The amount of time that a surveillance camera will run witho.pdf

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A surveillance camera runs randomly with an average of 40 days before needing reset. A transistor was selected with a lognormal distributed current gain ratio X with mean 0.7 and variance 0.04. The probability is calculated that the current gain ratio X of the selected transistor falls between 1.8 and 2.4.

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The amount of time that a surveillance camera will run without having to be reset is a random
variable having the exponential distribution with a mean, =40 days.Suppose the current gain ratio
of certain transistors, X=Io/Ii, follows a Lognormal Distribution with parameters =.7 and 2=.04. One
such transistor is randomly selected and tested for current gain. Calculate the probability that the
current gain ratio is between 1.8 and 2.4. That is: calculate P(1.8X2.4). Key: If XlogNormal(,2) then
ln(X) Normal with mean and variance 2

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