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 onysterswill watch the British Open. Of those who watch the British Open, 78% watched the Masterstournament.(a) Using M to denote the event "Watch the Master" and B to denote the event "Watch tneBritish Open", describe the probabilities given in the problem.(b) What is the probability that a randomly selected American watches both the Masters anthe British Open?ho (c) What is the probability that a person watches the British Open if it is known that theywatched 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? Explainusing probabilities.(f) Are watching the Masters and watching the British Open disjoint events? Explain usingprobabilities.50. Explain the difference between independent events and disjoint events using probabilities andsimple examples. ba51. The Pew Research Center finds that the demographic make-up of political parties is changingo drastically through the election cycles. Consider the following summary of education levels amongparty lines.Democrat Republican TotalCollege DegreeNo College DegreeTotal3731686369132100100200(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 collegedegree? 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?

Answered: %3D %3D (a) Find P(AN B). (b) Find…

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

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

Similar questions

If P (A) = 0.6, P (B) =0.5 and P (A U B) = 0.9, find the following probabilities: (a) P (ANB) (b) P (A/B)
Sarah and Thomas are going bowling. The probability that Sarah scores more than 175 is 0.5 , and the probability that Thomas scores more than 175 is 0.1 . Their scores are independent. Round your answers to four decimal places, if necessary. (a) Find the probability that both score more than 175 . (b) Given that Thomas scores more than 175 , the probability that Sarah scores higher than Thomas is 0.4 . Find the probability that Thomas scores more than 175 and Sarah scores higher than Thomas.
J and K are independent events. P(J|K) = 0.6. Find P(J).
A student goes to the library. Let events B= the student checks out a book and D= the student check out a DVD. Suppose that P(B)=0.54 P(D)=0.45 and P(D|B)=0.50 Round each answer to four decimal places. (a) Find P(B′)Enter the exact answer.P(B′)= (b) Find P(D AND B)Enter the exact answer.P(D AND B)= (c) Find P(B|D).Round your answer to three decimal places.P(B|D)= (d) Find P(D AND B′)Enter the exact answer.P(D AND B′)= (e) Find P(D∣B)Enter the exact answer.P(D∣B′)
P(A)=0.55,P(B)=0.58,P(B∪A)=0.86 Find the following probabilities. P(A∩B) = P(B|A) = P(A|B) =