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People arrive at a gallery according to a Poisson process with rate 10 per hour. The amount of time (measured in hours) each person spends in the park has density r}: {21: I E {0.1) D otherwise, independent of each other. The gallery opens at 9am. Denote by X (t) the number of people in the gallery t hours after it opens. (i) What is the probability that there are 2 people in the gallery 3 hour after it opens? (ii) What is l.'1n1,g_,.,_,,O lE[_X{t)]