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Weekly losses last year had a normal distribution with mean 100 and variance 400. Let X denote the average weekly loss this year (assume that

Weekly losses last year had a normal distribution with mean 100 and variance 400. Let X denote the average weekly loss this year (assume that there are 52 weeks in a year and that losses in different weeks are independent). If losses this year have the same distribution as last, except are 20% greater due to inflation, what is the probability that X is less than 124?

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