Compute the number of purchases for everyone

Assignment Help Basic Statistics
Reference no: EM131680473

Question: Let X be the number of purchases that Fred will make on the online site for a certain company (in some specified time period). Suppose that the PMF of X is P(X = k) = e/k! for k = 0, 1, 2,... . This distribution is called the Poisson distribution with parameter , and it will be studied extensively in later chapters.

(a) Find P(X ≥ 1) and P(X ≥ 2) without summing infinite series.

(b) Suppose that the company only knows about people who have made at least one purchase on their site (a user sets up an account to make a purchase, but someone who has never made a purchase there doesn't appear in the customer database). If the company computes the number of purchases for everyone in their database, then these data are draws from the conditional distribution of the number of purchases, given that at least one purchase is made. Find the conditional PMF of X given X ≥ 1. (This conditional distribution is called a truncated Poisson distribution.)

Reference no: EM131680473

Questions Cloud

What carbohydrates healthy foods : What carbohydrates healthy foods can be added to someone diet who needs to loose weight? And why?
Sketch the pmfs on a second set of axes : Give an example of r.v.s X and Y such that FX(x) = FY (x) for all x, where the inequality is strict for some x. Here FX is the CDF of X and FY is the CDF of Y.
Define how is the global obesity pandemic reflective : How is the global obesity pandemic reflective of the epidemiological transition and how does it differ from the transition
How would you explain the notion that the given mistakes : How would you explain the notion that these mistakes were a result of al Qaeda leadership not fulfilling its duties related to the issues of communication?
Compute the number of purchases for everyone : If the company computes the number of purchases for everyone in their database, then these data are draws from the conditional distribution.
Create a dilemma when managing forests : Discuss if Forests is best managed by privatization or through collective action and why - Discuss how the concepts of rivalry and excludability affect
Explain terrorist leadership position communicate the agenda : We have been focusing upon how those in terrorist leadership positions communicate their agenda to those within their organizations, their affiliates.
Develop an outline of a project service plan : develop an outline of a project service plan that you might display to potential supporters of your project
Find the probability that there will be enough seats : An airline overbooks a flight, selling more tickets for the flight than there are seats on the plane (figuring that it's likely that some people won't show up).

Reviews

Write a Review

Basic Statistics Questions & Answers

  Suppose we are comparing the variability in healthcare

suppose we are comparing the variability in healthcare costs from one state to another in the us. for state 1 the

  Conduct the test using the level of significance

Suppose that a claim is made that the average billionaire is 60 years old or younger.The following is a random sample of billionaires. Conduct the test using the 0.05 level of significance.

  Construct a laspeyers index using 1988 as a base year what

a security analyst wishes to construct an index to reflect the changes in the price of five stocks in a certain

  Finding and interpreting coefficients of correlation

Find out and interpret coefficients of correlation and determination for U. S. prices versus Canadian prices.

  A backlog of cars waiting to be serviced

At a successful garage, there is always a backlog of cars waiting to be serviced. The service times of cars are iid exponential random variables with a mean service time of 30 minutes. Find the PMF of N(t), the number of cars serviced in the first..

  Point estimate for the population mean

What is a point estimate for the population mean µ?

  Research of confidence intervals to market a new product

Find an article that incorporates research of confidence intervals to market a new product. Summarize the information gained from your research

  A random sample of 44 unlv students is taken the average

a random sample of 44 unlv students is taken. the average age in the sample was 20.2 years with a standard deviation of

  Probability-united states postal service

The United States Postal Service reports that 95 percent of first class mail within the same city is delivered within two days of the time of mailing. Six of the letters are randomly sent to different locations.

  Which class had the highest mean score

Which class had the highest mean score?- Which class had the highest median score?- For which class are the mean and median most different? Which is higher? Why?

  Iq scores and normal distribution

A person must score in the upper 2% of the population on an IQ test to qualify for member ship in Mensa, the international high-IQ society. If IQ scores are normally distributes with a mean of 100 and a standard deviation of 15, what score must a ..

  Receiving and sending e mail-selected at random

According to TNS Intersearch, 69% of wireless web users use it primarily for receiving and sending e-mail. Suppose that three wireless web users are selected at random. What is the probability that all of them use it primarily for e-mail?

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