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Marlene has noticed that she spends a lot of time in front of a screen. She spends all day working in front of a computer screen, she spends time relaxing and watching her favourite shows in front of a TV screen and before she goes to sleep she spends time looking at things on her phone screen. Marlene thinks she should probably cut down on the time she spends on her phone before going to sleep. On any given night, Marlene believes that the amount of time she spends on her phone is uniformly distributed between 41.3 and 73.4 minutes. Assume that the amount of time Marlene spends on her phone is independent from night to night.

Question

Marlene has noticed that she spends a lot of time in front of a screen. She spends all day working in front of a computer screen, she spends time relaxing and watching her favourite shows in front of a TV screen and before she goes to sleep she spends time looking at things on her phone screen. Marlene thinks she should probably cut down on the time she spends on her phone before going to sleep. On any given night, Marlene believes that the amount of time she spends on her phone is uniformly distributed between 41.3 and 73.4 minutes. Assume that the amount of time Marlene spends on her phone is independent from night to night.

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