The average annual rainfall in Detroit is 52.1" of rain per year with a standard deviation of 10" per year. Assume a Normal Distribution applies to annual rainfall. a) What percent of the year do you predict that Detroit's rainfall exceeds 75" per year? b) What is the probability tht over the next two years the annual rainfall in Detroit exceeds 75" per year for both years? c) Suppose a person moves to Detroit
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!
The average annual rainfall in Detroit is 52.1" of rain per year with a standard deviation of 10" per year. Assume a
a) What percent of the year do you predict that Detroit's rainfall exceeds 75" per year?
b) What is the
c) Suppose a person moves to Detroit to go to WSU for the next 4 years. What is the probability that those 4 years average less than 48"?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
