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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Sickle cell anemia is an inherited disease in which red blood cells become distorted and deprived of oxygen. A person with two sickle cell genes will have the disease, but a person with only one sickle cell gene will have a mild, non-fatal anemia called sickle cell trait. Using S to represent a healthy gene, and s the sickle cell gene, the table shows the four possibilities for the children of two Ss parents. Find the probability that these parents give birth to a child who is healthy. That is, the child does not have the disease or trait. P(child is healthy) = (Type an integer or a simplified fraction.) First Parent S S Second Parent S S Ss SS SS SS
The local weather forecaster predicts that there is a 12% chance of rain on each day next week. Assuming his prediction is accurate and that the chance of rain in a given day does not depend on the chance of rain in a different day, what is the probability it will rain on at least 4 of the days next week?
A geological study indicates that an exploratory oil well drilled in a particular regionshould strike oil with probability 0.2. Find the probability that the third oil strike comeon the fifth well drilled.
Events A and B are independent. The probability of eventAA occurring is 0.64. The probability of events AA and BB occurring together is 0.24. What is the probability of event B? Enter your answer, to the nearest thousandth.
Sickle cell anemia is an inherited disease in which red blood cells become distorted and deprived of oxygen. A person with two sickle cell genes will have the disease, but a person with only one sickle cell gene will have a mild, non- fatal anemia called sickle cell trait. Using S to represent a healthy gene, and s the sickle cell gene, the table shows the four possibilities for the children of two Ss parents. Find the probability that these parents give birth to a child who is healthy. That is, the child does not have the disease or trait. Second Parent First SS Ss Parent sS SS P(child is healthy)=D\ | (Simplify your answer.) Enter your answer in the answer box. 5:16 PM 9 Type here to search 99 81 F A G 7/18/2021 20 DELL Esc F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 PrtScr Insert Delete PgUp PgDn Home End 2$ & Num Lock 1 3 4 7 Backspace Tab E T Y ock A S D K Enter N 2 Shift P * 00 Σ
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%.
Sickle cell anemia is an inherited disease in which red blood cells become distorted and deprived of oxygen. A person with two sickle cell genes will have the disease, but a person with only one sickle cell gene will have a mild, non-fatal anemia called sickle cell trait. Using S to represent the sickle cell gene, and s a healthy gene, the table shows the four possibilities for the children of two Ss parents. Find the probability that these parents give birth to a child who has sickle cell anemia. Second Parent First Parent Ss sS P(child has sickle cell anemia) =| (Type an integer or a simplified fraction.)
In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and 2500 smokers of more than one pack per day. During any month, there is a 5% probability that a nonsmoker will begin smoking a pack or less per day, and a 4% probability that a nonsmoker will begin smoking more than a pack per day. For smokers who smoke a pack or less per day, there is a 10% probability of quitting and a 10% probability of increasing to more than a pack per day. For smokers who smoke more than a pack per day, there is a 9% probability of quitting and a 10% probability of dropping to a pack or less per day. How many people will be in each group in 1 month, in 2 months, and in 1 year? (Round your answers to the nearest whole number.)(a) in 1 month:nonsmokers:1 pack/day or less:more than 1 pack/day:(b) in 2 months:nonsmokers:1 pack/day or less:more than 1 pack/day:(c) in 1 year:nonsmokers:1 pack/day or less:more than 1 pack/day:
Consider the number of blocks on the master file that are read before the first block is updated. Each day, the transaction file is run against the master file and approximately 4% of master blocks are updated. If 10 blocks were read without needing to be updated, what is the probability that the first update will occur in the 14th block? Question 4 options: a 0.729 b 0.0354 c 0.271 d 0.0233
A newspaper sports reporter has a 58% accuracy for predicting the winners in NHL hockey games. A radio sports reporter has a 65% accuracy for predicting the winners. For a particular game, what is the probability that at least one of these reporters will make a correct prediction?
In an inspection of automobiles in a certain Country, 60% of all automobiles had emissions that did not meet EPA regulations. For a random sample of 10 automobiles, compute the following probabilities: a. All 10 automobiles failed the inspection. b. Exactly 6 of the 10 failed the inspection. c. Six or more failed the inspection. d. All 10 passed the inspection.

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