1. Using the probability of a mouse having the agouti gene is 3/4, find the following probabilities. You mayassume having the agouti gene is independent amongst mice.(a) Exactly 3 out of 4 offspring are agouti.(b) Exactly 30 out of 40 offspring are agouti.(c) Exactly 300 out of 400 offspring are agouti.(d) What is the expected number and variance in the number of agouti mice in each of the above popula-tions?

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Answered: 1. Using the probability of a mouse…

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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A device can fail in four different ways with probabilities T1= 0.5, T2 = 0.1, T3 = 0.1, and 14 = 0.3. Suppose there are 10 devices that fail independently of one another. What is the probability of 3 failures of the first kind, 2 of the second, 1 of the third, and 4 of the fourth?
In a remote jungle village the probability of a child contracting malaria is .45 the probability of contracting measles is.65 and the probability of contracting both is .20 What is the probability of a child contracting malaria or measles?
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
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
The probability that a student at a university is a male is 0.48, that a student is a business major is 0.14 and that a student is a male and a business major is 0.06. Find the probability that a randomly selected student from this university (a) is a male or business major. (b) is a male given that he is a business major. (c) is either a male or a business major but not both. (d) is neither male nor business major. (e) Are male and business major independent events?
In a certain town, 20% of the population owns a car, 30% owns a bicycle, and 50% owns neither. If a resident of the town is selected at random, what is the probability that they own both a car and a bicycle? Is it possible for the probability to be negative or greater than 1? How would the probabilities change if the town's population was doubled while keeping the same proportions of car and bicycle ownership?
The probability of a snowstorm on Thanksgiving is 0.40 and the probability of a snowstorm on Christmas is 0.90. Assuming that these two events are independent, what is the probability of snowstorms on both Thanksgiving and Christmas?
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.)
HI! HELP ME WITH THIS PLEASE. THANK YOU VERY MUCH! The following hybrids are produced when white snowy owls are mated with brown barn owls: white barn owls, brown snowy owls, white snowy owls, and brown barn owls. The probabilities for each are 1/5, ¼, 9/20, and 1/10, respectively. If 9 owls are selected from this batch, find the probability that 2 are brown barn owls, 3 are white snowy owls, 1 is a brown snowy owl, and 3 are white barn owls.
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The probability that a person who identifies as male will be color-blind is 0.036. Find the probabilities that in a group of 54 people who identify as male, the following will be true. (a) Exactly 5 are color-blind. (b) No more than 5 are color-blind. (c) At least 1 is color-blind.
An airline claims that there is a 0.10 probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight. This outcome is independent from flight to flight. Sam is a frequent flier who always purchases coach-class tickets. What is the probability that Sam’s first upgrade will occur after the third flight? What is the probability that Sam will be upgraded exactly 2 times in his next 20 flights? Sam will take 104 flights next year. Would you be surprised if Sam receives more than 20 upgrades to first class during the year? Justify your answer.

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