Show that the 100(1 )% confidence interval for the mission time t such thatthe

Chapter 10, Problem 2

(choose chapter or problem)

Show that the 100(1 )% confidence interval for the mission time t such thatthe reliability for this mission time satisfiesR(t) = P(X>t) = ,is given by 2sn;r22r;/2ln 1, 2sn;r22r;1/2ln 1.It is assumed that the lifetime X is exponentially distributed with the parameter (which is to be estimated from the data), and the remaining assumptions arethe same as those made throughout the section.

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