Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Math Expert


Home >> Math

Please give complete, well written and well describeed solutions.

1. Daily Airlines ies from Amsterdam to London every day. The price of a ticket for this extremely popular ight route is $75. The aircraft has a passenger capacity of 150. The airline management has made a policy to sell 160 tickets for this ight in order to protect themselves against noshow passengers. Experience has shown that the probability of a passenger being a no-show is equal to 0.1. The booked passengers act independently of each other. Given this overbooking strategy, what is the probability that some passengers will have to be bumped from the ight? (You can either use any computing tool to obtain a numerical value, or simply leave an expression simpli_ed to your best.)

2. Find an ex in which three random variables are pairwise independent but not independent as a family.

3. Suppose that X and Y are two dependent random variables. In statistical applications, it is often the case that we can observe the random variable X but we want to know the dependent random variable Y . What is the best linear predictor of Y with respect to X? In other words, for which linear function y = α +βx is

E[(Y -βX)2]

minimal? Express your answer in terms of: μX = E(X), μY = E(Y ), σX = √ Var(X), σY = √Var(Y ), and ρXY = ρ(X; Y ).

4. Let X and Y have joint mass function

f(j, k) = (c(j + k)aj+k /j!k!) , j, k>= 0

where a is a constant. Find c, P(X = j), P(X + Y = r), and E(X).

5. Let X1, X2,..... be identically distributed random variables with mean μ, and let N be a random variable taking values in the non-negative integers and independent of the Xi. Let S = X1 + X2 +....... + XN. Show that

E(S|N) =  μN, and deduce that E(S) =  μE(N).

6. A factory has produced n robots, each of which is faulty with probability Φ. To each robot a test is applied which detects the fault (if present) with probability δ. Let X be the number of faulty robots, and Y the number detected as faulty. Assuming the usual independence, show that

E(XjY ) = (nΦ(1 - δ) + (1 -Φ)Y)/ (1 -Φδ)

 

Math, Academics

  • Category:- Math
  • Reference No.:- M9765

Have any Question? 


Related Questions in Math

Assessment activity instructionsdemonstrate your

Assessment Activity Instructions Demonstrate your understanding and knowledge gained about session's material. Complete with a short discussion (one paragraph) for each question on a Word document and upload through the  ...

Find thenbspareanbspand thenbspcircumferencenbspof a circle

Find the  area  and the  circumference  of a circle with  diameter 3cm. Use the value 3.14 for π, and do not round your answers. Be sure to include the correct units in your answers.

Did you know that the skin is our largest organ in the

Did you know that the skin is our largest organ in the body? Many different skin reactions can occur that can be acute or chronic. Tell us about a reaction you have experienced and could it have been prevented? What did ...

The time it takes you to get to campus varies inversely as

The time it takes you to get to campus varies inversely as your driving rate. Averaging 20 miles per hour in terrible traffic, it takes you 1.5 hrs to get to campus. How long would the trip take averaging 60 miles per ho ...

In traveling three-fourths of the way around a circle a car

In traveling three-fourths of the way around a circle a car travels 0.224 mi. What is the radius of the traffic circle? (Do not round until the final answer. Round to the nearest thousandth as needed)

How much money should be deposited today in an account that

How much money should be deposited today in an account that earns 8% compounded quarterly so that it will accumulate to $20,000 in six years?

Peter a massachusetts resident applied for a loan at three

Peter, a Massachusetts resident, applied for a loan at three banks. Peter's application was denied at the first two banks but finally was approved by the third institution. Peter believes that the first two banks denied ...

Lea and jose are selling cookie dough for a school

Lea and Jose are selling cookie dough for a school fundraiser. Customers can buy packages of white chocolate chip cookie dough and packages of oatmeal cookie dough. Lea sold 1 package of white chocolate chip cookie dough ...

List three major disadvantages of internet search engines

List three major disadvantages of internet search engines, then briefly describe other electronic research tools that overcome those shortcomings. Essay of 350-500 words. (Introduction, body and conclusion)

A planet follows an elliptical path described by 16x24y264

A planet follows an elliptical path described by 16x^(2)+4y^(2)=64. A comet follows the parabolic path y=x^(2)-4. Where might the comet intersect the orbiting planet?

  • 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