A congressional committee is investigating a defense contractor whose projects often incur cost overruns. The data in the table below show y, the fraction of the projects with an overrun of at most C%. Based on the table, what is the probability that there will be a cost overrun of 50% or more? Between 20% and 40%? Near what percent is the cost overrun most likely to be? C|-20% | -10% 0% 10% 20% 30% 40% 50% y 0.01 0.08 0.19 0.32 0.50 0.80 0.94 0.99 Enter the exact answers for the probabilities. Round your answer for the most likely amount of cost overrun to the nearest perc The probability that there will be a cost overrun of 50% or more is %.
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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