A teacher travels to work by car and the journey time, t hours, has a probability density function (10ct, Os1<0.6 f, (1) = {9c(1-t), 0.6 st<1.0 0, otherwise Where c is a constant. a. Find the value of c that would make f a valid pdf. b. Find the probability that the journey time will be between 24 and 48 minutes. c. Find the expected travel time of the teacher.

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