Answer: The mode of a continuous distribution is the value
Chapter 4, Problem 4.119(choose chapter or problem)
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 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 ? (Draw a picture.) d. If X has a gamma distribution with parameters and , and 1, find the mode. [Hint: 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 degrees of freedom? 1
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