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

Determine the power for the following test of hypothesis h0

Determine the power for the following test of hypothesis. H0 : μ = 950 vs. H1 : μ ≠ 950, given that μ = 1,000, α = 0.10, σ = 200, and n = 25.

1 use your own random mu sigma to generate four sets of

1) Use your own random (μ, σ) to generate four sets of (normal-distribution based) random numbers (i.e., samples) of sizes n = 5, 20, 80, and 320, respectively. 2) Calculate the means and standard deviations for the 4 sa ...

1 a producer specifies that the mean lifetime of a certain

1. A producer specifies that the mean lifetime of a certain type of battery is at least 240 hours. A sample of 18 such batteries yielded the following data. 237             242             232 242             248         ...

A company has 100000 to invest in new rampd projects

A company has $1,00,000 to invest in new R&D projects.  The company wants to determine what set of projects should be selected.   The following table summarizes the initial cost and revenue potential for each of the proj ...

Joshua and his army are planning to circle jericho seven

Joshua and his army are planning to circle Jericho seven times. Will the wall come tumbling down? The king of Jericho reports that: I ascribe probability 0.8 to "the wall of the city will fall, and Joshua ascribes probab ...

Let x have a poisson distribution with parameter lambda

Let X have a Poisson distribution with parameter lambda. Show that E(X)= lambda directly from the definition of expected value. [Hint: The first term in the sum equals 0, and then x can be canceled. Now factor out lambda ...

Describe the collapse of the soviet union begin with the

Describe the collapse of the Soviet Union. Begin with the events during the 1980s including the entire Gorbachev era. Should include at least the following topics: 1. Poland's democratic revolution of the 1980s 2. Gorbac ...

1 consider a test of h0 mu le 100 versus h1 mu gt 100

1. Consider a test of H0 : μ ≤ 100 versus H1 : μ > 100. Suppose that a sample of size 20 has a sample mean of X = 105. Determine the p-value of this outcome if the population standard deviation is known to equal  (a) 5; ...

A research concludes that the number of hours of exercise

A research concludes that the number of hours of exercise per week for adults is normally distributed with a mean of 3.5 hours and a standard deviation of 3 hours. (a) Find the 75th percentile for the distribution of exe ...

A car dealership has 6red12silver and 5black cars on the

A car dealership has 6red,12silver, and 5black cars on the lot. Ten cars are randomly chosen to be displayed in front of the dealership. Complete parts (a) through (c) below. (a) Find the probability that 4 cars are red ...

  • 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

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

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