Most exhibition shows open in the morning and close in the late evening. A study of Saturday arrival times showed that the average arrival time was 2 hours and 2 minutes after the doors opened, and the standard deviation was estimated at about 44 minutes. Assume that the arrival times follow a normal distribution. At what time after the doors open will 55% of the people who are coming to the Saturday show have arrived? O 2 hours 13 minutes O 2 hours 1 minute O I hour 56 minutes O 2 hours 7 minutes O O hours 5 minutes
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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