Accidents, suicide, and murder are the leading causes of death for young adults.

Question

Accidents, suicide, and murder are the leading causes of death for young adults. Here are the counts of violent deaths in a recent year among people 20 to 24 years of age:

(a) Choose a violent death in this age group at random. What is the probability that the victim was male? (Round your answer to four decimal places.)


(b) Find the conditional probability that the victim was male, given that the death was accidental. (Round your answer to four decimal places.)

FEMALE MALE Accidents 1817 6459 Homicide 458 2870 Suicide 344 2154

Explanation / Answer

Following is the completed table:

(a)

Out of 14102 victim 11483 victims are male so

P(male) = 11483 / 14102 = 0.8143

(b)

Out of 14102, 8276 was accidents so

P(accidents) = 8276 / 14102

And Out of 14102, 6459 were accidents and male so

P(accidents and male) = 6459 / 14102

So  the conditional probability that the victim was male, given that the death was accidental is

P(male | accidents) = 6459 / 8276 = 0.7804

FEMALE MALE Total Accidents 1817 6459 8276 Homicide 458 2870 3328 Suicide 344 2154 2498 Total 2619 11483 14102

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