Central limit theorem. Population with exponential distribution

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My problem says: Let Y be a random variable with exponential distribution and parameter 1/50, the lifetime of a product in hours. Consider a population of 100 products. Let X be the R.V. that represents the number of products that last over 50 hours. Compute $\Bbb P(X>40)$. If this is supposed to be solved by CLT, then i should be able to see X as the sum of Y's or something similar. I don't know how to put X in terms of the independent identically distributed Ys.