A grocery store's receipts show that Sunday customer purchases have a skewed distribution with a mean of $25 and a standard deviation of $14. Suppose the store had 322 customers this Sunday. a) Estimate the probability that the store's revenues were at least $8 comma 200 b) If, on a typical Sunday, the store serves 322 customers, how much does the store take in on the worst 1% of such days?
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!
A grocery store's receipts show that Sunday customer purchases have a skewed distribution with a mean of $25 and a standard deviation of $14. Suppose the store had 322 customers this Sunday.
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