In the interest of pollution control, an experimenter

Chapter 7, Problem 101SE

(choose chapter or problem)

A plant supervisor is interested in budgeting weekly repair costs for a certain type of machine. Records over the past years indicate that these repair costs have an exponential distribution with mean 20 for each machine studied. Let \(Y_{1}, Y_{2}, \ldots, Y_{5}\) denote the repair costs for five of these machines for the next week. Find a number  such that

\(P\left(\Sigma_{i=1}^{5} Y Y Y Y_{i}>c\right)=.05\), assuming that the machines operate independently. [Hint: Use the result given in Exercise 7.93.]

Equation Transcription:

Text Transcription:

Y1, Y2,...,Y5

P(\Sigmai=1^5 Y Y Y Y_i>c)=.05

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