7. Let f(x; µ, 0) be the pdf of a normally distributed random variable with parameters µ and o. (a) Show that the maximum value of f is 1/(ov27), achieved at æ = µ. (b) Show that f has inflection points at r = µ ± o (recall that an inflection point occurs when the second derivative of f changes signs).

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7. Let f(x; µ, o) be the pdf of a normally distributed random variable with parameters u and o.
(a) Show that the maximum value of f is 1/(ov27), achieved at x = µ.
(b) Show that f has inflection points at x = µ±o (recall that an inflection point occurs when
the second derivative of f changes signs).
Transcribed Image Text:7. Let f(x; µ, o) be the pdf of a normally distributed random variable with parameters u and o. (a) Show that the maximum value of f is 1/(ov27), achieved at x = µ. (b) Show that f has inflection points at x = µ±o (recall that an inflection point occurs when the second derivative of f changes signs).
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