Question

The number of minutes after 10 am that a bus leaves the station is normally distributed...

The number of minutes after 10 am that a bus leaves the station is normally distributed with a mean of 7 minutes and a standard deviation of 3 minutes. What time should a person reach the bus station to have a 50-50 chance of catching the bus?

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Answer #1

We know that,

For normal distribution,

Mean divides the total area into 50-50% parts.

Hence,

Person should reach the bus station to have a 50-50 chance of catching the bus at 10:07 am i.e., 7 minutes after 10 am,

Thank you.

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