%3D %3D (a) Find P(AN B). (b) Find P(A|B). (d) Ar e 4 ond R disioint ou onte? ueing probabilities.

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110
(a) Find P(An B).
(b) Find P(A|B).
(d) Are A and B disjoint events? Explain why or why not using probabilities.
are needed for this to happen.
49. It is estimated that 63% of Americans will watch the Masters golf tournament and onysters
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 Master" and B to denote the event "Watch tne
British Open", describe the probabilities given in the problem.
(b) What is the probability that a randomly selected American watches both the Masters an
the British Open?
ho (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. ba
51. The Pew Research Center finds that the demographic make-up of political parties is changing
o drastically through the election cycles. Consider the following summary of education levels among
party lines.
Democrat Republican Total
College Degree
No College Degree
Total
37
31
68
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? 98 abnes
(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?
Transcribed Image Text:110 (a) Find P(An B). (b) Find P(A|B). (d) Are A and B disjoint events? Explain why or why not using probabilities. are needed for this to happen. 49. It is estimated that 63% of Americans will watch the Masters golf tournament and onysters 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 Master" and B to denote the event "Watch tne British Open", describe the probabilities given in the problem. (b) What is the probability that a randomly selected American watches both the Masters an the British Open? ho (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. ba 51. The Pew Research Center finds that the demographic make-up of political parties is changing o drastically through the election cycles. Consider the following summary of education levels among party lines. Democrat Republican Total College Degree No College Degree Total 37 31 68 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? 98 abnes (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?
Expert Solution
Step 1

We have given that 

A and B are two events with 

P(A)=0.36,

P(B)=0.48,

and P(A or B)= 0.60.

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