a What is the probability that all ten bulbs fail before tim

Solution

Let Xi = time of life of light bulb i with parameter i,i=1,2,...10 Since Xi~Exp(i), the CDF of the exponential is Fx(Xn)=1-exp(-n*x), where n=1,2,...,10 The probability that all ten bulbs fail before time t is P(X1

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