4.20 Murder Victims. As reported by the Federal Bureau of Inves- al tiation in C

Question

4.20 Murder Victims. As reported by the Federal Bureau of Inves- al tiation in Crime in the United States, the age distribution of murder victims between 20 and 59 years old is as shown in the following u- s.table. Age (yr) Frequency 20-24 25-29 30-34 35-39 40-44 45-49 50-54 55-59 2329 1892 1414 1046 900 854 673 500 A murder case in which the person murdered was between 20 and 59 years old is selected at random. Find the probability that the mur- der victim was a. between 40 and 44 years old, inclusive. b. at least 25 years old, that is, 25 years old or older. c. between 45 and 59 years old, inclusive. d. under 30 or over 54.

Explanation / Answer

Ans:

a)P(40-44)=900/9608=0.094

b)P(atleast 25 years)=1-P(less than 25)=1-(2329/9608)=1-0.242=0.758

c)P(45-59)=(854+673+500)/9608=0.211

d)P(under 30 or over 54)=P(under 30)+P(over 54)=((2329+1892)/9608)+(500/9608)

=0.439+0.052

=0.491

Age Frequency Rel.freq.=f/9608 20-24 2329 0.242 25-29 1892 0.197 30-34 1414 0.147 35-39 1046 0.109 40-44 900 0.094 45-49 854 0.089 50-54 673 0.070 55-59 500 0.052 Total= 9608 1

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