On average, Chance has noticed that 19 trains pass by his house daily (24 hours) on the nearby train tracks. What is the probability that at most 6 trains will pass his house in a 8-hour time period? (Round your answer to three decimal places.)

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) =

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(X18)

=0.4695

=0.470

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.