7. ABCD

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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47. ABCD
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
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
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