An ordinary random sum of random variables

Reference no: EM131084146

Suppose we flip a fair coin repeatedly. Let Xi equal 1 if flip i was heads (H) and 0 otherwise. Let N denote the number of flips needed until H has occurred 100 times. Is N independent of the random sequence X1, X2,...? Define Y = X1+···+ XN. Is Y an ordinary random sum of random variables? What is the PMF of Y?

Reference no: EM131084146

Questions Cloud

Effective visual presentation : How do you plan to transform your written material into an effective visual presentation for this week's final assignment? How can you take what you have learned about grammar in this class and apply it to your course work or in your professional w..

How much would be needed for a misdemeanor charge : Did you have probable cause to approach the defendant while he was parked at the traffic light? Why or why not? Defend your answer - Do you feel that the entrapment defense is a valid one, considering the assignment scenario? Why or why not? Defend..

What is the probability p[g = r] : what is the probability P[G = R]?

Formulation of the ethical question : Present a revised formulation of the ethical question and introduction to the topic. Explain the kind of reasoning you think is the best way to approach this question, and how that reasoning supports the position you think is strongest.

An ordinary random sum of random variables : Suppose we flip a fair coin repeatedly. Let Xi equal 1 if flip i was heads (H) and 0 otherwise. Let N denote the number of flips needed until H has occurred 100 times.

Write a function n=countequal(g,t) that duplicates : Simulate the testing of 100 microprocessors as described in Example 1.43. Your output should be a 4 × 1 vector X such that Xi is the number of grade i microprocessors.

Passes mcnabb throws in a game : In any game, the number of passes N that Donovan McNabb will throw has a Poisson distribution with expected value µ = 30. Each pass is a completed with probability q = 2/3, independent of any other pass or the number of passes thrown.

Type of literature piece : Introduction: Includes a greeting, purpose of the oral presentation, the type of literature piece you will be presenting, and three main points (subtopics) of your piece.

Discover about bonzo and stilson : Why does Ender cry after the fight with Bonzo? What do we discover about Bonzo and Stilson? Are you surprised?

User Account

All Pages