All freshmen at WKU have a meal plan with dining dollars. Student affairs keeps track of all transactions for all freshmen and finds that they report a mean of $300 spent per month on lunches with a standard deviation of $48. 144 dining dollars accounts are selected to be part of a random sample. Use this information to answer the following, rounding to 4 decimal places. The probability that the sample mean will be more than $303.50 is The probability that the sample mean will be less than $299 is The probability that the sample mean will be between $297 and $304 is
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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