The mode of a continuous distribution is the value x* that maximizes f(x). a. What is the

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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 param- eters and ?

b. Does the uniform distribution with parameters A and B have a single mode? Why or why not?

c. What is the mode of an exponential distribution with parameter A? (Draw a picture.)

d. If X has a gamma distribution with parameters a and B. and a >1, find the mode. [Hint: In[f(x)] will be maxi- mized iff(x) is, and it may be simpler to take the deriv- ative of In[/(x)].]

e. What is the mode of a chi-squared distribution having v degrees of freedom?

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Probability And Statistics For Engineering And The Sciences

ISBN: 9781133169345

8th Edition

Authors: Jay L Devore, Roger Ellsbury

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Question Posted: Sep 16, 2024 02:00 PM

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The mode of a continuous distribution is the value x* that maximizes f(x). a. What is the

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