Question: 2. The distribution function for the duration of a certain soap opera (in tens of hours) is (a) Calculate f, the probability density function of

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

F(x) = 16 912 x4

(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?

F(x) = 16 912 x4

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