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 Handgun Rifle Probability 0.477 0.023 Shotgun Unknown firearm Knives 0.032 0.146 0.131 Hands, fists, etc. 0.055 Other 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 or equal to 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, and the sum of the probabilities of all outcomes does not equal 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. O A. If 1000 murders were randomly selected, we would expect about of them to have resulted from a rifle or shotgun. O B. If 1000 murders were randomly selected, exactly of them would have resulted from a rifle or shotgun.

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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).
Weapon
Handgun
0.477
Rifle
0.023
Shotgun
0.032
Unknown firearm
0.146
Knives
0.131
Hands, fists, etc.
0.055
Other
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.
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.
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.)
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 rifle or shotgun.
B. If 1000 murders were randomly selected, exactly
of them would have resulted from a rifle or shotgun.
Transcribed Image Text: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). Weapon Handgun 0.477 Rifle 0.023 Shotgun 0.032 Unknown firearm 0.146 Knives 0.131 Hands, fists, etc. 0.055 Other 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. 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. 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.) 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 rifle or shotgun. B. If 1000 murders were randomly selected, exactly of them would have resulted from a rifle or shotgun.
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