Normal distribution of TV episodes duration with mean = 41 min and standard deviation = 2.5 min
If one episode is selected randomly, what's the probability that the duration of the episode is greater than 42 min?
If a sample of three episodes is selected randomly, what is the probability that the sample mean is greater than 42 min? What is the probability that all three of the episodes have duration greater than 42 min, assuming that the duration of episodes are independent?
Please provide detailed explanation, thank you!
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