The duration of an NBA basketball game during the 2019-20 season is normally distributed with the mean 126 minutes and a standard deviation of 11.9 minutes. (a) Calculate the probability that a game will last longer than 144 minutes to complete (b) Calculate the probability that a game will be finished in under 119 minutes (c) Calculate the probability that a game will be finished between 106 and 140 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!
The duration of an NBA basketball game during the 2019-20 season is
(a) Calculate the
(b) Calculate the probability that a game will be finished in under 119 minutes
(c) Calculate the probability that a game will be finished between 106 and 140 minutes
(d) The probability is 0.19 that a game will last longer than how many minutes
Step by step
Solved in 4 steps
