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The time it takes for a student to finish an aptitude test (in hours) has a density function of the form

1246_density function of the form.png

(a) Determine the constant c.

(b) Calculate the distribution function of the time it takes for a randomly selected student to finish the aptitude test.

(c) What is the probability that a student will finish the aptitude test in less than 75 minutes? Between 12 and 2 hours?

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