Let the breakdown of a machine follow the Poisson process so that the random variable X denoting the number of breakdowns per unit of time is distributed as a Poisson distribution. Then, the time between any two consecutive failures is also a random variable T that is distributed as an exponential with parameter λ. If λ=0.1, what is the probability that the machine will function from 2 to 5 hours before it breaks down again?

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