A person leaves for work between 8 am and 830 am and takes, Ask an Expert

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A person leaves for work between 8 am and 8.30 am and takes between 40 and 50 minutes to get there. Let the random variable X denote her time of departure and the random variable Y the travel time. Assume that these random variables are independent and uniformly distributed, find the probability that the person arrives to work before 9 am. (Hint: What is the interpretation of the random variable X + Y ?)

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