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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
Please answer this, Thank you! Note: Page six(6) that are mentioned in the question D can be found in the 2nd photo.
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: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
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Research Design Formulation
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