I can figure out part but not all of it. Suppose the data to the right represent

Question

I can figure out part but not all of it.

Suppose the data to the right represent the survival data for the a certain ship that sank. The males are adult males and the females are adult females. Complete parts (a) through (j).

If a passenger is selected at random, what is the probability that the passenger survived?

If a passenger is selected at random, what is the probability that the passenger was female?

If a passenger is selected at random, what is the probability that the passenger was female or a child?

      .266

d) If a passenger is selected at random, what is the probability that the passenger was female and survived?

            .175

(e) If a passenger is selected at random, what is the probability that the passenger was female or survived?

(f) If a female passenger is selected at random, what is the probability that she survived?

g) If a child passenger is selected at random, what is the probability that the child survived?

Male Female Child Total Survived 254 392 59 705 Died 1391 88 57 1536 Total 1645 480 116 2241

Explanation / Answer

(a)

Out of 2241 passengers, 705 passengers survived so the probability that the passenger survived is

P(survived) = 705 /2241 = 0.3146

(b)

Out of 2241 passengers, 480 passengers are female so the probability that the passenger is female is

P(female) = 480 /2241 = 0.2142

(c)

P(female) = 480 /2241

P(child) = 116 /2241

Female and child are mutually exclusive so if a passenger is selected at random, the probability that the passenger was female or a child is

P(female or child) = P(female) + P(child) = 480 /2241 + 116/2241 = 0.2660

(d)

If a passenger is selected at random, the probability that the passenger was female and survived is

P(female and survived) = 392 /2241 = 0.1749

(e)

If a passenger is selected at random, the probability that the passenger was female or survived is

P(female or survived) = P(female) + P(survived) - P(female and survived)= 480/2241+705 /2241 -392 /2241 = 0.3539

(f)

Out of 480 females, 392 survived so

P(survived|female) = 392/480 = 0.8167

(g)

Out of 116 children, 59 survived so

P(survived|child) = 59/116 = 0.5086

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