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Is the following a valid probability density function? f(x) = c*exp(-(max(1,x^2)) (for all values of x...

Is the following a valid probability density function?

f(x) = c*exp(-(max(1,x^2)) (for all values of x in the Real plane)

If not, for what value of c (c = constant) this function will be a valid PDF?

Math   Statistics-And-Probability   
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