Question: probablity and statistic question A professor takes a time to go from home to work each day, given by the distribution below and denoted by

probablity and statistic question

A professor takes a time to go from home to work each day, given by the distribution below and denoted by the Y random variable. 25 , Osy 10 spends. a. Is the given distribution a valid distribution for a random variable? Prove your answer. b. Calculate the total distribution function. c. Calculate the mean value of the Y random variable. D. Calculate the probability that the total waiting time is 10 minutes. d). What is the probability that the total waiting time is between [3,12] minutes

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