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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You have three red cards numbered 1,2,3 and two orange cards numbered 1,2. Finding the following probabilities
Q. 2 A car dealer notes the following probabilities about his customers: P(those who buy a new car) = 0.25 P(those who buy a European car) = 0.30 P(those who neither buy a new car nor an European car) = 0.54 Find the probability that next customer buys a new European car?
Hamza comes to office located in Islamabad through different modes of transport. From his past data, it is known that the probability of him coming through car, bus, motorbike and rickshaw are respectively 31 1 ,2 10'5'10 1 1 ,and -and- 5 The probabilities that he will arrive to his office late are if he comes by car, bus and motorbike. Interestingly, he will not be late if he comes by rickshaw. Suppose, he arrives late on Friday. What is the probability that he came by car?
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?
Q. 2 A car dealer notes the following probabilities about his customers: P(those who buy a new car ) = 0.25 P(those who buy a European car) = 0.30 P(those who neither buy a new car nor an European car ) = 0.58 Find the probability that next customer buys a new European car?
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.)
A circuit operates as long as there is a functional path, which does not include any dysfunctional (broken) switches on its path, between 1 and 2. The probabilities that the switches A, B, and Y are not functioning or broken (Failure, F) are 12%, (22)%, and (13)%, respectively (as shown in the figure below). The switches function independently. What is the probability that the circuit operates successfully (Success, S) from 1 to 2?
The probabilities are 0.4, 0.2 and 0.3 and 0.1, respectively, that a student uses LAN,Wifi, Prepaid Data, or Hotspot for internet connection. What is the probability thatamong 10 randomly selected students, 2 use LAN, 4 use Wifi, 3 use prepaid data,and 1 uses Hotspot for their internet connection?
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.
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.

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