Looking for help with an assignment? Connect with an assignment Expert Now!

How would you differentiate a discrete from a continuous random variable?

How would you differentiate a discrete from a continuous random variable?.

Many business activities generate data that can be thought of as random. An example described in the textbook is the servicing of cars at an oil change shop. Each car entering the shop can be considered an experiment with random outcomes. A variable of interest in this experiment could be the amount of time necessary to service the car. Service time will vary randomly with each car.

We can often capture the most relevant characteristics of a stochastic process with a simple probability distribution model. We can then analyze the model to make predictions and drive decisions. For instance, we could estimate the number of technicians the oil change shop needs to service demand on a Saturday afternoon. Discuss the following:

  • What is a random variable?
  • How would you differentiate a discrete from a continuous random variable?

A laptop manufacturing company has implemented a 2-step process to test the quality of each production batch. In the first step, a technician randomly selects 15 laptops from the batch and determines whether they meet specifications. The batch is considered acceptable provided no more than 1 laptop fails to meet specifications. Otherwise, the entire batch must be tested in the second step. Historical data shows that 95% of the laptops produced adhere to specifications. Discuss the following:

  • What are the 4 characteristics of a binomial experiment?
  • Can we use a binomial distribution to model this process?
  • What is the probability that the entire batch unnecessarily has to be tested if in fact 95% of its laptops conform to specifications? (Hint: Use Excel’s =BINOMDIST() function to find the probability.)
  • What is the probability that the batch is incorrectly accepted if only 75% of its laptops conform to specifications?

How would you differentiate a discrete from a continuous random variable?

Get a Quick Quote

Approximately 250 words
Total price (USD) $: 10.99

Pressed for time on your upcoming paper? We can help!

Bored with homework

Reviews from Clients who Ordered from Our Website

Client: 3425

Ive submitted over 30 assignments from this website and gotten an average of 3.8 G.P.A.

Client: 2516

Juggling school with family and work has always been hectic but this website made it easy to do my studies and work while raising my 3 year old girl.

Client: 3516

Great customer service and quality work delivered on time!

Client: 2718

Client: 7384

Client: 8291

Client: 162

Client: 827

They delivered a professional and well written Resume for me. Reccommend

Why Us?

Privacy

Your personal and payment details are safe with us. Our website uses secure encryption for all orders. We guarantee not to share your details with any third parties.

Flexible Pricing

We offer great discounts and flexible pricing tailored to your needs. Additionally, we provide offers for orders above 30 pages and returning customer.

Originality

Our Professional Team of Writers have great experience and writing techniques to provide you with Quality Non-plagiarized work.

Customer Support

Our Customer Support and Professional Team of Writers are always available to help you anytime. Our Team  of writers are also available to take care of your writing needs 24/7 Live Chat is available 24/7 

How it Works

Step1: Provide Instructions

 

Provide detailed instructions including deadline for your paper and any additional information

Step 2: Pay & Assign Writer

 

Complete payment through our safe checkout and wait for your order to be assigned to suitable writer

Final Step: Download & Review

 

Download & Review your paper. You may request revision if anything is not satisfactory and rate the writer.