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Normal Distribution

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發問:

The pattern that John arrives at the train station follow a normal distribution with standard deviation = 5 min. If he wants to arrive at the train station on 7:05 am at least 95% of the time, what should be the mean arrival time? (answer correct to nearest minute.)

最佳解答:

According to normal distribution table, P(z < 1.645) = 0.95 Therefore the mean time should be 5 x 1.645 = 8.225 mins earlier than 7:05 am Hence the mean time = 6:57 am

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