Let X be the current in a certain electrical circuit The cur

Let X be the current in a certain electrical circuit. The current is measured in amperes and has the following density function (i.e. pdf)

f(x) = { 0.075x + 0.2, for 3 < x < 5 0, otherwise

d) Given that the current is at least 4 amperes, what is the probability that the current exceeds 4.7 amperes?

e) What is the mean current of this circuit?

Solution

Let X be the current in a certain electrical circuit. The current is measured in amperes and has the following density function (i.e. pdf) f(x) = { 0.075x + 0.2

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