SOLUTION: Hits on a new business website occur quite frequently. They occur randomly and independently with an average of 6 per week.Find the probability that the site gets more than 3 hits

Question 1122236: Hits on a new business website occur quite frequently. They occur randomly and independently with an average of 6 per week.Find the probability that the site gets more than 3 hits in a week.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
This is a poisson variable with parameter 6.
Greater than 3 is 1-P(0, 1,2,3)
can look it up but can do mathematically.
e^(-6)6^0/0! so for x=0 prob=0.0025
e^(-6)*6^1/1!, so for x=1 prob is 6 times that or 0.0149 rounding at end only.
e^(-6)*6^2/2!, so for x=2 prob is 18 times more than prob 0 or 0.0446
e^0-6)*6^3/3!, so for x=3 prob is 36 times more than prob 0 or twice that of prob 2 or 0.0892
Those add to 0.1512 when rounded appropriately. Table gives 0.1512.
The answer is the complement or 0.8488.
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