One season, the average little league baseball game averaged 2 hours and 53 minutes (173 minutes) to complete. Assume the length of games follows the normal distribution with a standard deviation of 11 minutes. Complete parts a through d below. a. VWinal is uie prubaDty urararanoomy Selecied game wilI De compieteu iess uran 190 munules? The probability that a randomly selected game will be completed in less than 190 minutes is 0.9389 (Round to four decimal places as needed.) b. What is the probability that a randomly selected game will be completed in more than 190 minutes? The probability that a randomly selected game will be completed in more than 190 minutes is 0.0611 (Round to four decimal places as needed.) c. What is the probability that a randomly selected game will be completed in exactly 190 minutes? The probability that a randomly selected game will be completed in exactly 190 minutes is 0 (Round to four decimal places as needed.) d. What is the completion time in which 95% of the games will be finished? About 95% of the games will be finished in (Round to two decimal places as needed.) minutes or less. Enter your answer in the answer box and then click Check Answer. All parts showing Clear All
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!
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