Question

Table 3.20 gives the number of suicides estimated in the U.S. for a recent year by age, race (black or white), and sex. We are interested in possible relationships between age, race, and sex. We will let suicide victims be our population.

a. Fill in the column for the suicides for individuals over age 64.

b. Fill in the row for all other races.

c. Find the probability that a randomly selected individual was a white male.

d. Find the probability that a randomly selected individual was a black female.

e. Find the probability that a randomly selected individual was black

f. Find the probability that a randomly selected individual was a black or white male.

g. Out of the individuals over age 64, find the probability that a randomly selected individual was a black or white

male.

Short answer

c. Probability is $0.74$.

d. Probability is $0.01$.

e. Probability is $0.067$.

f. Probability is $0.79$.

g. Probability is$0.19$.

Step-by-step solution

Explanation (part a)

a.

over $64$=Totals$-$$(1-14+15-24+25-64)$

From that,

Explanation (part b)

b.

all others$=$$(\mathrm{totals}-(\mathrm{white},\mathrm{male}+\mathrm{white},\mathrm{female}+\mathrm{black},\mathrm{male}+\mathrm{black},\mathrm{female}\left)\right)$

So,

Explanation (part c)

c.

Total no of white,male is $22050$.

Total no of race and sex is $29760$.

So.

Probability of randomly selected individual was white male is,

$\mathrm{P}(\mathrm{white},\mathrm{male})=\frac{22050}{29760}$$=0.74$

Explanation (part d)

d.

$\mathrm{P}(\mathrm{black}\mathrm{male})=\frac{330}{29760}$

$=0.011$

Explanation (part e) 

e.

$\mathrm{P}\left(\mathrm{black}\right)=\frac{\mathrm{male}+\mathrm{female}}{\mathrm{total}}$

$=\frac{2000}{29760}$

$=0.067$

Explanation (part f)

f.

$\mathrm{P}(\mathrm{black}\mathrm{or}\mathrm{white}\mathrm{male})=\frac{22050+1670}{29760}$

$=\frac{23720}{29760}$

$0.79$

Explanation (part g)

g.

$P(over64blackorwhite)=\frac{6020-100}{29760}$

$=\frac{5920}{29760}$

$=0.19$