MacBook Air Spring 201S InstructorK.Lim 1. Of the last 100 customers entering a

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MacBook Air Spring 201S InstructorK.Lim 1. Of the last 100 customers entering a computer shop, 40 have purchased a computer. If the classical method for computing probability is used. the probability that the nest customer will purchase a computer is 2 Of the last 100 customers entering a computer shop. 40 have purchased a computer. If the relative frequency method is used, the prnobability that the next customer will purchase a computer is 3. The probability that S& P 500 Stock Index w ill be above 2500 sometimes during the next y ear is an example of a prior probability b. empirical probabilit third erial is lfa six-sided fair die is rolled two tines and 2 shows up both times, the probability ofa 2 onthe iraand Bare independent events with Pa)-o02 and ns-067, then RaiS) is During the first three semesters of studies, 82% of the UT COBI students take BUAD 2040, 60% 2060, and 89% take at least one or the two courses. What is the probability that a randomly student takes both these courses during hisher first three semesters? During the first three semesters of studies, 88% of the UCCOBA students take ACCT 1.7 5, 6. take BUAD selected UT COBL 5% take both ACCTI probability that a randomly selected UC 7. COBA student takes STATI during his her first three semesters? S. Bayes" theorem is used to compute 9. Forty two percent of the students w ho enroll in a statistics course go to the statistics laboratory (on a regular On the other basis. Past data indicates that 65% of those students who use the lab make at least B in the course. hand, only 10%ofstudents who do not go to the lab make at least B. Ifaparticular student made at least B, w hat is the probability that she or he used the lab? Let B-getting at least B.A -going to the lab, and As not going to the lab. From the problem description figure out PlBAPBAck Pl) and PAzh. and then find PlA B) The probability table below describes the relationship between gender and favorite subject of students in a liberal college. Total Gender Favorite Subject- MathErg Science 0.175 0.150 0.425 0.575 1.000 0.050 Male Female Total 0.200 0.100 0.300 0.375 10. What is the probability of selecting an individual who is a male or prefers science? II. What is the probability of selecting an individual preferring science given that this individual is a female? 12 In a recent survey about appliance ownership. 52.3% ofthe respondents indicated that they own GE, while 27,3% indicated they own both GE and Maytag appliances and 74.5% said they own at least one of the two appliances Define the events as G-On ning a GE appliance. M-Ou ning a Maytag appliance What is the probability that a respondent owns a Maytag appliance? Independent, mutually exclusive events, and more exercises

Explanation / Answer

1) Probability of event A that occurs P(A) = n(A) / n(S).

P(A)= 40/100= 0.4

2) relative probability = 40/100= 0.4

3) posterior probability

4) six faced fair die tossed three times , so probability of getting 2 in third trial will be 1/216

5) Since A and B are independent events

Conditional Probability P(A | B) = P(A B) / P(B). = P(A)*P(B)/P(B) = P(A)= 0.02

PLEASE NOTE: I have done the first 5 please repost rest questions. Thank You.

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