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An insurance company has issued policies to 10,000 people for a premium of $500 per person in the event of a casualty, the probability of which is assumed to be 0

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An insurance company has issued policies to 10,000 people for a premium of $500 per person in the event of a casualty, the probability of which is assumed to be 0.001, the company pays $200,000 per casualty. What is the probability that (a) the company will suffer a loss? (b) the company will make a pro?t of at least $25,000,000 ? —Tl. (hints: self-study Stirling ’s approximation, when n—> 00, n! 5 21m (3) , you may need this to simph? your equations and continue the calculations.)