Suppose the force acting on a column that helpe to pport a bulding in a normaly dstribted randm variable Xwth ean vau 11 and stadard devtion 1 Compute the following probabilities by standardiing and thon using a standard normal curve table from the Appendix Tablen or SALT. (Rd yot anwrs to foor decimul plaon) A USE SALT (a) PEXS 11) (b) PXS 12.5) 08413 () PX235)
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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