At noon, 80% of all KSU students are on the Kennesaw campus, and 20% are on the Mariettacampus. Over the next hour, they move from campus to campus in the following way:• A student on the Kennesaw campus has a chance of staying on the same campus, and achance of going to the Marietta campus.• A student on the Marietta campus has a chance of staying on the same campus, and achance of going to the Kennesaw campus.Suppose we choose a KSU student uniformly at random. What is the probabilitythat this student is on the Marietta campus at 1 PM (after the movement described above isdone)?Suppose that at 1 PM, we choose a uniformly random student who is on the Mariettacampus at that time. What is the probability that the chosen student was on the Kennesaw campusat noon?Suppose we choose a KSU student uniformly at random. What is the probability thatthis student stayed on the same campus from noon to 1 PM?

here define events , At noon, 80% of all KSU students are on the Kennesaw campus, and 20% are on…

Answered: Suppose we choose a KSU student…

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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Assume that the class contains of 25 percent freshmen, 30 percent sophomores, 25 percent juniors, and 20 percent seniors. Assume further that 55 percent of the freshmen, 30 percent of the sophomores, 35 percent of the juniors, and 25 percent of the seniors plan to go to medical school. One student is selected at random from the class. 1. What is the probability that the student plans to go to medical school? 2. If the student plans to go to medical school, what is the probability that he is a sophomore?
A box contains N coins, m of which are fair and the rest are biased. The probability of getting a head when a fair coin is tossed is 1/2, while it is 2/3 when a biased coin is tossed. A coin is drawn from the box at random and is tossed twice. The first time it shows head and the second time it shows tail. What is the probability that the coin drawn is fair?
Suppose that there is a white urn containing two white balls and three red balls and there is a red urn containing two white balls and four 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.
Suppose that there is a white urn containing three white balls and one red ball and there is a red urn containing two white balls and four 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.
2. A large population of crickets contains 30% who can chirp. Suppose 4 crickets are selected at random from this population, find the probability that (a) all can chirp, (b) at least one can chirp, and (c) exactly 2 can chirp.
Suppose that it is known that in a certain large population, 10 percent of the population is color blind. If a random sample of 25 people is drawn from the population, find the probability that exactly 8 of them are color blind.
The number of girls and boys enrolled for different majors in a community college are as follows. There are a total of 535 girls and 500 boys. 150 girls and 120 boys are majoring in Biology. 100 girls and 100 boys are majoring in Chemistry. 110 girls and 130 boys are majoring in Statistics. 175 girls and 150 boys are majoring in Medicine. Construct a contingency table with this information. Select a student at random. What is the probability that the student is Chemistry major given that it is a girl?
In a group of 25 people, a person tells a rumor to a second person, who in turn tells it to a third person, and so on. Each person tells the rumor to just one of the people chosen at random, excluding the person from whom he/she heard the rumor. The rumor is told 10 times. What is the probability that the rumor will not return to the originator?
The letters A,H,I,M,O,T,U,V,W,X and Y are all mirror images of themselfs. A string made of these letters will be a mirror image of themselves if it reads the same backward as forward. for example, MOM, YUMMY,MOTHTOM, if a four letter string in these letters is chosen at random, what is the probability that the string is a mirror image of itself?
A subcommittee is to be selected from a committee of men and women. For this problem, assume that there are 8 men and 5 women on the committee, and that a subcommittee of 3 is selected at random. What is the probability that all are male given that all are the same sex?

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