All our Essay orders are Original, and are written from scratch. Try us today at 30% off

Probability

Want answers to the assignment Below?

Text or Whatsapp Olivia at +1 (307) 209-4351


 

2021/8/17 HW4 – Intro to Probability
https://www.math.uci.edu/~gpatrick/homeDepot/130aOnline/.hw4.html 1/3
Intro to Probability – Homework Assignment 4
Please solve the problems and type the solutions up using LateX and the template provided. Naming instructions for the file you will submit are contained in the file itself. Please justify your answers and don’t simply give the answer.
Problem 1 If two fair dice are rolled, what is the conditional probability that the first one lands on 6 given that the sum of the dice is for ?
Problem 2 Consider an urn containing 12 balls, of which 8 are white. A sample of size 4 is to be drawn with replacement (without replacement). What is the conditional probability (in each case) that the first and third balls drawn will be white given that the sample drawn contains exactly 3 white balls?
Problem 3 Three cards are randomly selected, without replacement, from an ordinary deck of 52 playing cards. Compute the conditional probability that the first card selected is a spade given that the second and third cards are spades.
Problem 4 In a certain community, 36% of the families own a dog and 22% of the families that own a dog also own a cat. In addition, 30% of the families own a cat. What is
a. the probability that a randomly selected family owns both a dog and a cat?
b. the conditional probability that a randomly selected family owns a dog given that it owns a cat?
Problem 5 Urn A contains 2 white and 4 red balls, whereas urn B contains 1 white and 1 red ball. A ball is randomly chosen from urn A and put into urn B, and a ball is then randomly selected from urn B. What is
a. the probability that the ball selected from urn B is white?
b. the conditional probability that the transferred ball was white given that a white ball is selected from urn B?
i i = 1, … , 12
Home About Video Lectures Short Videos Problem Sets FAQ Resources Contact
 
https://www.math.uci.edu/~gpatrick/homeDepot/130aOnline/FnameLnameHWn.tex
https://www.math.uci.edu/~gpatrick/homeDepot/130aOnline/courseIndex.html
https://www.math.uci.edu/~gpatrick/homeDepot/130aOnline/.about.html

 
2021/8/17 HW4 – Intro to Probability
https://www.math.uci.edu/~gpatrick/homeDepot/130aOnline/.hw4.html 2/3
Problem 6 a. A gambler has a fair coin and a two-headed coin in his pocket. He selects one of the coins at random; when he flips it, it shows heads. What is the probability that it is the fair coin?
b. Suppose that he flips the same coin a second time and, again, it shows heads. Now what is the probability that it is the fair coin?
c. Suppose that he flips the same coin a third time and it shows tails. Now what is the probability that it is the fair coin?
Problem 7 Let . Express the following probabilities as simply as possible
Problem 8 A ball is in anyone of boxes and is in the -th box with probability . If the ball is in box , a search of that box will uncover it with probability . Show that the conditional probability that the ball is in box , given that a search of box did not uncover it, is
Problem 9 An event is said to carry negative information about an event iff
This is denoted by . Either give a proof or provide a counterexample for the following assertions
a. If , then .
b. If and , then .
c. If and , then .
Problem 10 The probability of getting a head on a single toss of a coin is . Suppose that A starts and continues to flip the coin until a tail shows up, at which point B starts flipping. Then B continues to flip until a tail comes up, at which point A takes over, and so on. Let
E ⊂ F
P (E|F ), P (E|F c), P (F |E), P (F |E c).
n i Pi i αi
j i
,  if j ≠ i,  and  ,  if i = j. Pj
1 − αiPi
(1 − αi)Pi 1 − αiPi
E
P (E|F ) ≤ P (E).
F ↘ E
F ↘ E E ↘ F
F ↘ E E ↘ G F ↘ G
F ↘ E G ↘ E F ∩ G ↘ G
p
Pn,m
Home About Video Lectures Short Videos Problem Sets FAQ Resources Contact
 
https://www.math.uci.edu/~gpatrick/homeDepot/130aOnline/courseIndex.html
https://www.math.uci.edu/~gpatrick/homeDepot/130aOnline/.about.html

 
2021/8/17 HW4 – Intro to Probability
https://www.math.uci.edu/~gpatrick/homeDepot/130aOnline/.hw4.html 3/3
denote the probability that A accumulates a total of heads before B accumulates . Show that
n m
Pn,m = p Pn−1,m + (1 − p)(1 − Pm,n).
Home About Video Lectures Short Videos Problem Sets FAQ Resources Contact
 
https://www.math.uci.edu/~gpatrick/homeDepot/130aOnline/courseIndex.html
https://www.math.uci.edu/~gpatrick/homeDepot/130aOnline/.about.html

The post Probability first appeared on Assignment writing service.

  

Testimonials

Best Service

The book review I asked for is so amazing! Endless thanks to your team for completing my review and for...

Best

They look cool and trustworthy enough to me. I gather they made discounts as their prices are quite affordable if...

Mh! not bad…

The worst part ever was to find my deadline postponed for 1 hour ! They couldn`t finish the essay within...

Great Job

Great job! Those were you, guys, who made my coursework perfect in time according to all my requirements. I will...

No Complaints So far Guys

Yeah …I really like all the discounts that they offer, the prices are very flexible. Plus they have different promotions...

Comes through every time

I have used this website for many times, and each time they found perfect writers for me and they produce...

CLICK HERE  To order your paper

About Scholarfront Essay writing service

We are a professional paper writing website. If you have searched a question and bumped into our website just know you are in the right place to get help in your coursework. We offer HIGH QUALITY & PLAGIARISM FREE Papers.

How It Works

To make an Order you only need to click on “Order Now” and we will direct you to our Order Page. Fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.

Are there Discounts?

All new clients are eligible for upto 20% off in their first Order. Our payment method is safe and secure.

 CLICK HERE to Order Your Assignment

 

ORDER WITH 15% DISCOUNT

Let your paper be done by an expert

Custom Essay Writing Service

Our custom essay writing service has already gained a positive reputation in this business field. Understandably so, all custom papers produced by our academic writers are individually crafted from scratch and written according to all your instructions and requirements. We offer Havard, APA, MLA, or Chicago style papers in more than 70 disciplines. With our writing service, you can get quality custom essays, as well as a dissertation, a research paper, or term papers for an affordable price. Any paper will be written on time for a cheap price.

Professional Essay writing service

When professional help in completing any kind of homework is all you need, scholarfront.com is the right place to get it. We guarantee you help in all kinds of academia, including essay, coursework, research, or term paper help etc., it is no problem for us. With our cheap essay writing service, you can be sure to get credible academic aid for a reasonable price, as the name of our website suggests. For years, we have been providing online custom writing assistance to students from countries all over the world, including the United States, Canada, the United Kingdom, Australia, Italy, New Zealand, China, and Japan.