Refer to the following information on fullterm births in the
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 |
Solution
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
