Question

In: Statistics and Probability

Alex met Claire Boucher (Grimes) at McGill. He has been waiting for the release of her...

Alex met Claire Boucher (Grimes) at McGill. He has been waiting for the release of her next album. Assume that the waiting time is exponential with mean 3 years. To keep up with releases Alex receives Resident Advisor’s monthly album review newsletter. Assume that the album will be featured in the next issue after its release. Let X be the number of newsletters required to get news of the release of the album. Find the probability mass function of X.

Expert Solution

Let X be the waiting time for release of the album which follows exponential distribution with pdf

where =1/3 as mean is given 3 years.

And the cdf of X is

Let Y be the number of newsletters required to get news of release of the album. Then Y takes values form {1,2,3,...}.

Then the relationship between waiting time X and Y is given by the following equation

where denotes the greatest integer less than or equal to X. The relationship comes from the fact that the album will be featured in the next issue of the newsletter after its release.

Then the probability mass function of Y is given by

; where k is observed valued of Y.

Then pmf of Y can be written as

where is the probability that Alex gets the news of release of the album.

So the pmf of Y is given by

which is Geometric distribution with .

Then it follows Geometric distribution with

orchestra answered 2 years ago

Alex has a contract where he can vary her labour supply between 0 and 40hrs/week. He...

Alex has a contract where he can vary her labour supply between 0 and 40hrs/week. He derive utility from consumption=c and leisure=L His preferences are represented by utility U(c,L)=min(c,L) Unit price of consumption = p, and the hourly wage rate is w. 1) Derive an expression for Alex's labour supply 2) The government is considering to introduce a consumption increasing policy, including, a transfer of money every month that Alex is eligible for. At what size of the transfer will...

A hospital administrator has been asked by her supervisor to assess whether waiting time in the...

A hospital administrator has been asked by her supervisor to assess whether waiting time in the emergency room (ER) has changed from last year, when average wait time was 127 minutes. The administrator collects a simple random sample of 64 patients and records the time between when they checked in at the ER until they were first seen by a doctor; the average wait time is 137 minutes, with standard deviation 39 minutes. a) Compute and interpret a 95% confidence...

Case Study: Beatrice has been seen by her physician, and he has diagnosed her with CHF....

Case Study: Beatrice has been seen by her physician, and he has diagnosed her with CHF. The doctor calls your pharmacy and asks if the pharmacist would recommend a medication that would decrease preload and afterload and that would not cause angioedema. What class of medications should be recommended? What adverse effects can be seen with these medications?

Alex is an employee at Big Country Producer Pty Ltd. He has negotiated the following remuneration...

Alex is an employee at Big Country Producer Pty Ltd. He has negotiated the following remuneration package: • Cash salary of $200,000. • On July 1, 2018 Alex was given a loan of $15,000 which he used to pay for an overseas holiday for her family. The loan is expected to be repaid over 3 years with an instalment of $5,000 due on June 30, 2019, 2020, and 2021. There is no interest charged on the loan. • Payment of his health club...

Scenario You met Dana, whose goal is to become a project manager. She has completed her...

Scenario You met Dana, whose goal is to become a project manager. She has completed her project management training and learned about the balanced scorecard. She is convinced her company needs more than just financial or budgetary control, and she believes the BSC approach would be better. Preparation In this written assignment, you will compare basic financial controls to the balanced scorecard (BSC) method explained in your reading. The following steps will help you prepare for your written assignment: Your...

There is a woman, she is married, but her husband abandoned her. It has been a...

There is a woman, she is married, but her husband abandoned her. It has been a year but never divorced. They have two children. She has a job, she lives with her parents during work, her parents There is a big house, her parents didn’t charge her any rent, and most of her money is spent on food and children. Question 1: will she qualify for a household Question 2: preparing her tax return what should you say to her?...

An application has been through pureview and regression testing and it's prepared for release. A security...

An application has been through pureview and regression testing and it's prepared for release. A security engineer is asked to analyze an application binary to look for potential vulnerabilities prior to wide release. After thoroughly analyzing an application to engineer informs the developer they should include additional input sanitation in the application to prevent overflow. Which of the following tools did the security engineer most likely used to determine this recommendation? Fuzzing HTTP interceptor vulnerability scanner SCAP scanner

Homser Lake, Oregon, has an Atlantic salmon catch and release program that has been very successful....

Homser Lake, Oregon, has an Atlantic salmon catch and release program that has been very successful. The average fisherman’s catch has been μ=8.8 Atlantic salmon per day. (Source: National Symposium on Catch and Release Fishing, Humboldt State University). Suppose that a new quota system restricting the number of fishermen has been put into effect this season. A random sample of fishermen gave the following catches per day: 12 6 11 13 5 0 3 7 8 7 6 3 9...

Lara has been told by her boss Phyllis to maximize her potentialat her job as...

Lara has been told by her boss Phyllis to maximize her potential at her job as an accountant. Lara tries really hard during the week, but is a bit confused at her weekly meeting with her boss when Phyllis says that Lara could have done better. This example best represents:A. Goal difficultyB. Lack of goal specificityC. Lack of feedbackD. Lack of goal commitment

1. Formative evaluation strategies: Focus on the whole event Identify if an outcome has been met...

1. Formative evaluation strategies: Focus on the whole event Identify if an outcome has been met Emphasize parts instead of the entirety Are most useful in the end of the learning activity 2. “Health literacy” is operationally defined in the United States as: “Being able to read and write at the 5th grade level Being able to accurately complete a health self-assessment questionnaire Knowing how to access and use information to make health decisions Knowing one’s right to obtain health...