The following table shows the distribution of murders by type of weapon for murder cases in a particular country over the past 12 years. Complete parts (a) through (e). Weapon Probability Handgun Rifle 0.474 0.026 Shotgun 0.034 Unknown firearm 0.144 Knives 0.132 Hands, fists, etc. 0.055 Other 0.135 (a) Is the given table a probability model? Why or why not? O A. No; the probability of all events in the table is not greater than or equal to 0 and less than or equal to 1. B. No; 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, and the sum of the probabilities of all outcomes does not equal 1. D. Yes; the rules required for a probability model 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.)

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Weapon
Handgun
Rifle
Probability
The following table shows the distribution of murders by type of
weapon for murder cases in a particular country over the past 12
years. Complete parts (a) through (e).
0.474
0.026
Shotgun
0.034
Unknown firearm
0.144
Knives
0.132
Hands, fists, etc.
0.055
Other
0.135
(a) Is the given table a probability model? Why or why not?
A. No; the probability of all events in the table is not greater than or equal to 0 and less than or equal to 1.
B. No; 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, and the sum of
the probabilities of all outcomes does not equal 1.
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.)
Transcribed Image Text:Weapon Handgun Rifle Probability The following table shows the distribution of murders by type of weapon for murder cases in a particular country over the past 12 years. Complete parts (a) through (e). 0.474 0.026 Shotgun 0.034 Unknown firearm 0.144 Knives 0.132 Hands, fists, etc. 0.055 Other 0.135 (a) Is the given table a probability model? Why or why not? A. No; the probability of all events in the table is not greater than or equal to 0 and less than or equal to 1. B. No; 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, and the sum of the probabilities of all outcomes does not equal 1. 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.)
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