And amateur motorcycle racer average is 129.12 seconds per 2.5 mile lap in a 7 lap race with a standard deviation of 2.25 seconds the distribution of her race is normally distributed we are interested in one of her randomly selected laps let x be the number of seconds for a randomly selected lap the middle 60% of her laps are from what seconds to what seconds
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!
And amateur motorcycle racer average is 129.12 seconds per 2.5 mile lap in a 7 lap race with a standard deviation of 2.25 seconds the distribution of her race is
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