The university police department must write, on average, five tickets per day to keep department revenues at budgeted levels. suppose the number of tickets written per day follows a poisson distribution with a mean of 8.9. find the probability that exactly four tickets are written on a randomly selected day.

3.566%

Step-by-step explanation:

The probability formula for a poisson distribution is:

λ is the average of events

e is the euler's number

k is the number of events you want to know the probability

For this :

λ = 8.9 (on average the number of tickets is 8.9 per day)

k = 4 (you need to find the probability that exactly 4 tickets are written per day)

8(-10x+3.5y-7)

8×-10x + 8×3.5y + 8×-7

-80x + 28y - 56

therefore

-80x+28y-56 is the correct answer

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50