The following table shows the distribution of murders by type of weapon for murder cases in a particular country over the past 12Weapon years. Complete parts (a) through (e). Probability 0.472 Handgun Rifle 0.027 Shotgun Unknown firearm Knives Hands, fists, etc. Other 0.035 0.141 0.133 0.056 0.136 (a) Is the given table a probability model? Why or why not? O A. No; the sum of the probabilities of all outcomes does not equal 1. O B. No; the probability of all events in the table is not greater than or equal to 0 and less than equal to 1, and the sum of the probabilities of all outcomes does not equal 1. OC. No; the probability of all events in the table is not greater than or equal to 0 and less than or equal to 1. O D. Yes; the rules required for a probability model are both met. (b) What is the probability that a randomly selected murder resulted from a rifle or shotgun? P(rifle or shotgun) =O(Type a decimal rounded three decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
(This is for the questions after D. i could not get them all in two screenshots).
![The following table shows the distribution of murders by type of weapon for murder cases in a particular country over the past 12Weapon
Handgun
Rifle
Probability
years. Complete parts (a) through (e).
0.472
0.027
0.035
Shotgun
Unknown firearm
0.141
Knives
0.133
0.056
0.136
Hands, fists, etc.
Other
(a) Is the given table a probability model? Why or why not?
O A. No; the sum of the probabilities of all outcomes does not equal 1.
B. No; the probability of all events in the table is not greater than or equal to 0 and less than or equal to 1, and the sum of the probabilities of all outcomes does not equal 1.
C. No; the probability of all events in the table is not greater than or equal to 0 and less than or equal to 1.
O D. Yes; the rules required for a probability model are both met.
(b) What is the probability that a randomly selected murder resulted from a rifle or shotgun?
P(rifle or shotgun) = |(Type a decimal rounded to three decimal places as needed.)
Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F316b9fb8-786b-46ea-88c1-7ee5d29148de%2Fd2d07258-2f8c-48e0-9219-dc4655a1f68e%2Ftkaukah_processed.png&w=3840&q=75)
![Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice.
O A. If 1000 murders were randomly selected, exactly
of them would have resulted from a rifle or shotgun.
O B. If 1000 murders were randomly selected, we would expect about
of them to have resulted from a rifle or shotgun.
(c) What is the probability that a randomly selected murder resulted from a handgun, rifle, or shotgun?
P(handgun, rifle, or shotgun) =
(Type a decimal rounded to three decimal places as needed.)
Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice.
O A. If 1000 murders were randomly selected, we would expect about
of them to have resulted from a handgun, rifle, or shotgun.
O B. If 1000 murders were randomly selected, exactly
of them would have resulted from a handgun, rifle, or shotgun.
(d) What is the probability that a randomly selected murder resulted from a weapon other than a gun?
P(weapon other than a gun) =
(Type a decimal rounded to three decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F316b9fb8-786b-46ea-88c1-7ee5d29148de%2Fd2d07258-2f8c-48e0-9219-dc4655a1f68e%2Fykkhilm_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
![Elementary Statistics: Picturing the World (7th E…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
![Introduction to the Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)