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What Is the Probability That It Will Take Less Than μ\mu

Question 33

Multiple Choice

What is the probability that it will take less than or equal to 0.25 hours to service any call based on the following exponential probability distribution with rate μ\mu = 5?
 Average Service Rate  μ=5  per hour\begin{array}{llcc} \quad\quad\text { Average Service Rate } &\\\hline \text { \(\mu\) =5 } &\text { per hour} &\\\end{array}

TP( service time T) 0.000.000.050.220.100.390.150.530.200.630.250.710.300.780.350.830.400.860.450.890.500.920.550.940.600.950.650.96\begin{array}{cc}\mathrm{T} & \mathrm{P}(\text { service time } \leq \mathrm{T}) \\\hline 0.00 & 0.00 \\0.05 & 0.22 \\0.10 & 0.39 \\0.15 & 0.53 \\0.20 & 0.63 \\0.25 & 0.71 \\0.30 & 0.78 \\0.35 & 0.83 \\0.40 & 0.86 \\0.45 & 0.89 \\0.50 & 0.92 \\0.55 & 0.94 \\0.60 & 0.95 \\0.65 & 0.96\end{array}


A) 0.00
B) 0.71
C) 0.92
D) 1.00

Correct Answer:

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