The mode of a continuous distribution is the value x* thatmaximizes f (x).a. What is the
Chapter 4, Problem 111(choose chapter or problem)
The mode of a continuous distribution is the value x* thatmaximizes f (x).a. What is the mode of a normal distribution withparameters m and s?b. Does the uniform distribution with parameters A andB have a single mode? Why or why not?c. What is the mode of an exponential distribution withparameter l? (Draw a picture.)d. If X has a gamma distribution with parameters a andb, and a . 1, find the mode. [Hint: ln[f(x)] will bemaximized iff f(x) is, and it may be simpler to take thederivative of ln[f(x)].]e. What is the mode of a chi-squared distribution havingn degrees of freedom?
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