Allen Allenby runs the hot dog concession at the local high school's football games and is responsible for forecasting the number of hot dogs they'll need on any given Friday night. Allen believes that hot dog demand follows a normal distribution with mean 309.75 and standard deviation 164.17. What is the probability that on any Friday evening, demand for hot dogs will not exceed 6 hot dogs? Hint: Be very careful when entering answers smaller than 0.0001.
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!
Allen Allenby runs the hot dog concession at the local high school's football games and is responsible for forecasting the number of hot dogs they'll need on any given Friday night. Allen believes that hot dog demand follows a
What is the
Hint: Be very careful when entering answers smaller than 0.0001.
Pr{ X <= 6 } =
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