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)
interpret this probability. select the correct choice below and fill in the answer box to complete your choice
a. if 1000 murders were randomly selected, exactly of them would have resulted from a rifle or shotgun
b. if 1000 murders were randomly selected, we would expect about of them to 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

Explanation:

Step1: Find the probabilities of handgun, rifle and shotgun

From the table, \(P(\text{handgun}) = 0.478\), \(P(\text{rifle})=0.025\), \(P(\text{shotgun}) = 0.033\)

Step2: Use the addition rule for mutually - exclusive events

Since the events (a murder is committed with a handgun, a rifle, or a shotgun) are mutually - exclusive (a murder cannot be committed with more than one of these weapons simultaneously), we use the formula \(P(A\cup B\cup C)=P(A)+P(B)+P(C)\)

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Answer:

\(P(\text{handgun, rifle, or shotgun}) = 0.536\)