There are n people sitting in a ring. If a person gets the keg of beer this individualpasses it on with some probability 1-p and back with probability p. Such a personis called p-drunk. Suppose a p-drunk person sits on the left of a q-person. Thesetwo persons form together someone who is r-drunk. What is r? Compare it withand9.

Given: There are n people sitting in a ring. If a person gets the keg of beer this individual passes…

Answered: There are n people sitting in a ring.…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Similar questions

Assume that A and B are events. If P(AUB) = 0.7, P(A) = 0.4, and P(B) = 0.55, find P(ANB). P(ANB) = (Simplify your answer. Type an integer or a decimal.)
From a group of 10 children, a team of 5 (red team) is randomly chosen. The remaining 5 children are on blue team. Two of the children are best friends, what is the probability they will end up on the same team? Can u show me the work for this?
Let A and B be two events with P(A and Bc) = 1. Find P(B). Recall that Bc denotes the complement of the event B.
Suppose that A and B are independent events such that =PA0.30 and =PB0.40 . Find P∩AB and P∪AB . (If necessary, consult a list of formulas.) (a) =P∩AB (b) =P∪AB
You are the teacher of two math classes of 20 and 25 students respectively. To get into a university program, the students need a 75% in the class. Suppose each student has a 0.7 probability of getting atleast a 75% in the class. Let X1 be the number of students in the class of 20 who receive atleast a 75%. Let X2 be the number of students in the class of 25 who receive atleast a 75%. a. Do X1 and X2 fit the binomial setting? Are there any issues? For the rest of the question, assume both X1 and X2 can be modeled by a binomial distri- bution. b. What is the probability that exactly 15 students in the class of 20 get into the pro- gram? Do not use Table C. c. What is the probability that atleast 22 students in the class of 25 get into the pro- gram? Do not use Table C. d. Using Table C, what is the probability that atleast 17 students in the class of 20 get into the program? е. Let X be the number of students in both classes that get into the program. Deter- mine the mean and standard…
An integrated circuit contains 9.5x10 logic gates; each gate can be a logical AND or OR circuit. Assume the probability of a gate failure is p and that the failures are independent. If any gate in the circuit fails, the entire circuit will fail. What should be the value of p so that the probability that the integrated circuit functions is 0.95? 5.
Suppose that there are 3 possible states of the weather in the fall: "sunny", "cloudy" and "rainy". Suppose that if the weather is sunny on one day, then on the following day it will be sunny with probability 0.4, cloudy with probability 0.3 and rainy with probability 0.3. Moreover, if the weather is cloudy on a given day, then it will never be sunny on the following day, but it might be cloudy again with a probability of 0.8 or rainy with a probability of 0.2. Finally, if the weather is rainy on any given day, it will be sunny on the following day with a probability of 0.2, cloudy with a probability of 0.3 and rainy with a probability of 0.5. a) Write the transition matrix A corresponding to the Markov chain described above. b) On any given day, what is the transition matrix B describing the probabilities of being in the states "sunny", "cloudy" and "rainy" two days from now? c). Explain the interpretation of a mixed state, that is, a vector with all strictly positive coordinates that…
Suppose that there is a white urn containing two white balls and three red balls and there is a red urn containing one white ball and two red balls. An experiment consists of selecting at random a ball from the white urn and then (without replacing the first ball) selecting at random a ball from the urn having the color of the first ball. Find the probability that the second ball is red. The probability of the second ball being red is?

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