2)Which of the following functions meet all the requirements of a probability- d

Question

2)Which of the following functions meet all the requirements of a probability-
density, assuming that a and b are positive constants?
a) exp(iax), b) x exp(-bx2) c) exp(-bx2)
2)Which of the following functions meet all the requirements of a probability-
density, assuming that a and b are positive constants?
a) exp(iax), b) x exp(-bx2) c) exp(-bx2) 2)Which of the following functions meet all the requirements of a probability-
density, assuming that a and b are positive constants?
a) exp(iax), b) x exp(-bx2) c) exp(-bx2)

Explanation / Answer

a. No - this is a harmonic function so the integral is undetermined from neg-inf to inf b. No - when x is negative, f(x) is negative c. Yes!!!!

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