In a study of the length of time it takes to play Major League Baseball games during the early 2008 season, the variable “time of game” appeared to be normally distributed, with a mean of 2 hours 49 minutes and a standard deviation of 2i minutes.
Source: mlb.com/
a. Some fans describe a game as “unmanageably long” if it takes more than 3 hours. What is the probability that a randomly identified game was unmanageably long?
b. Many fans describe a game lasting less than 2 hours, 30 minutes as “quick.” What is the probability that a randomly selected game was quick?
c. What are the bounds of the interquartile range for the variable time of game?
d. What are the bounds for the middle 90% of the variable time of game?