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The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has

The random variable X

is exponentially distributed, where X

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

has an average value of 27

minutes, what is the probability that X

is less than 31

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

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