Data from 14 cities were combined for aâ 20-year period, and the total 280 âcity-years included a total of 119 homicides. After finding the mean number of homicides perâ city-year, find the probability that a randomly selectedâ city-year has the following numbers ofâ homicides, then compare the actual results to those expected by using the Poissonâ probabilities: a. A. P(0)=
b. B. P(1)=
c. C. P(2)=
d. D. P(3)=
e. E. P(4)=

The actual results consisted of 182 city-years with 0 homicides; 79 city-years with one homicide; 17 city-years with two homicides; 2 city-years with three homicides; 0 city-years with four homicides. Compare the actual results to those expected by using the Poisson probabilities. Does the Poisson distribution serve as a good tool for predicting the actual results?

1. Yes, the results from the Poisson distribution probabilities closely match the actual results.
2. No, the results from the Poisson distribution probabilities do not match the actual results.

answer: idk

step-by-step explanation: sry idk

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.

a and c

step-by-step explanation: