Recently, Major League Baseball teams have become concerned about the length of
ID: 2474668 • Letter: R
Question
Recently, Major League Baseball teams have become concerned about the length of games. During the 2009 season, games averaged 2 hours and 52 minutes (172 minutes) to complete. Assume the length of games follows a normal distributions with a standard deviation of 16 minutes. What is the probability that a randomly selected game will be completed in 200 minutes or less? What is the probability that a randomly selected game will be completed in more than 150 minutes? What is the probability that a randomly selected game will be completed between 140 and 190 minutes? What is the probability that a randomly selected game will be completed between 145 and 165 minutes? The time patrons at the Grande Dunes Hotel in the Bahamas spend waiting for an elevator follows a uniform distribution between 0 and 3.5 minutes. Construct a graph for the problem.Explanation / Answer
1b) P (z>-1.375) = 0.9154
1c) P (140<X<190) = P(-2<z<1.125) = 0.848
1d) P(145<X<165) = P (-1.6875<z<-0.4375) =0.2845
1a) is correct
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