Suppose the travel time from White Plains Transit Center to SUNY WCC on public transit (Bus Route #15) follows a Uniform Distribution with a minimum time of 10 minutes and a maximum time of 25 minutes. Let the random variable x represent the time from White Plains Transit Center to SUNY WCC on public transit. What is the probability Density Function, pdf, for the random variable x? What is the probability the travel time is between 15 and 20 minutes? What is the probability the travel time is between 10 and 13 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!
Suppose the travel time from White Plains Transit Center to SUNY WCC on public transit (Bus Route #15) follows a Uniform Distribution with a minimum time of 10 minutes and a maximum time of 25 minutes.
Let the random variable x represent the time from White Plains Transit Center to SUNY WCC on public transit.
What is the
What is the probability the travel time is between 15 and 20 minutes?
What is the probability the travel time is between 10 and 13 minutes?
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