Monthly Mortgage Payments The average monthly mortgage payment including principal and interest is $982 in the United States. Assume that the standard deviation is approximately $180 and the mortgage payments are approximately normally distributed. Find these probabilities of the monthly payment selected randomly. Enter the final answers as decimals rounded to at least four places. Round intermediate z -value calculations to two decimal
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!
Monthly Mortgage Payments The average monthly mortgage payment including principal and interest is $982 in the United States. Assume that the standard deviation is approximately $180 and the mortgage payments are approximately
(a) More than $1220
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P(X.1220)=
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(b) Between $790 and $1150
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P(790<X<1150)=
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