7.5 Topic 5: Probability 39. A family wants to have two children. The children can either be male or female. What is the sample space for this experiment? (The order in which the couple has children does matter to the parents.) 40. Let the sample space S of a random experiment be the numbers 1 through 10. So, S = {1,2, 3, 4, 5, 6, 7,8, 9, 10}. Define events A, B, and C as follows. A: {1,2,3,5,6,7,8,9} B: { 2,4,5,7,9 } {1,2,3,4,5} C: (a) What outcomes are in the event AN B? (b) What outcomes are in the event BUC? (c) What outcomes are in the event C'? (d) Are the events An B and BnA the same? Why? (e) Are the events BUC and CUB the same? Why? 41. A survey of 100 male students and 100 female students regarding their favorite Mexican food restaurant yielded the results given below. Gender Chipotle Moe's Salsaritas Qʻdoba Male 20 35 38 17 13 Female 30 40 dadeng (a) What is the probability that a respondent is male? (b) What is the probability that a respondent likes Q'doba? (c) What is the probability that a respondent likes Salsaritas and is female? (d) What is the probability that a respondent likes Salsaritas or is female? 42. Consider two disjoint (or mutually exclusive) events A and B. If P(A) = 0.7 and P(B) = 0.2, find P(AUB). %3D %3D 43. Consider two disjoint (or mutually exclusive) events A and B with P(A) = 0.7 and P(B) = 0.4. Are these probabilities correctly assigned? (Hint: Calculate P(AUB).) %3D %3D 44. Suppose P(A) = 0.60 and P(B) = 0.7. Can events A, B be disjoint? %3D %3D 45. It is estimated that 63% of Americans will watch the Masters golf tournament and only 48% will watch the British Open. If it is estimated that 37% of Americans will watch both tournaments, what is the probability that they will watch at least one of the golf tournaments? 46. Consider drawing two cards from a regular deck of cards (52 cards total, 4 suits, 13 cards in each suit). What is the probability that you draw two Aces if the cards are drawn (a) With replacement? (b) Without replacement?

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

Number 41 part D and Number 45. 

7.5
Topic 5: Probability
39. A family wants to have two children. The children can either be male or female. What is the
sample space for this experiment? (The order in which the couple has children does matter to
the parents.)
40. Let the sample space S of a random experiment be the numbers 1 through 10. So, S =
{1,2, 3, 4, 5, 6, 7,8, 9, 10}. Define events A, B, and C as follows.
A:
{1,2,3,5,6,7,8,9}
B: { 2,4,5,7,9 }
{1,2,3,4,5}
C:
(a) What outcomes are in the event AN B?
(b) What outcomes are in the event BUC?
(c) What outcomes are in the event C'?
(d) Are the events An B and BnA the same? Why?
(e) Are the events BUC and CUB the same? Why?
41. A survey of 100 male students and 100 female students regarding their favorite Mexican food
restaurant yielded the results given below.
Gender Chipotle Moe's Salsaritas Qʻdoba
Male
20
35
38
17
13
Female
30
40
dadeng
(a) What is the probability that a respondent is male?
(b) What is the probability that a respondent likes Q'doba?
(c) What is the probability that a respondent likes Salsaritas and is female?
(d) What is the probability that a respondent likes Salsaritas or is female?
42. Consider two disjoint (or mutually exclusive) events A and B. If P(A) = 0.7 and P(B) = 0.2,
find P(AUB).
%3D
%3D
43. Consider two disjoint (or mutually exclusive) events A and B with P(A) = 0.7 and P(B) = 0.4.
Are these probabilities correctly assigned? (Hint: Calculate P(AUB).)
%3D
%3D
44. Suppose P(A) = 0.60 and P(B) = 0.7. Can events A, B be disjoint?
%3D
%3D
45. It is estimated that 63% of Americans will watch the Masters golf tournament and only 48% will
watch the British Open. If it is estimated that 37% of Americans will watch both tournaments,
what is the probability that they will watch at least one of the golf tournaments?
46. Consider drawing two cards from a regular deck of cards (52 cards total, 4 suits, 13 cards in each
suit). What is the probability that you draw two Aces if the cards are drawn
(a) With replacement?
(b) Without replacement?
Transcribed Image Text:7.5 Topic 5: Probability 39. A family wants to have two children. The children can either be male or female. What is the sample space for this experiment? (The order in which the couple has children does matter to the parents.) 40. Let the sample space S of a random experiment be the numbers 1 through 10. So, S = {1,2, 3, 4, 5, 6, 7,8, 9, 10}. Define events A, B, and C as follows. A: {1,2,3,5,6,7,8,9} B: { 2,4,5,7,9 } {1,2,3,4,5} C: (a) What outcomes are in the event AN B? (b) What outcomes are in the event BUC? (c) What outcomes are in the event C'? (d) Are the events An B and BnA the same? Why? (e) Are the events BUC and CUB the same? Why? 41. A survey of 100 male students and 100 female students regarding their favorite Mexican food restaurant yielded the results given below. Gender Chipotle Moe's Salsaritas Qʻdoba Male 20 35 38 17 13 Female 30 40 dadeng (a) What is the probability that a respondent is male? (b) What is the probability that a respondent likes Q'doba? (c) What is the probability that a respondent likes Salsaritas and is female? (d) What is the probability that a respondent likes Salsaritas or is female? 42. Consider two disjoint (or mutually exclusive) events A and B. If P(A) = 0.7 and P(B) = 0.2, find P(AUB). %3D %3D 43. Consider two disjoint (or mutually exclusive) events A and B with P(A) = 0.7 and P(B) = 0.4. Are these probabilities correctly assigned? (Hint: Calculate P(AUB).) %3D %3D 44. Suppose P(A) = 0.60 and P(B) = 0.7. Can events A, B be disjoint? %3D %3D 45. It is estimated that 63% of Americans will watch the Masters golf tournament and only 48% will watch the British Open. If it is estimated that 37% of Americans will watch both tournaments, what is the probability that they will watch at least one of the golf tournaments? 46. Consider drawing two cards from a regular deck of cards (52 cards total, 4 suits, 13 cards in each suit). What is the probability that you draw two Aces if the cards are drawn (a) With replacement? (b) Without replacement?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Algebraic Operations
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