Mathematics, 13.09.2019 08:20 rachanachannagiri
Rate data often follow a lognormal distribution. average power usage (db per hour) for a particular company is studied and is known to have a lognormal distribution with parameters ฮผ = 4 and ฯ = 2. what is the probability that the company uses more than 270 db during any particular hour?
Answers: 2
![\mu =4 and \sigma=2. To fin the probability we only need to evaluate the formula for x = 270 dB:[tex]f_{X}(270)=\frac{1}{270} \cdot \frac{1}{2 \times \sqrt{2 \pi}} \exp \left(-\frac{(\ln 270-4)^{2}}{2\times 2^{2}}\right)\\f_{X}(270)= 1.5\times10^{-5} = 0.00005 = 0.0005\%](/tpl/images/0229/8751/eb2ca.png)
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Rate data often follow a lognormal distribution. average power usage (db per hour) for a particular...
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