Suppose tat the life length of a certain kind of light bulb, after it is installed is exponentially distributed with mean life of 10 days. Let X,, X, + a) E[S50] ,X, be i.i.d. Let S50 ..... +X50- Find b) Var(S50)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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3. Suppose that the life length of a certain kind of light bulb, after it is installed is
exponentially distributed with mean life of 10 days. Let X,,
X, +
X. be i.i.d. Let S0
+Xe. Find
a) E[S30]
b) Var(S50)
Transcribed Image Text:3. Suppose that the life length of a certain kind of light bulb, after it is installed is exponentially distributed with mean life of 10 days. Let X,, X, + X. be i.i.d. Let S0 +Xe. Find a) E[S30] b) Var(S50)
3. Suppose that the life length of a certain kind of light bulb, after it is installed is
exponentially distributed with mean life of 10 days. Let X,,
X, +
X. be i.i.d. Let S0
+Xe. Find
a) E[S30]
b) Var(S50)
Transcribed Image Text:3. Suppose that the life length of a certain kind of light bulb, after it is installed is exponentially distributed with mean life of 10 days. Let X,, X, + X. be i.i.d. Let S0 +Xe. Find a) E[S30] b) Var(S50)
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