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The number of people arriving at an emergency room follows a Poisson distribution with a rate...

The number of people arriving at an emergency room follows a Poisson distribution with a rate of 10 people per hour. 
a.What is the probability that exactly 7 patients will arrive during the next hour? 
b. What is the probability that at least 7 patients will arrive during the next hour?  
c. How many people do you expect to arrive in the next two hours?  
d. One in four patients who come to the emergency room in hospital. Calculate the probability that during the next 2 hours exactly 20 people will arrive and less than 7 will be hospitalized
Math   Statistics-And-Probability   
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