Question

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

	Male	Female	Child	Total
Survived	294	335	71	720
Died	1198	113	53	1364
Total	1492	468	124	2084

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

nothing

(Round to three decimal places as needed.)

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

nothing

(Round to three decimal places as needed.)

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

nothing

(Round to three decimal places as needed.)

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

nothing

(Round to three decimal places as needed.)

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

nothing

(Round to three decimal places as needed.)

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

nothing

(Round to three decimal places as needed.)

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

nothing

(Round to three decimal places as needed.)

(h) If a male passenger is selected at random, what is the probability that he survived?

nothing (Round to three decimal places as needed.)

(i) Do you think the adage "women and children first" was adhered to on this ship?

A. No, because the survival rate for men was about the same as the survival rates for women and children.

B. No, because the survival rate for men was higher than the survival rates for women and children.

C. Yes, because the survival rate for men was much lower than the survival rates for women and children.

(j) Suppose two females are randomly selected. What is the probability both survived?

(Round to three decimal places as needed.)

C.

Yes, because the survival rate for men was much lower than the survival rates for women and children.

(j) Suppose two females are randomly selected. What is the probability both survived?

(Round to three decimal places as needed.)

Answer 1

(a) If a passenger is selected at random,the probability that the passenger survived = 720 / 2084 = 0.345

(b) If a passenger is selected at random,the probability that the passenger was female = 468 / 2084 = 0.225

(c) If a passenger is selected at random,the probability that the passenger was female or a child =

( 468 + 124 ) / 2084 = 0.284

(d) If a passenger is selected at random, the probability that the passenger was female and survived = 335 / 2084 = 0.161

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

( 720 + 468 - 335 ) / 2084 = 0.409

(f) If a female passenger is selected at random, the probability that she survived = 335 / 468 = 0.716

(g) If a child passenger is selected at random, the probability that the child survived = 71 / 124 = 0.573

(h) If a male passenger is selected at random, the probability that he survived = 294 / 1492 = 0.197

(i) Do you think the adage "women and children first" was adhered to on this ship?

Answer : C. Yes, because the survival rate for men was much lower than the survival rates for women and children.

(j) Suppose two females are randomly selected, the probability both survived =

= ( Probability that a female survives ) * ( Probability that a female survives )

= ( Probability that a female survives )²

= 0.716² = 0.513