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} C: {1,2,3,4,5} %3D (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?
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} C: {1,2,3,4,5} %3D (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?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
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Question
Q40 ABCDE

Transcribed Image Text:109
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 }
C: {1,2,3,4,5}
(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 ANB 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 fooc
restaurant yielded the results given below.
Gender Chipotle Moe's Salsaritas Q'doba
Male
38
35
20
7
Female
40
30
13
17
(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.
find P(AUB).
43. Consider two disjoint (or mutually exclusive) events A and B with P(A) = 0.7 and P(B) = 0.
Are these probabilities correctly assigned? (Hint: Calculate P(AU B).)
Con ovonts A R be disioint?
Expert Solution

Step 1 Introduction:
Sample Space (SS): The total number of possible outcomes of an event is called Sample Space and it is denoted by S.
Union: The Union of set contains all the elements from the both the events and it is denoted by the symbol ' U '.
Intersection: The Intersection of set contains only the common elements from the both the events and it is denoted by the symbol ''.
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