Resistors of a certain type have resistances that are exponentially distributed with parameter λ = 0.04. An operator connects 50 independent resistors in series, which causes total resistance in thecircuit to be the sum of individual resistances. Find the probability that the total resistance is less than 1245.

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Resistors of a certain type have resistances that are exponentially distributed
with parameter λ = 0.04. An operator connects 50 independent resistors in series, which causes total resistance in thecircuit to be the sum of individual resistances.

Find the probability that the total resistance is less than 1245.

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Since, X follows exponential distribution,
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