Question

I need $50,000 in donations. I send requests to three different philanthropists. Each one donates money...

I need $50,000 in donations. I send requests to three different philanthropists. Each one donates money at random and independently of the others. The expected value and SD of the amounts they give out are $25,000 with SD $2500 for the first source, $25,000 with SD $6000 for the second and $10000 with SD $3000 for the third. What is the expected value and SD of the amount of money I receive? What additional information is required to answer the question "what is the probability that I receive $50,000?"

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