Fast-food restaurants spend quite a bit of time and money studying the amount of time cars spend in the drive-through. In 2007, QSR Magazine studied drive-through times at fast-food restaurants, and Wendy's had the best time, with a mean time of 138.5 seconds with a standard deviation of 29 seconds. Assuming that the data was normally distributed, use R to answer the following: Find the probability that a randomly selected car gets through Wendy's drive-through in less than 100 seconds. а) b) Find the probability that a randomly selected car gets through Wendy's drive-through in over 3 minutes.. Find the probability that a randomly selected car in at the drive-through from 2 to 3 minutes. c)
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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