00 f(t)dt = = 1. The A function is a probability density function if it satisfies the following definition: %3D probability that a random variable x lies between a and b is given by P(a < x < b) f(t)dt. A. Determine which of the following is a probability density function: - {or if x < 0 O f(r) : 5z 5e if x > 0 if I <0 O f(r) = if 5+1 B. For the one that is a probability density function, find the probability that x is between 0 and 0.4.

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