You are now the recent parent of a small baby. Congratulations. Said baby now needs frequent diaper changes Assume that the baby needs its diaper changed regularly, though at uncertain times during the day, which are Poisson distributed over time at a rate (a) of approximately 1 diaper(s) change every 0.9 hours. You need groceries and hop into your car with the baby and diaper bag to go to the store. "f a round trip to the store takes 1.6 hours, what is the probability that you will need to change at least one diaper before you get home? number (rtol=D0.01, atol=D0.0001)
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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what happens if we have a situation of a rate of approximately 2 diepers change every 0.9 hour?
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