51. The Pew Research Center finds that the demographic make-up of political parties is changing drastically through the election cycles. Consider the following summary of education levels among party lines. Democrat Republican Total 37 31 68 College Degree No College Degree Total 63 69 132 100 100 200 (a) What is the probability a randomly selected participant has a college degree? (b) What is the probability that a randomly selected participant is a democrat? (c) What is the probability that a randomly selected participant is a democrat and has a college degree? (d) Of those who have college degrees, what is the probability of being a democrat? (e) What is the probability of begin a democrat or having a college degree?
51. The Pew Research Center finds that the demographic make-up of political parties is changing drastically through the election cycles. Consider the following summary of education levels among party lines. Democrat Republican Total 37 31 68 College Degree No College Degree Total 63 69 132 100 100 200 (a) What is the probability a randomly selected participant has a college degree? (b) What is the probability that a randomly selected participant is a democrat? (c) What is the probability that a randomly selected participant is a democrat and has a college degree? (d) Of those who have college degrees, what is the probability of being a democrat? (e) What is the probability of begin a democrat or having a college degree?
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
Question
Q51 ABCDEFG
![110
47. Suppose A and B are two events with P(A) = 0.36, P(B) = 0.48. and the P(A or B) = 0.60.
(a) Find P(An B).
(b) Find P(A|B).
(c) Are A and B independent events? Explain why or why not using probabilities.
(d) Are A and B disjoint events? Explain why or why not using probabilities.
48. Can two events A and B be independent of one another and disjoint? Explain what conditions
are needed for this to happen.
49. It is estimated that 63% of Americans will watch the Masters golf tournament and only 48%
will watch the British Open. Of those who watch the British Open, 78% watched the Masters
tournament.
(a) Using M to denote the event "Watch the Masters" and B to denote the event "Watch the
British Open", describe the probabilities given in the problem.
(b) What is the probability that a randomly selected American watches both the Masters and
the British Open?
(c) What is the probability that a person watches the British Open if it is known that they
watched the Masters tournament?
(d) What is the probability that a person does not watch the British Open?
(e) Are watching the Masters and watching the British Open independent events? Explain
using probabilities.
(f) Are watching the Masters and watching the British Open disjoint events? Explain using
probabilities.
50. Explain the difference between independent events and disjoint events using probabilities and
simple examples.
51. The Pew Research Center finds that the demographic make-up of political parties is changing
drastically through the election cycles. Consider the following summary of education levels among
party lines.
Democrat Republican Total
37
31
68
College Degree
No College Degree
63
69
132
Total
100
100
200
(a) What is the probability a randomly selected participant has a college degree?
(b) What is the probability that a randomly selected participant is a democrat?
(c) What is the probability that a randomly selected participant is a democrat and has a college
degree?
(d) Of those who have college degrees, what is the probability of being a democrat?
(e) What is the probability of begin a democrat or having a college degree?
(f) Are having a college degree and being a democrat disjoint events?
(g) Are having a college degree and being a democrat independent events?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F72a66d9f-f83b-4d06-ba21-239b9e559cfa%2F1f78c30f-a4e0-4c8e-8db5-058cff26e8ee%2F6ofppbpo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:110
47. Suppose A and B are two events with P(A) = 0.36, P(B) = 0.48. and the P(A or B) = 0.60.
(a) Find P(An B).
(b) Find P(A|B).
(c) Are A and B independent events? Explain why or why not using probabilities.
(d) Are A and B disjoint events? Explain why or why not using probabilities.
48. Can two events A and B be independent of one another and disjoint? Explain what conditions
are needed for this to happen.
49. It is estimated that 63% of Americans will watch the Masters golf tournament and only 48%
will watch the British Open. Of those who watch the British Open, 78% watched the Masters
tournament.
(a) Using M to denote the event "Watch the Masters" and B to denote the event "Watch the
British Open", describe the probabilities given in the problem.
(b) What is the probability that a randomly selected American watches both the Masters and
the British Open?
(c) What is the probability that a person watches the British Open if it is known that they
watched the Masters tournament?
(d) What is the probability that a person does not watch the British Open?
(e) Are watching the Masters and watching the British Open independent events? Explain
using probabilities.
(f) Are watching the Masters and watching the British Open disjoint events? Explain using
probabilities.
50. Explain the difference between independent events and disjoint events using probabilities and
simple examples.
51. The Pew Research Center finds that the demographic make-up of political parties is changing
drastically through the election cycles. Consider the following summary of education levels among
party lines.
Democrat Republican Total
37
31
68
College Degree
No College Degree
63
69
132
Total
100
100
200
(a) What is the probability a randomly selected participant has a college degree?
(b) What is the probability that a randomly selected participant is a democrat?
(c) What is the probability that a randomly selected participant is a democrat and has a college
degree?
(d) Of those who have college degrees, what is the probability of being a democrat?
(e) What is the probability of begin a democrat or having a college degree?
(f) Are having a college degree and being a democrat disjoint events?
(g) Are having a college degree and being a democrat independent events?
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