48. Can two events A andB be independent of one another and disjoint? Explain what conditions are needed for this to happen.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Q48
drastically through the election cycles. Consider the following summary of education levels among
(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?
(e) What is the probability that a randomly selected particina
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 andB 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.
00. Explain the difference between independent events and disjoint events using probabilities and
simple examples.
dro w Research Center finds that the demographic make-up of political parties is changing
party lines.
Republican Total
68
Democrat
College Degree
No College Degree
Total
37
31
63
69
132
100
100
200
degree?
(d) Of thom who have collr
(e) What in the-
(1) Are
Transcribed Image Text:drastically through the election cycles. Consider the following summary of education levels among (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? (e) What is the probability that a randomly selected particina 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 andB 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. 00. Explain the difference between independent events and disjoint events using probabilities and simple examples. dro w Research Center finds that the demographic make-up of political parties is changing party lines. Republican Total 68 Democrat College Degree No College Degree Total 37 31 63 69 132 100 100 200 degree? (d) Of thom who have collr (e) What in the- (1) Are
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