Major League Baseball teams have become concerned about the length of games. During a recent seaon , games averaged 2 hours and 52 minutes ( 172 minutes ) to complete . Assume the lenght of games follows the normal distrubution with a standard deviation of 16 minutes. a. What is the probability that a randomly selected game will be completed in 4. More than 150 minutes 5. Excatly 150 minutes
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Major League Baseball teams have become concerned about the length of games. During a recent seaon , games averaged 2 hours and 52 minutes ( 172 minutes ) to complete . Assume the lenght of games follows the normal distrubution with a standard deviation of 16 minutes.
a. What is the
4. More than 150 minutes
5. Excatly 150 minutes
b. What is the completion time in which 90% of the games will be finished?
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