Question

Average power usage (in dB per hour) for a particular company is studied and it is...

Average power usage (in dB per hour) for a particular company is studied and it is found to have a lognormal distribution with parameters µ = 4 and σ = 2.

(a) What is the probability that the company uses more than 235.1 dB during any particular hour?

(b) Find the 15.39-th percentile of the power usage for this company during any particular hour.

(c) How much power is this company expected to use during any particular hour?

Math   Statistics-And-Probability   
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Answer #1

a)

{Log-Normal Parameters} = { (μ = 4) & (σ =2) }

Item (a):
{"z" Value for 235.1} = {ln(235.1) - μ}/σ = {ln(235.1) - (4)}/(2) = 0.7300
Prob{Use More Than235.1} = Prob{z ≥ 0.7300} = 0.2327

b)

c)_

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