3. (15 points) It is Saturday morning and you want to watch the new season of Ga

Question

3. (15 points) It is Saturday morning and you want to watch the new season of Game of Thrones. You share a TV with your roommate but you have different preferences for shows, so you don't watch TV together. Your roommate woke up before you did and started watching The Stranger Things on Netfix at 10:00am. The amount of time it takes your roommate to finish watching Netflix is exponentially distributed with a mean of 40 minutes. You decide to make yourself breakfast and finish eating it at 10:45 am. If your roommate is still watching Netflix, you must wait for her to finish before you can watch your show. If the amount of time you spend watching TV is exponentially distributed with a mean of 60 minutes, at what time do you expect to finish watching TV?

Explanation / Answer

Mean time that roommate will take to finish watching Netflix = 40 minutes

Expected finish time of friend is 10:40 am

You finish eating breakfast at 10:45 am. By the time, friend is expected to have finished watching TV (as per mean time)

So, that's when you start watching your show.

Mean time you spend watching TV is 60 minutes.

Expected finish time of watching TV = 10:45 am + 60 minutes = 11:45 am

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