Your friend Kate is never on time and is regularly anywhere from 3 to 21 minutes...
- Your friend Kate is never on time and is regularly anywhere from 3 to 21 minutes late. Let X represent the length of time in minutes that Kate is late and assume it has a uniform distribution.(Note: Labelled diagrams and proper notation are required for all parts.)
- a) Draw the probability density of X.
- b) Find the probability that Kate will be no more than 10 minutes late.
- c) Find the probability that Kate will be between 15 and 20 minutes late.
- d) Find the probability that Kate will be exactly 12 minutes late.
- e) You and Kate are going to an 8:00 PM movie so she agreed to pick you up from your house at 7:25 PM. If it takes 21 minutes to drive from your house to the movie theatres and 7 minutes to buy tickets and snacks, what is the probability that you will be seated before the movie begins?
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