Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Statistics and Probability Expert

Expected value based on Binomial and Geometric distribution.

A certain exterminator specializes in Apexis rodents. Apexis rodents ALWAYS infest the basement of a house. They sometimes, but not always, infest the rooms of the house. When the exterminator looks for the Apexis nest in the basement he has a 10 percent chance, every minute, of finding it. There is a 40% chance that any given room of the house is infested. Let Y be the number of minutes spent searching the basement for the Apexis rodents. Let X is the number of rooms in a six room house infested by Apexis rodents. The exterminator's statistician assures him that X and Y are independent

a. What is the distribution of X? Declare its mean and variance.

b. What is the distribution of Y? State its mean and variance.

c. The exterminator charges a hefty fifty dollars for every minute spent searching the basement. However he feels bad when the infestation goes beyond the basement and refunds 5 dollars for every room that is infested. Let C be the amount charged to an infested house. Find the expected value and variance of C.

d. Find out E (XY)

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M920122

Have any Question? 


Related Questions in Statistics and Probability

Consider the following system of preferences recall that

Consider the following system of preferences (recall that the preferences of the women appear in the lower right side of each cell (read vertically) and the preferences of the men appear on the upper left side (read hori ...

Discuss the beginnings of the cold war from the position

Discuss the beginnings of the Cold War. From the position of a Soviet ruler, how might you have viewed the situation following WWII? How did the Truman administration attempt to handle it? (Include as many of the followi ...

Ship collisions are rare in the houston ship channel the

Ship Collisions are rare in the Houston Ship Channel. The mean is .8 collisions in 6 months What is the probability of no collisions in 6 months. What is the probability of one collision in a year?

Suppose a researcher believes that college faculty vote at

Suppose a researcher believes that college faculty vote at a lower rate than college students. She collects data from 200 college faculty and 200 college students using simple random sampling. If 120 of the faculty and 1 ...

A biology instructor believes that the average quiz score

A Biology instructor believes that the average quiz score is a good predictor of final exam score. A random sample of 10 students produced the following data where x is the average quiz score and y is the final exam scor ...

The mean sat score in mathematics is 515 the founders of a

The mean SAT score in mathematics is 515 . The founders of a nationwide SAT preparation course claim that graduates of the course score higher, on average, than the national mean. Suppose that the founders of the course ...

The annual commissions earned by sales representatives of

The annual commissions earned by sales representatives of Machine Products, Inc. a manufacturer of light machinery, follow the normal probability distribution.  The mean yearly amount earned is $40,000 and the standard d ...

Consider the approximately normal population of heights of

Consider the approximately normal population of heights of male college students with mean μ = 68 inches and standard deviation of σ = 4.6 inches. A random sample of 16 heights is obtained. (a) Describe the distribution ...

In a recent survey of high school seniors a random sample

In a recent survey of high school seniors, a random sample of 1000 females showed that 650 were planning on pursuing a college degree, while a random sample of 1000 females showed that 600 were planning on pursuing a col ...

1 why do researchers want the error variance in their data

1. Why do researchers want the error variance in their data to be small? 2. Why do researchers use meta-analysis?

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro

Describe what you learned about the impact of economic

Describe what you learned about the impact of economic, social, and demographic trends affecting the US labor environmen