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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?

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?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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49 a, b, c please :)

HW 6 Explan why or why not using probabilities. (d) Are A and B disjoint events? Explain why or why not using probabilities. di od 01 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 watch the British Open, 78% watched the Masters tournament. sis anuostro bad / () (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. 1607 (97 (b) What is the probability that a randomly selected American watches both the Masters and the British Open? bon (c) What is the probability that a person watches the British Open if it is known that they watched the Masters tournament? Haeun our boblary (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. olna (f) Are watching the Masters and watching the British Open disjoint events? Explain using probabilities. testidadong silf at tsd W (s) 50. Explain the difference between independent events and disjoint events using probabilities and simple examples. Juidados de t 920 odd el tedW.
Transcribed Image Text:HW 6 Explan why or why not using probabilities. (d) Are A and B disjoint events? Explain why or why not using probabilities. di od 01 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 watch the British Open, 78% watched the Masters tournament. sis anuostro bad / () (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. 1607 (97 (b) What is the probability that a randomly selected American watches both the Masters and the British Open? bon (c) What is the probability that a person watches the British Open if it is known that they watched the Masters tournament? Haeun our boblary (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. olna (f) Are watching the Masters and watching the British Open disjoint events? Explain using probabilities. testidadong silf at tsd W (s) 50. Explain the difference between independent events and disjoint events using probabilities and simple examples. Juidados de t 920 odd el tedW.
Expert Solution
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Here the given information is 

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.

We know that,

P(A n B) = P(A)*P(B)

P(A|B) = (P(B n A))/P(B)

 

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