For each of the following, indicate if a discrete or a continuous random variable provides the best definition: a. The number of cars that arrive each day for repair in a two-person repair shop b. The number of cars produced annually by General Motors c. Total daily e-commerce sales in dollars d. The number of passengers that are bumped from a specific airline flight 3 days before Christmas
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!
For each of the following, indicate if a discrete or a continuous random variable provides the best definition:
a. The number of cars that arrive each day for repair in a two-person repair shop
b. The number of cars produced annually by General Motors
c. Total daily e-commerce sales in dollars
d. The number of passengers that are bumped from a specific airline flight 3 days before Christmas
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