1. Discrete Random Variables. Suppose that we are interested in the number of cups of coffee drank by a (randomly selected) student at UCLA. This quantity can be represented as a random variable Y with probability mass function:
if a ∈ {0,1,2}
if a = 3
if a = 4 ,
if a = 5 0 otherwise
where c is an unknown constant.
(a) Explain why the number of cups of coffee drank in a day by a randomly selected student at UCLA is a random variable.
(b) What is the relevant outcome space of the random variable Y ?
(c) Explain what the distribution of this random variable represents. In other words distribution of Y assigns a probability to any subset of the outcome space. How do we interpret this probability? (d) Solve for c. (Hint: Recall that PY (OY ) = 1 so that Pa∈OY pY (a) must equal one).
(e) What is the probability that a randomly selected student at UCLA drinks at least 3 cups of coffee a day, PY (Y ≥ 3)?
(f) What is the expected number of cups of coffee drank per day for a randomly selected student at UCLA?
GET SOLUTION FOR THIS ASSIGNMENT, Get Impressive Scores in Your Class
TO BE RE-WRITTEN FROM THE SCRATCH
GET SOLUTION FOR THIS ASSIGNMENT
TO BE RE-WRITTEN FROM THE SCRATCH
- Original and non-plagiarized custom papers- Our writers develop their writing from scratch unless you request them to rewrite, edit or proofread your paper.
- Timely Delivery– primewritersbay.com believes in beating the deadlines that our customers have imposed because we understand how important it is.
- Customer satisfaction- Customer satisfaction. We have an outstanding customer care team that is always ready and willing to listen to you, collect your instructions and make sure that your custom writing needs are satisfied
- Confidential- It’s secure to place an order at primewritersbay.com We won’t reveal your private information to anyone else.
- Writing services provided by experts- Looking for expert essay writers, thesis and dissertation writers, personal statement writers, or writers to provide any other kind of custom writing service?
- Enjoy Please Note-You have come to the most reliable academic writing site that will sort all assignments that that you could be having. We write essays, research papers, term papers, research proposals. Explain why the number of cups of coffee drank in a day by a randomly selected student at UCLA is a random variable
Get Professionally Written Papers From The Writing Experts