Express Courier Service has found that the deliver time for their packages is normally distributed with a mean of 13 hours and the standard deviation is 3 hours. Their delivery times are between 8am-6pm. You order a package today and diligently check the tracking information. The package arrives at the Courier Service on Monday morning at 8am. What is the probability that your package will be delivered to you by the Tuesday at 3pm (within 17 hours)?
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!
Express Courier Service has found that the deliver time for their packages is
13 hours and the standard deviation is 3 hours. Their delivery times are between 8am-6pm. You order a package
today and diligently check the tracking information. The package arrives at the Courier Service on Monday
morning at 8am. What is the
17 hours)?
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