Maths problem - statistical analysis of complex multi distri

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sivamit

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Maths problem

Hi,
I want to solve this problem for my friend.But I have some questions to ask you.

"Paris Wholesale fruit distributors employ one worker whose job is to load fruit on outgoing company trucks. Trucks arrive at the loading gate at an average of 24 per day , or 3 per hour, according to a Poisson distribution. The worker loads them at a rate of 4 per hour, following approximately the exponential distribution in service times.

Qa. Determine the operating characteristics of this loading gate problem.
What is the probability that there will be more than three trucks either being loaded or waiting.?



Should I calculate different prob for 'waiting and 'loading' conditions.?
If that's the case how to calculate probability of probabilities.?
Is this problem a conditonal probability problem...?


Please help..!!!

Thanks for your time..


Sharon
 

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