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Does anyone know how to solve this question?

Traffic on a road follows a Poisson process with rate $\displaystyle \frac 23$'s of a car per minute. $10$% of vehicles are trucks and the other $90$% are cars.

a) What is the probability at least one truck passes in an hour?

b) Given that $10$ trucks have passed by in an hour, what is the expected number of total vehicles that have passed by?

c)Given that $50$ vehicles have passed by in an hour, what is the probability there were exactly $5$ trucks and $45$ cars?

Cheers

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    What do you know? What have you tried? Where are you stuck?2011-05-26

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