credit. 2. As reported by the Federal Bureau of Investigation in Crime in the Un
ID: 3050904 • Letter: C
Question
credit. 2. As reported by the Federal Bureau of Investigation in Crime in the United States, the age distribution of murder victims between 20 and 59 years old is as shown in the following table Frequency 25-29 30-34 35-39 40-44 45-49 50-54 55-59 2,175 1,842 1,581 1,213 540 372 11,527 A murder case in which the person murdered was between 20 and 59 years old is selected at random. Find the probability that the murder victim was (Calculations should be done by- hand. Show all your work. Work to 3 decimal places) 6 between 40 and 44 years old, inclusive. at least 25 years old, that is, 25 years old or older. between 45 and 59 years old, inclusive. Under 30 or over 54. a. b. c. d.Explanation / Answer
a) P(between 40 and 44 year) = 1213/11527 = 0.1052
b) P(At least 25 year ) = (11527 - 2916)/11527 = 0.7470
c) P(between 45 and 59 year) = (888 + 540 + 372)/11527 = 0.1562
d) P(under 30 over 50) = P(under 30 ) + P(over 50) - P(under 30 and over 50)
= (1842 + 1581 + 1213 + 888 + 540 + 372)/11527 + (2916 + 2175 + 1842 + 1581 + 1213 + 888)/11527 - (1842 + 1581 + 1213 + 888)/11527 = 1
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