Cody and Sierraagree to meet at the fitness center for a morning workout. They agree to meet sometime between 6:00am and 7:00am. They have an agreement that if either of them has to wait more than 15minutes for the other one, the workout is canceled. What is the probability that they will work out ? Assume that Cody and Sierra’s arrival times are independent and uniformly distributed between 6:00am and 7:00am.
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!
Cody and Sierraagree to meet at the fitness center for a morning workout. They agree to meet sometime between 6:00am and 7:00am. They have an agreement that if either of them has to wait more than 15minutes for the other one, the workout is canceled. What is the probability that they will work out ? Assume that Cody and Sierra’s arrival times are independent and uniformly distributed between 6:00am and 7:00am.
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