A large group of mice is kept in a cage having compartments A, B, and C. Mice in compartment A move to B with probability 0.3 and to C with probability 0.4. Mice in Bmove to A or C with probabilities 0.25 and 0.55, respectively. Mice in C move to A or B with probabilities 0.2 and 0.2, respectively. Find the long-range prediction for thefraction of mice in each of the compartments.The long-range prediction for the fraction of mice is in compartment A. in compartment B, and in compartment C.(Type integers or simplified fractions.)

Suppose a large group of mice is kept in a cage having compartments A, B, and C.Mice in compartment…

Answered: A large group of mice is kept in a cage…

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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15%0f cellphone users use their cell phones to access internet. In arandom sample of 10 cellphone users, what is probability that exactly 2 have used their phones to access internet?
Suppose the reliability of a bulb in a projector is 95%. If the bulb fails, the backup bulb can be used. The reliability of this bulb is only 80%. What is the probability that a projector will be useful given the main and the backup bulb? 100% 0.99 O 0.76 O 0.9580
There are seven geologic faults (and possiblymore) capable of generating a magnitude 6.7 earthquake in theregion around San Francisco. Their probabilities of rupturingby the year 2032 are 27%, 21%, 11%, 10%, 4%, 3%, and 3%.Source: Science News.a. Calculate the probability that at least one of these faults erupts by the year 2032, assuming that these are indepen-dent events. b. Scientists forecast a 62% chance of an earthquake withmagnitude at least 6.7 in the region around San Franciscoby the year 2032. Compare this with your answer from parta. Consider the realism of the assumption of independence. Also consider the role of roundoff. For example, the prob-ability of 10% for one of the faults is presumably rounded to the nearest percent, with the actual probability between9.5% and 10.5%.
A study by a reputable research organization found that when presented with prints from the same individual, a fingerprint expert will correctly identify the match 91% of the time. In contrast, a novice will correctly identify the match 77% of the time. Consider a sample of seven different pairs of fingerprints, where each pair is a match. Complete parts a and b below. a. What is the probability that an expert will correctly identify the match in all seven pairs of fingerprints? The probability is enter your response here. (Round to four decimal places as needed.) b. What is the probability that a novice will correctly identify the match in all seven pairs of fingerprints? The probability is enter your response here. (Round to four decimal places as needed.)
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Q. 1 Suppose that 4.5% of all adults over 50 have cancer. A certain physician correctly diagnoses 94% of all adults over 50 with cancer as having the disease and incorrectly diagnoses 4% of all adults over 50 without cancer as having the disease. (i) Draw a tree diagram and label it with appropriate probabilities. (ii) Find the probability that a randomly-selected adult over 50 is diagnosed as not having cancer. (iii) Find the probability that a randomly-selected adult over 50 actually has cancer, given that he/she is diagnosed as not having cancer.
A. 40% B. 42.50% C. 48.50% D. 41.25%
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A student takes a multiple-choice quiz with 5 questions, each with four possible answers and only oneof them is correct. A passing grade is 60% or better (i.e., answering at least 3 of 5 questions correctly).Suppose that the student was unable to find time to study for the exam and just guesses at eachquestion. Find the probabilities for the two events below.i. the student gets exactly 3 questions correct.ii. the student passes the exam
Consider three classes (I, II and III) consisting of 30, 25, and 45 students. Suppose a student is selected from class I, then he has 10% chance to make an A. Assume that these probabilities for the class II and III are 15% and 20% respectively. If a student is selected randomly and has an A, what is the probability that he is from class III. Enter your answer to the nearest FOUR decimal places. 0.5715
1. The picture's river has floodgates at points A, B, C and D. The probabilities of each of the floodgates being open (a requirement for water to pass through) are the following: A: 94%, B : 96%, C: 91%, D: 97% The probabilities of the floodgates being open are independent. What is the probability that the water from the leftmost point in the picture will reach the sea on the right? C D B THE SEAL

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