A particular professor never dismisses class early. Let x denote the amount of time past the class end time (in minutes) that elapses before the professor dismisses class. Suppose that x has a uniform distribution on the interval from 0 to 10 minutes. The density curve has Two horizontal solid line segments are graphed on the coordinate plane. The horizontal x axis is labeled "Time (minutes)" and has two tick marks labeled "0" and "10". The vertical axis is labeled "Density" and has one tick mark labeled "1/10." The first line segment enters the viewing window from the left and is drawn directly on the negative horizontal axis, ending at (0, 0). The second line segment begins at the coordinate (0, 1/10) and ends at the coordinate (10, 1/10). (a) What is the probability that at most 7 minutes elapse before dismissal?   (b) What is the probability that between 3 and 5 minutes elapse before dismissal?

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