Consider a Poisson distribution with an average of 3 customers per minute at the local grocery store. Determine the expected number of customer arrivals for a five-minute period. (hint: this is the u)...

Consider a
Poisson
distribution with an average of 3 customers per minute at the local grocery store.

1. 
   
   
   
   1. Determine the expected number of customer arrivals for a five-minute period. (hint: this is the u)
   
   
   2. If X = the number of arrivals per minute:
      Find the probability of 10 customers or less arriving within a minute.
   
   
   3. Find the probability of more than 7 customers arriving within a minute.