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 Post subject: stats helpPosted: Wed, 11 Jul 2012 21:37:40 UTC
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Joined: Thu, 14 Jun 2012 16:15:13 UTC
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a bus arrives at a bus stop every 30 min. however there is no set schedule for the bus. you just know it does arrive every 30 min. you arrive at the bus stop not knowing when the last bus left. what is the probability that you will more than 15 min?

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 Post subject: Re: stats helpPosted: Wed, 11 Jul 2012 22:25:20 UTC
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Joined: Fri, 1 Jul 2011 01:17:26 UTC
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ktau2010 wrote:
a bus arrives at a bus stop every 30 min. however there is no set schedule for the bus. you just know it does arrive every 30 min. you arrive at the bus stop not knowing when the last bus left. what is the probability that you will more than 15 min?

It looks like the arrival time for the next bus is uniformly distributed between 0 and 30 minutes, so the probability of waiting more than 15 minutes is 1/2.

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 Post subject: Re: stats helpPosted: Wed, 11 Jul 2012 23:08:15 UTC
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Joined: Wed, 30 Mar 2005 04:25:14 UTC
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Location: Austin, TX
ktau2010 wrote:
a bus arrives at a bus stop every 30 min. however there is no set schedule for the bus. you just know it does arrive every 30 min. you arrive at the bus stop not knowing when the last bus left. what is the probability that you will more than 15 min?

You have wait time is a uniform random variable, so the cumulative distribution function is .

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