Assume the number of physical damage losses for houses as a result of hurricane Irma in Barbuda is normally distributed with a mean of 400 and a standard deviation of 80. What is the probability that: a) The probability between 400 and an instance is 39.97%, What is the value of the instance? b) If the probability that more than X losses will occur is 19.77% what is X?
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!
Assume the number of physical damage losses for houses as a result of hurricane Irma in Barbuda is
a) The probability between 400 and an instance is 39.97%, What is the value of the instance?
b) If the probability that more than X losses will occur is 19.77% what is X?
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