(a) Is the given table a probability model? Why or why not?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 64E
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Question
12:26
K
The following table shows the distribution of murders by type Weapon
of weapon for murder cases in a particular country over the
past 12 years. Complete parts (a) through (e).
Handgun
Rifle
(a) Is the given table a probability model? Why or why not?
Shotgun
Unknown firearm
Knives
Hands, fists, etc.
Other
Vo) 1
LTE2.II 4G I
Probability
0.478
0.025
0.034
0.142
0.135
0.057
0.129
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.
72%
OA. If 1000 murders were randomly selected, we would expect about of them to have resulted from a rifle or
shotgun.
OB. If 1000 murders were randomly selected, exactly of them would 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.
(e) Are murders with a shotgun unusual?
O A. If 1000 murders were randomly selected, we would expect about of them to have resulted from a
handgun, rifle, or shotgun.
No
Yes
=
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.)
Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice.
OA. If 1000 murders were randomly selected, we would expect about of them to be have resulted from a
weapon other than a gun.
O
OB. If 1000 murders were randomly selected, exactly of them would have resulted from a weapon other than
a gun.
Transcribed Image Text:12:26 K The following table shows the distribution of murders by type Weapon of weapon for murder cases in a particular country over the past 12 years. Complete parts (a) through (e). Handgun Rifle (a) Is the given table a probability model? Why or why not? Shotgun Unknown firearm Knives Hands, fists, etc. Other Vo) 1 LTE2.II 4G I Probability 0.478 0.025 0.034 0.142 0.135 0.057 0.129 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. 72% OA. If 1000 murders were randomly selected, we would expect about of them to have resulted from a rifle or shotgun. OB. If 1000 murders were randomly selected, exactly of them would 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. (e) Are murders with a shotgun unusual? O A. If 1000 murders were randomly selected, we would expect about of them to have resulted from a handgun, rifle, or shotgun. No Yes = 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.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. OA. If 1000 murders were randomly selected, we would expect about of them to be have resulted from a weapon other than a gun. O OB. If 1000 murders were randomly selected, exactly of them would have resulted from a weapon other than a gun.
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