A freshman student receives a bank deposit of $100 a month from home to cover incidentals. Withdrawal

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A freshman student receives a bank deposit of $100 a month from home to cover incidentals. Withdrawal checks of $20 each occur randomly during the month and are spaced according to an exponential distribution with a mean value of 1 week.

Determine the probability that the student will run out of incidental money before the end of the fourth week.

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