The number of minutes of playing time of a certain high school basketball player in a rand...

The number of minutes of playing time of a certain high school basketball player in a randomly chosen game is a random variable whose probability density function is given in the following figure:

Find the probability that the player plays

(a) more than 15 minutes;

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(b) between 20 and 35 minutes;

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(c) less than 30 minutes;

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(d) more than 36 minutes.