The mode of a continuous distribution is the value x* that maximizes f (x). a. What is
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The mode of a continuous distribution is the value x* that maximizes f (x).
a. What is the mode of a normal distribution with parameters m and s?
b. Does the uniform distribution with parameters μ and θ have a single mode? Why or why not?
c. What is the mode of an exponential distribution with parameter λ? (Draw a picture.)
d. If X has a gamma distribution with parameters α and β, and α > 1, find the mode. ln[f(x)] will be maximized iff f(x) is, and it may be simpler to take the derivative of ln[f(x)].
e. What is the mode of a chi-squared distribution having n degrees of freedom?
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Probability And Statistics For Engineering And The Sciences
ISBN: 9781305251809
9th Edition
Authors: Jay L. Devore
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