Question

Refer to the following information on full-term births in the United States over a given period of time.

Type of Birth	Number of Births
Single birth	45,500,000
Twins	200,000
Triplets	2000
Quadruplets	150

Use this information to estimate the probabilities of the following events.

(a) A randomly selected pregnant woman who reaches full term delivers twins. (Give the answer to three significant figures.)


(b) A randomly selected pregnant woman who reaches full term delivers quadruplets. (Give the answer to three significant figures.)


(c) A randomly selected pregnant woman who reaches full term gives birth to more than a single child. (Give the answer to three significant figures.)

Answer 1

ANSWER

Total number of births = 45,500,000+ 200,000+ 2000+ 150= 45,702,150

P(Single birth) = 45,500,000/ 45,702,150= 0.9956

P(twins) = 200,000/ 45,702,150= 0.0044

P(triplets) = 2000/ 45,702,150= 0.000044

P(quadruplets) = 150/ 45,702,150= 0.0000033

a. P(twins) = 0.0044

b. P(quadruplets) = 150/ 45,702,150= 0.0000033

c. P(more than a single child) = P(twins) + P(triplets) + P(quadruplets)

=0.0044 +0.000044 + 0.0000033

= 0.00445

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