# Question

The following probability model shows the distribution of murders by type of weapon for murder cases in 2009.

Weapon ...... Probability

Handgun ....... 0.473

Riﬂe ....... 0.026

Shotgun ....... 0.031

Unknown ﬁrearm .... 0.141

Knives ....... 0.134

Hands, ﬁsts, etc. ... 0.059

Other ....... 0.136

(a) Verify that this is a probability model.

(b) What is the probability that a randomly selected murder resulted from a riﬂe or shotgun? Interpret this probability.

(c) What is the probability that a randomly selected murder resulted from a handgun, riﬂe, or shotgun? Interpret this probability.

(d) What is the probability that a randomly selected murder resulted from a weapon other than a gun? Interpret this probability.

(e) Are murders with a shotgun unusual?

Weapon ...... Probability

Handgun ....... 0.473

Riﬂe ....... 0.026

Shotgun ....... 0.031

Unknown ﬁrearm .... 0.141

Knives ....... 0.134

Hands, ﬁsts, etc. ... 0.059

Other ....... 0.136

(a) Verify that this is a probability model.

(b) What is the probability that a randomly selected murder resulted from a riﬂe or shotgun? Interpret this probability.

(c) What is the probability that a randomly selected murder resulted from a handgun, riﬂe, or shotgun? Interpret this probability.

(d) What is the probability that a randomly selected murder resulted from a weapon other than a gun? Interpret this probability.

(e) Are murders with a shotgun unusual?

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