For a specific year. Americans spent an average of $52 for ice cream. The amount spent is normally distributed and the standard deviation is $7.50. Find the probability that a randomly American spent more than $47 per year on ice cream. Show work. __________ If 1200 Americans were randomly selected, about how many would you expect to have spent less than $47 per year on ice cream? Show your work. ________
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!
For a specific year. Americans spent an average of $52 for ice cream. The amount spent is
Find the probability that a randomly American spent more than $47 per year on ice cream. Show work.
__________
If 1200 Americans were randomly selected, about how many would you expect to have spent less than $47 per year on ice cream? Show your work.
________
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