Question

The mean number of accidents per month at a certain intersection is 1. a) What is the probability that in any given year at least 3 accidents (including 3 accidents) will occur at this intersection? [10 points] b) What’s the mean and variance for the number of accident for a given year? [10 points]

Answer 1

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

(1) mean value = 6

use excel function POISSON(x,mean,cumulative)

set x = 4, mean =6 and cumulative = TRUE

P(X>4) =1 -POISSON(4,6,TRUE) = 0.7149

(2) mean value = 6

use excel function POISSON(x,mean,cumulative)

set x = 1, mean =6 and cumulative = TRUE

P(X \le 1) =POISSON(1,6,TRUE) = 0.0174