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The random variableX is exponentially distributed, whereX represents the time it takes for a person to choose a birthday gift. IfX has an average value

The random variableX

is exponentially distributed, whereX

represents the time it takes for a person to choose a birthday gift. IfX

has an average value of20

minutes, what is the probability thatX

is less than22

minutes? (Do not round until the final step.Round your answerto 3 decimal places.)

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