Consider a branching process where the individuals reproduce accordingto the following pattern:# of children0 1 2probability6.Individuals reproduce independently of each other and independently ofthe number of their sisters and brothers. Determine(a) the probability that the population becomes extinct;(b) the probability that the population has become extinct in the secondgeneration;(c) the expected number of children given that there are no grandchildren.

Answered: Image /qna-images/answer/94a59a94-7897-4146-bbfd-4ee6bc5213cb.jpg

Answered: Consider a branching process where the…

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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Observations of a river that is subject to flooding have been carried out over a 100 year period. The number of floods that have occurred per year are given in the following table. Number of years 30 35 22 10 0 Number of floods 0 1 2 3 4 Determine the probability of flooding for the next fifty years.
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
Determine whether the event described are independent or dependent. Then find the probability of the event Randomly drawing and immediately eating three red M&Ms in a row from a bag that contains 10 red M&Ms out of 30 M&Ms total
Based on a survey, assume that 33% of consumers are comfortable having drones deliver their purchases. Suppose we want to find the probability that when six consumers are randomly selected, exactly three of them are comfortable with the drones. What is wrong with using the multiplication rule to find the probability of getting three consumers comfortable with drones followed by three consumers not comfortable, as in this calculation: (0.33)(0.33)(0.33)(0.67)(0.67)(0.67) = 0.0108? Choose the correct answer below. A. The event that a consumer is comfortable with drones is not mutually exclusive with the event that a consumer is not comfortable with drones. B. The probability of the second consumer being comfortable with drones cannot be treated as being independent of the probability of the first consumer being comfortable with drones. O C. There are other arrangements consisting of three consumers who are comfortable and three who are not. The probabilities corresponding to those other…
A physics class has 50 students. Of these, 11 students are physics majors and 16 students are female. Of the physics majors, three are female. Find the probability that a randomly selected student is female or a physics major. The probability that a randomly selected student is female or a physics major is (Round to three decimal places as needed.) ******************
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.)
Assume that when an adult is randomly selected, the probability that they do not require vision correction is 18%. If 7 adults are randomly selected, find the probability that exactly 2 of them do not require a vision correction. if adults are randomly selected the probability that exactly 2 of them do not require a vision correction is _________. (ROUND TO THREE DECIMAL PLACES AS NEEDED)
Assume that the batter hits with probability 0.2 against left-handed pitchers, and with probability 0.3 against right-handed pitchers. Both situations are Bernoulli processes. One month the player bats 22 times against left-handed pitchers and 52 times against right-handed pitchers. How many hits should the batter expect to get during this month?
The genotype of an organism can be either normal (wild type, W) or mutant (M). Each generation, a wild type individual has probability 0.03 of having a mutant offspring, and a mutant has probability 0.005 of having a wild type offspring.
A certain disease has a prevalence of in a population. The rate of false 4 positives is 10% and and the rate of false negatives is 5%. If you are exposed to the disease, then probability that you contract it is . You can only contract the disease by sharing food. Suppose that you meet 10 people, that each person tests negative for the disease, and that you share food with each of them exactly three times. What is the probability that you contract the disease?
5c The genotype of an organism can be either normal (wild type, W) or mutant (M). Each generation, a wild type individual has probability 0.03 of having a mutant offspring, and a mutant has probability 0.005 of having a wild type offspring. Calculate the probability of a string of the following genotypes in successive generations: WWW.
A survey of randomly selected 10000 college faculty members shows that 50% of the faculty own a car, 25% own a bicycle, and 9% own both. Find the probability that a faculty member chosen at random owns a car or a bicycle (or both).

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