Data from 14 cities were combined for a 20-year period, and the total 280 city-years included a total of 151 homicides. after finding the mean number of homicides per city-year, find the probability that a randomly selected city-year has the following numbers of homicides, then compare the actual results to those expected by using the poisson probabilities: homicides each city-year? a. 0 b. 1 c. 2 d. 3 e. 4

a) P(0)= 0.5832

b) P(1) = 0.3145

c) P(2) = 0.0848

d) P(3) = 0.0153

e) P(4) = 0.0002

Step-by-step explanation:

Number of units in the data(n) = 280

No of homocides(k) = 151

Using Poisson distribution, probability can be calculated as

P(x) = (e^-α * α^x) /x!

α = k/n

α = 151/280

α = 0.5393

a) P(0) =( e^-0.5393 * 0.5393^0) / 0!

= (0.5832 * 1) /1

= 0.5832

b) P(1) =( e^-0.5393 * 0.5393^1) / 1!

= (0.5832 * 0.5393) /1

= 0.3145

c) P(2) =( e^-0.5393 * 0.5393^2) / 2!

= (0.5832 * 0.2908) /2

= 0.1696/2

= 0.0848

d) P(3) =( e^-0.5393 * 0.5393^3) / 3!

= (0.5832 * 0.1569) /6

= 0.0915/6

= 0.0153

e) P(4) =( e^-0.5393 * 0.5393^4) / 4!

= (0.5832 * 0.0846) /24

= 0.0493/24

= 0.0002

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !

can you put the picture up?

step-by-step explanation: