Suppose a random number N is selected from numbers 690 to 850, in uniform distribution. (a) Sketch the probability density function. Label and scale your axes. (b) Find the mean and standard deviation for the random number selected. (c) What is the 90th percentile for random number selection? Shade the appropriate area on your graph from part (a). Can you show me how to do this with and without the calculator?
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!
Suppose a random number N is selected from numbers 690 to 850, in uniform distribution.
(a) Sketch the probability density
(b) Find the
Can you show me how to do this with and without the calculator?
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