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In: Statistics and Probability

Suppose that a random variable X has a pdf f(x) = ke^(-3x^2+6x-5), -infinity < x <...

Suppose that a random variable X has a pdf
f(x) = ke^(-3x^2+6x-5), -infinity < x < infinity
(a) Find k.
(b) Find the mean and variance of X.
(c) Find the probability that X is between 1 and 1.5.

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