Answer:
0.470
Step-by-step explanation:
Given that on average, Chance has noticed that 19 trains pass by his house daily (24 hours) on the nearby train tracks.
For 8 hour period the average would be 19/3
X no of trains passing is Poisson with average 19 trains per hour
P(X=x) = [tex]\frac{19^x e^{-19} }{x!}[/tex]
Required probability = the probability that at most 6 trains will pass his house in a 8-hour time period
=the probability that at most 6*3 trains will pass his house in a 8*3-hour time period
=P(X[tex]\leq[/tex]18)
=0.4695
=0.470
