The following table shows the distribution of murders by type of weapon for murd

Question

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) (a) Is the given table a probability model? Why or why not? 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. 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 an integer or a decimal)

Explanation / Answer

(a) Answer of this question is option D.Yes, the rules required for a probability model are both met.

These rules are :

(i) Probability of each event (here event is type of weapon used to do a murder) is lies between 0 & 1.

(ii) Sum of probability of all events is 1.

(b) We have to find here the probability that the randomly selected murder resulted from rifie or shotgun .

P(rifie or shotgun )=P(rifie )+P(shotgun )

=0.023+0.031

=0.054

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