SOLUTION: It is given that on average 6 birds per half hour are coming to a water pond during a hot summer day. Find the probability that a. Exactly 7 birds will come to the water pond in h

Question 1156380: It is given that on average 6 birds per half hour are coming to a water pond during a hot summer day. Find the probability that
a. Exactly 7 birds will come to the water pond in half an hour period.
b. Exactly 7 birds will come to the water pond in 15 minutes period.
c. More than 8 birds will come to the water pond in 45 minute period.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
7 coming to the pond with parameter 6 is e^(-6)*6^7/7!=0.1377
in 15 minutes the parameter is 3 (Poisson is proportional to time) so e^(-3)3^7/7!=0.0216
More than 8 birds is 9 or more which is 0.544 from the table (complement). The table shows 0.456 through 8 as cumulative.
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