S9 PM EDT \\Late Submission until May 22 at 11:59 PM EDT is allowed, with a one

Question

S9 PM EDT Late Submission until May 22 at 11:59 PM EDT is allowed, with a one time 50% penalty to submitted score eBook Which NCAA college basketball conference has the higher probability of having a team play in a college basketball's national championship game? Over the last 20 years, the Atlantic Coast Conference (ACC) ranks first by having a team in the championship game 10 times. The Southeastern Conference (SEC) ranks second by having a team in the championship game 8 times. However, both conferences have had teams in the championship game only one time, when Arkansas (SEC) beat Duke (ACC) 76-70 in 1994 (NCAA website, April 2009). Use these data to estimate the following probabilities. a. What is the probability the ACC will have a team in the championship game (to 2 decimals)? b. What is the probability the SEC will have team in the championship game (to 2 decimals)? c. What is the probability the ACC and SEC will both have teamis in the championship game (to 2 decinmals)? d. What is the probability at least one team from these two conferences will be in the champlonshio came? That is. what le the probabiity a team from the ACC or play In the championship game (to 2 dedimals)? SEC will decinsals) e. What Is the probability that the chempionship game wlf not beve b team from Check My Work

Explanation / Answer

Solution:- n = 20

a) Probability = 10/20 = 0.5

b) probability = 8/20 = 0.4

c) Probability = 1/20 = 0.05

d) probability = P(Acc)+P(SEC)-P(ACC and SEC) = 0.5 + 0.4 - 0.05 = 0.85

e) => 1-0.85 = 0.15

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