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

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!