Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. statistics
  3. please write in detail neatly. kindly don't use an

Please write in detail neatly. Kindly don't use any symbols and shortcut words. Please write the...

60.1K

Verified Solution

Question

Statistics

Please write in detail neatly. Kindly don't use any symbols andshortcut words. Please write the formula appropriately. Thequestion is:

Consider an unbiased 4-sided die where the sides are numbered 1,2, 3, 4, and a biased coin with probability of head P(H) =4 dividedby 7. A chance experiment consists of rolling the die once and thentossing the coins many times as the number showing on the die. LetX represent the outcome of the roll of the die, and let Y representthe number of heads observed after tossing the coin. Below, findeach of the following:

a. R(X) and R(Y)

b. Give the distribution of X. What is the name of thisdistribution?

c. What is the name of the conditional distribution P(Y | X =2). Give this distribution.

d. Give the conditional expectation E[Y | X = 2].

e. Give the joint distribution of the random vector < X, Y>.

f. Give P(Y = 3).

g. Give P(X = 2 | Y = 2).

h. Give E[E[Y|X]].

Please explain to me about \"unbiased 4-sided die\" and \"a biasedcoin.\" I just need to understand the meaning of them. Could youplease give two examples so that I can understand easily?

Answer & Explanation Solved by verified expert
4.4 Ratings (1055 Votes)
X Outcome of    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Geometry
1.2K views

Graph the image of the figure using the transformation given 1 translation 2 3 3...

Biology
1.2K views

Cyst formation causes a catastrophic loss of function in polycystic kidney disease.  Genetic research has linked this disease...

Biology
1.2K views

I got a 3/5 on a quiz about the membrane or membranes and transport, but they...

Advance Math
1.2K views

police car is traveling south towards the intersection that a robber’s car has just crossed traveling...

Finance
1.2K views

.  Problem 8.07 Click here to read the eBook: Risk in a Portfolio Context: The CAPM Problem Walk-Through PORTFOLIO REQUIRED...

Physics
1.2K views

Consider a metallic ring of radius 1m mass 1kg and carrying current 1A in a...

Basic Math
1.2K views

Write the quadratic function in intercept form that has intercepts of -3 and 7 and...

Calculus
1.2K views

2 5 pts Suppose y f x is defined for all x Sketch a graph...

Accounting
1.2K views

Need help with 6-6A steps 1-3. Please type the answer thank you ...

Accounting
1.2K views

Which of the following is a potential red flag as a behaviour change related to...

Accounting
1.2K views

In response to requests from customers, S Rey will begin selling computer software. The company...

Accounting
1.2K views

17. The difference between a receivable and a payable X: is that they appear on...