The (inter-arrival) time between hurricanes that hit the Louisiana coast has Exponential distribution with mean of 4.3 years. What is the distribution of S2, the time until the arrival of the second hurricane? Give the name of the distribution and the value of its parameters. What is the expected waiting time for the second hurricane? Let N represent the number of hurricanes that hit the Louisiana coast in 1 year. What is the distribution of N? Give the pame of the distribution and the value of its parameters
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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