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 the circuit to be the sum of individual resistances. (a) Find the probability that the total resistance is less than 1245. (b) Find the joint probability that each and everyone of them has resistance of less than 4. (c) Give the joint probability density function of the resistance of the 50 resistors

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