Suppose that the number of customers who enter a supermarket each hour is normally distributed with a mean of 670 and a standard deviation of 190. The supermarket is open 18 hours per day. What is the probability that the total number of customers who enter the supermarket in one day is greater than 12900? (Hint: Calculate the average hourly number of customers necessary to exceed 12900 in one 18-hour day.)
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!
Suppose that the number of customers who enter a supermarket each hour is
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