What Is the Probability of the Man Catching the Bus?

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SUMMARY

The probability of a man catching a bus that arrives between 12:58 am and 1:02 pm, with a 15-second wait time, is contingent on the man's arrival time between 12:59 am and 1:01 pm, where he waits for 30 seconds before opting for a taxi. The key to solving this problem lies in determining the time intervals and their overlap. This scenario is a classic example of continuous probability distribution, specifically focusing on the overlap of time intervals to calculate the likelihood of the man catching the bus.

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  • Understanding of continuous probability distributions
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  • Familiarity with basic statistics concepts
  • Ability to calculate overlaps in time ranges
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Alexsandro
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Interesting question about probability. Someone could help me to find the answer ?
"One bus arrives in the bus station between [12:58 am, 1:02 pm] and wait 15 seconds before to go out. One man arrives in the station bus between [12:59 am, 1:01 pm] and wait 30 seconds before to take a tax. What's the probability of the man to take the bus ? The time is continuous."
 
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I don't see anything interesting about it- it just doesn't make sense. The man arrives on the bus and waits 30 seconds before taking a taxi? Why should he get back on the bus?? Are we to assume that the bus would go in the same direction as he would take a taxi??
 
this is probably a homework problem relating to elementary statistics. Show us your suggestion on how you would adequately account for the problem. hint: find the ranges of the time intervals and the overlap.
 

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