Question: Question 4 Show the work please ! 4. Your friend is never on time and is regularly anywhere from 2 to 18 minutes late. Let

Question 4 Show the work please !

4. Your friend is never on time and is regularly anywhere from 2 to 18 minutes late. Let X represent the length of time in minutes that they are late and assume it has a uniform distribution. a) Draw the probability density of X. b) You and your friend are going to an 8:20 PM movie. They agreed to pick you up from your house at 7:45 PM (...but you know they will be late!). It takes 21 minutes to drive to the theatre from your house, and an additional 8 minutes to buy tickets and snacks. What is the probability that you will be seated before the movie begins? Use a labelled probability density diagram and proper probability notation as part of your solution. 2

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