Fast food restaurants spend quite a bit of time studying the amount of time cars spend in their drive-throughs. Survey found Burger King had the best time, with a mean time spent in the drive-through of 138.5 seconds. Assuming drive-through times are normally distributed with a standard deviation of 29 seconds, answer the following questions. a) Compute the probability that a randomly selected car will get through Burger King's drive-through in less than 100 seconds. b) Compute the probability that a randomly selected car will spend more than 160 seconds in Burger King's drive-through.
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!
please also draw an appropriate normal curve and shade the desired area for each question
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