9) ET is total prot then the expected value of T is $40,000. The standard deviation of T is 45,600. By the CLT, T will be approximately normally distributed (since it is the sum of independent random variables). Then, Pr(T 3* 0) will be 1- NORMDIST(0, 40,000, 45,600, TRUE) = 0.8. A company sells an insurance policy against losses incurred during travel for $15. 40,000 customers buy the insurance policy. The policy pays the full amount claimed up till $5,000. Most policy holders claim nothing, the rest either $500 or $5,000. Each customer has the following probabilities of claiming a certain amount for damages, independent of the other customers. Claim amount $0 $500 $5,000 Probability 99% 0.8% 0.2% Use the central limit theorem to estimate the probability that the company makes a positive net prot on these contracts