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3. Let S be an aggregate loss random variable with a discrete frequency distribution N with pmf P 0 0.5, P 1 = 0.4, P

3. Let S be an aggregate loss random variable with a discrete frequency distribution N with pmf

P0 0.5, P1 = 0.4, P = 0.1.

The severity claim has an exponential distribution with mean 2. Find the cdf of S.

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