5. (Contingency Table) The following table identifies a group of children by one of four hair colors, and by the type of hair. Hair Color Brown Blond Black Red Totals Hair Type Wavy 20 35 15 3 43 Straight 80 15 65 12 172 Totals 100 20 80 15 215 (a) Complete the table. (b) What is the probability that a randomly selected child will have wavy hair? 0.2000 (c) What is the probability that a randomly selected child will have either brown or blond hair? 0.5581 (d) What is the probability that a randomly selected child will have wavy brown (i.e. wavy and brown) hair? 0.0930 (e) What is the probability that a randomly selected child will have red hair, given that he or she has straight hair? 0.0698 (f) If B is the event of a child having brown hair, find the probability of the complement of B, i.e. P(B'). (e) In words, what does the complement of B represent?

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

PART 5 (f and g)

5. (Contingency Table) The following table identifies a group of children by one of four hair colors, and by the type of hair.
Hair Color
Brown
Blond
Black
Red
Totals
Hair Type
Wavy
20
35
15
3
43
Straight
80
15
65
12
172
Totals
100
20
80
15
215
(a) Complete the table.
(b) What is the probability that a randomly selected child will have wavy hair?
0.2000
(c) What is the probability that a randomly selected child will have either brown or blond hair?
0.5581
(d) What is the probability that a randomly selected child will have wavy brown (i.e. wavy and brown) hair?
0.0930
(e) What is the probability that a randomly selected child will have red hair, given that he or she has straight hair?
0.0698
(f) If B is the event of a child having brown hair, find the probability of the complement of B, i.e. P(B').
(e) In words, what does the complement of B represent?
Transcribed Image Text:5. (Contingency Table) The following table identifies a group of children by one of four hair colors, and by the type of hair. Hair Color Brown Blond Black Red Totals Hair Type Wavy 20 35 15 3 43 Straight 80 15 65 12 172 Totals 100 20 80 15 215 (a) Complete the table. (b) What is the probability that a randomly selected child will have wavy hair? 0.2000 (c) What is the probability that a randomly selected child will have either brown or blond hair? 0.5581 (d) What is the probability that a randomly selected child will have wavy brown (i.e. wavy and brown) hair? 0.0930 (e) What is the probability that a randomly selected child will have red hair, given that he or she has straight hair? 0.0698 (f) If B is the event of a child having brown hair, find the probability of the complement of B, i.e. P(B'). (e) In words, what does the complement of B represent?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 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.
Similar questions
  • SEE MORE QUESTIONS
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