# Question

Suppose X and Y are independent and exponentially distributed both with unit- mean. Consider the roots of the quadratic equation Z2 + Xz + Y = 0.

(a) Find the probability that the roots are real.

(b) Find the probability that the roots are complex.

(c) Find the probability that the roots are equal.

(a) Find the probability that the roots are real.

(b) Find the probability that the roots are complex.

(c) Find the probability that the roots are equal.

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