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Refer to the following information on full-term births in the United States over

ID: 3377592 • Letter: R

Question

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

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.)

Type of Birth Number of Births Single birth 45,300,000 Twins 800,000 Triplets 4000 Quadruplets 100

Explanation / Answer

a)
P( woman who reaches full term delivers twins.) = 800000/(45,300,000+800,000+4000+100) = 0.017

b)

P(woman who reaches full term delivers quadruplets) = 100 / (45300000+800000+4000+100) = 0.0000021~0

c)
P(woman who reaches full term gives birth to more than a single child) = 1 - P( woman who reaches full term gives birth to single child) = 1 - [ 45300000/(45300000+800000+4000+100) ] = 1-0.9825590 = 0.017

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