a probability space, then the events A^c and B^c are also independent.

  Find the area between them bounded by the given value

The following pairs of functions, graph each one together in Desmos, show on your graph and find the area between them bounded by the given values of x.

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