Question
Asked Nov 21, 2019
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2.

2. Let Z be the rate at which customers are served in a queue. Suppose that Z has pdf given as
2e-2
for
f(2)
0
otherwise
Find the pdf of the average waiting time T
1/Z. Note that T is a random variable
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2. Let Z be the rate at which customers are served in a queue. Suppose that Z has pdf given as 2e-2 for f(2) 0 otherwise Find the pdf of the average waiting time T 1/Z. Note that T is a random variable

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Expert Answer

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Step 1

Let Z be the rate at which customers are served in a queue. Let us consider that Z has the probability density function,

2e
f(z)=
for z > 0
otherwise
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2e f(z)= for z > 0 otherwise

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Step 2

The average waiting time, t =1/z...

1
t
1
- dt
dz =
h)-i5)dE
-j2e d
2e
dt
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1 t 1 - dt dz = h)-i5)dE -j2e d 2e dt

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Statistics

Advanced Topics in Statistics

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