A policewoman on the evening shift writes a Poisson mean 6 number of tickets per hour. 2/3’s of these are for speeding and cost $100. 1/3’s of these are for DWI and cost $400. (a) Find the mean and standard deviation for the total revenue from the tickets she writes in an hour. (b) What is the probability that between 2AM and 3AM she writes 5 tickets for speeding and 1 for DWI. (c) Let A be the event that she writes no tickets between 1AM and 1:30, and N be the number of tickets she writes between 1AM and 2AM. Which is larger P(A) or P(A|N = 5)? Don’t just answer yes or no, compute both probabilities.

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm

answer: 5

step-by-step explanation:

since, the range is the difference between the lowest and highest values of the given sample space.

and, here the sample space = { 3, 1, 0, 4, 1, 4, 2, 3, 0, 5, 0, 1, 1, 2, 0, 4, 1,4, 4 ,2 ,3 ,2 ,0 ,1 ,4 }

here, the highest value of the given sample = 5

and, the lowest value = 0

therefore, the range of the sample space = 5 - 0 = 5

step-by-step explanation:

a'(12.5,11.25)

slope=(y1-y2)/(x1-x2)