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Solved: Probability from a Sample Space.In use the given

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 42BSC Chapter 4.2

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 42BSC

Probability from a Sample Space.?In use the given sample space or construct the required sample space to find the indicated probability. X-Linked Genetic Disease?Men have XY (or YX) chromosomes and women have XX chromosomes. X-linked recessive genetic diseases (such as juvenile retinoschisis) occur when there is a defective X chromosome that occurs?without?a paired X chromosome that is good. In the following, represent a defective X chromosome with lowercase x, so a child with the xY or Yx pair of chromosomes will have the disease and a child with XX or XY or YX or xX or Xx will not have the disease. Each parent contributes one of the chromosomes to the child. a.?If a father has the defective x chromosome and the mother has good XX chromosomes, what is the probability that a son will inherit the disease? b.?If a father has the defective x chromosome and the mother has good XX chromosomes, what is the probability that a daughter will inherit the disease? c.?If a mother has one defective x chromosome and one good X chromosome and the father has good XY chromosomes, what is the probability that a son will inherit the disease? d.?If a mother has one defective x chromosome and one good X chromosome and the father has good XY chromosomes, what is the probability that a daughter will inherit the disease?

Step-by-Step Solution:

Step-by-step Solution Step 1 of 4 (a) The list of all the possible pair of chromosomes for a male when a father has a defective x chromosome and the mother has good XX chromosomes is: XY, YX. The size of the sample space is 2. We are concern to determine the probability that a son will inherit the disease and this will happen when a defective chromosome is paired with another defective chromosome. Let this event be denoted by A. And we can see in the sample space that there is no defective chromose paired to another defective chromosome. The number of ways that A will occur is zero, Calculating the probability of A: number if ways A occur P(A)= sample space 0 P(A)= 2= 0 Therefore, the probability that a son will inherit the disease when a father has a defective x chromosome and the mother has good XX chromosomes is 0. It is not possible for a son to inherit the disease. Step 2 of 4 (b) The list of all the possible pair of chromosomes for a female when a father has a defective x chromosome and the mother has good XX chromosomes is: xX, Xx. The size of the sample space is 2. We are concern to determine the probability that a daughter will inherit the disease and this will happen when a defective chromosome is paired with another defective chromosome. Let this event be denoted by B. And referring to the sample space, B can occur in two ways. Calculating the probability of B: number if ways A occur P(B)= sample space P(B)= 22= 1 Therefore, the probability that a daughter will inherit the disease when a father has a defective x chromosome and the mother has good XX chromosomes is 1. A daughter will definitely inherit the disease in this case.

Step 3 of 4

Chapter 4.2, Problem 42BSC is Solved
Step 4 of 4

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

Elementary Statistics was written by and is associated to the ISBN: 9780321836960. The answer to “Probability from a Sample Space.?In use the given sample space or construct the required sample space to find the indicated probability. X-Linked Genetic Disease?Men have XY (or YX) chromosomes and women have XX chromosomes. X-linked recessive genetic diseases (such as juvenile retinoschisis) occur when there is a defective X chromosome that occurs?without?a paired X chromosome that is good. In the following, represent a defective X chromosome with lowercase x, so a child with the xY or Yx pair of chromosomes will have the disease and a child with XX or XY or YX or xX or Xx will not have the disease. Each parent contributes one of the chromosomes to the child. a.?If a father has the defective x chromosome and the mother has good XX chromosomes, what is the probability that a son will inherit the disease? b.?If a father has the defective x chromosome and the mother has good XX chromosomes, what is the probability that a daughter will inherit the disease? c.?If a mother has one defective x chromosome and one good X chromosome and the father has good XY chromosomes, what is the probability that a son will inherit the disease? d.?If a mother has one defective x chromosome and one good X chromosome and the father has good XY chromosomes, what is the probability that a daughter will inherit the disease?” is broken down into a number of easy to follow steps, and 226 words. This full solution covers the following key subjects: chromosome, Chromosomes, disease, good, Probability. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. Since the solution to 42BSC from 4.2 chapter was answered, more than 1443 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 42BSC from chapter: 4.2 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM.

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