2. The distribution function for the duration of a certain soap opera (in tens of hours) is...

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2. The distribution function for the duration of a certain soap opera (in tens of hours) is

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(a) Calculate

f, the probability density function of the soap opera.

(b) Sketch the graphs of F and f.

(c) What is the probability that the soap opera takes at most 50 hours? At least 60 hours? Between 50 and 70 hours? Between 10 and 35 hours?

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