Homework Help is Here – Start Your Trial Now!
Math
Statistics
C. In page 6 of this lesson, we gave an example that included a list of the eight outcomes that are possible when a couple has three children. Refer to that list, and find the probability of each event. _11. Among three children, there is exactly one girl. _12. Among three children, there are exactly two girls.

C. In page 6 of this lesson, we gave an example that included a list of the eight outcomes that are possible when a couple has three children. Refer to that list, and find the probability of each event. _11. Among three children, there is exactly one girl. _12. Among three children, there are exactly two girls.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
Please answer this, Thank You! Note: Page 6 was mentioned in the Activity C, you can find that in the second picture.
C. In page 6 of this lesson, we gave an example that included a list of the eight outcomes that are possible when a couple has three children. Refer to that list, and find the probability of each event. _11. Among three children, there is exactly one girl. _12. Among three children, there are exactly two girls. D. Page 6 of this lesson included a table summarizing the gender outcomes for a couple planning to have three children. _13. Construct a similar table for a couple planning to have two children. 14. Assuming that the outcomes listed are equally likely, find the probability of getting two girls. _15. Find the probability of getting exactly one child of each gender.
Transcribed Image Text:C. In page 6 of this lesson, we gave an example that included a list of the eight outcomes that are possible when a couple has three children. Refer to that list, and find the probability of each event. _11. Among three children, there is exactly one girl. _12. Among three children, there are exactly two girls. D. Page 6 of this lesson included a table summarizing the gender outcomes for a couple planning to have three children. _13. Construct a similar table for a couple planning to have two children. 14. Assuming that the outcomes listed are equally likely, find the probability of getting two girls. _15. Find the probability of getting exactly one child of each gender.
EXAMPLE: On an ACT or SAT test, a typical question has 5 possible answers. If an examinee makes random guess on one such question, what is the probability that the response is wrong? SOLUTION: There are 5 possible outcomes or answers, and there are 4 ways to answer incorrectly. Random guessing implies that the outcomes are equally likely, so we apply the classical approach to get 4 P(wrong answer) = = = 0.8 EXAMPLE: Find the probability that when a couple has 3 children, they will have exactly 2 boys. Assume that boys and girls are equally likely and that the gender of any child is not influenced by the gender of any other child. SOLUTION: The biggest obstacle here is correctly identifying the sample space. It involves more than working only with the numbers 2 and 3 that were given in the statement of the problem. The sample space consists of 8 different ways that 3 children can occur, and we list them in the margin. Those 8 outcomes are equally likely, so we use Rule 2. Of those 8 different possible outcomes, 3 correspond to exactly 2 boys, so 1st 2nd 3rd boy-boy-boy boy-boy-girl eхаctly + boy-girl-boy 2 boys boy-girl-girl girl-boy-boy girl-boy-girl girl-girl-boy girl-girl-girl P(2 boys in 3 births) = 3 = 0.375 INTERPRETATION: There is a 0.375 probability that if a couple has 3 children, exactly 2 will be boys.
Transcribed Image Text:EXAMPLE: On an ACT or SAT test, a typical question has 5 possible answers. If an examinee makes random guess on one such question, what is the probability that the response is wrong? SOLUTION: There are 5 possible outcomes or answers, and there are 4 ways to answer incorrectly. Random guessing implies that the outcomes are equally likely, so we apply the classical approach to get 4 P(wrong answer) = = = 0.8 EXAMPLE: Find the probability that when a couple has 3 children, they will have exactly 2 boys. Assume that boys and girls are equally likely and that the gender of any child is not influenced by the gender of any other child. SOLUTION: The biggest obstacle here is correctly identifying the sample space. It involves more than working only with the numbers 2 and 3 that were given in the statement of the problem. The sample space consists of 8 different ways that 3 children can occur, and we list them in the margin. Those 8 outcomes are equally likely, so we use Rule 2. Of those 8 different possible outcomes, 3 correspond to exactly 2 boys, so 1st 2nd 3rd boy-boy-boy boy-boy-girl eхаctly + boy-girl-boy 2 boys boy-girl-girl girl-boy-boy girl-boy-girl girl-girl-boy girl-girl-girl P(2 boys in 3 births) = 3 = 0.375 INTERPRETATION: There is a 0.375 probability that if a couple has 3 children, exactly 2 will be boys.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

A couple has four children . Find the probability that there are exactly two boys and two girls

Solution
Bartleby Expert
SEE SOLUTION
Knowledge Booster
Paths and Circuits
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS