The following data are derived from the Monthly Vital Statistics Report (October 1999) issued by the National Center for Health Statistics [10]. These data are pertinent to livebirths only. Suppose that infants are classified as low birthweight if they have a bírthweight <2500 g and as normal bírthweight if they have a birthweight 22500 g. Suppose that infants are also classified by length of gestation in the following five categories: <28 weeks, 28-31 weeks, 32–35 weeks, 36 weeks, and 237 weeks. Assume the probabilities of the dif- ferent periods of gestation are as given in Table 3.8. Also assume that the probability of low birthweight is .949 gíven a gestatíon of <28 weeks, .702 given a gestatíon of 28-31 weeks, .434 given a gestation of 32-35 weeks, .201 given a gestation of 36 weeks, and .029 given a gesta- tion of 237 weeks.

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Show that the events {length of gestation ≤ 31 weeks} and {low birthweight} are not independent.

The following data are derived from the Monthly Vital
Statistics Report (October 1999) issued by the National
Center for Health Statistics [10]. These data are pertinent
to livebirths only.
Suppose that infants are classified as low birthweight if they
have a bírthweight <2500 g and as normal bírthweight if
they have a birthweight 22500 g. Suppose that infants are
also classified by length of gestation in the following five
categories: <28 weeks, 28-31 weeks, 32-35 weeks, 36
weeks, and 237 weeks. Ássume the probabílities of the dif-
ferent periods of gestation are as given in Table 3.8.
Also assume that the probability of low birthweight is .949
gíven a gestatíon of <28 weeks, .702 gíven a gestatíon of
28-31 weeks, .434 given a gestation of 32-35 weeks,
.201 given a gestation of 36 weeks, and .029 given a gesta-
tion of 237 weeks.
Transcribed Image Text:The following data are derived from the Monthly Vital Statistics Report (October 1999) issued by the National Center for Health Statistics [10]. These data are pertinent to livebirths only. Suppose that infants are classified as low birthweight if they have a bírthweight <2500 g and as normal bírthweight if they have a birthweight 22500 g. Suppose that infants are also classified by length of gestation in the following five categories: <28 weeks, 28-31 weeks, 32-35 weeks, 36 weeks, and 237 weeks. Ássume the probabílities of the dif- ferent periods of gestation are as given in Table 3.8. Also assume that the probability of low birthweight is .949 gíven a gestatíon of <28 weeks, .702 gíven a gestatíon of 28-31 weeks, .434 given a gestation of 32-35 weeks, .201 given a gestation of 36 weeks, and .029 given a gesta- tion of 237 weeks.
TABLE 3.8 Distribution of length of gestation
Length of gestation
Probability
<28 weeks
.007
28-31 weeks
.012
32-35 weeks
.050
36 weeks
.037
237 weeks
893
Transcribed Image Text:TABLE 3.8 Distribution of length of gestation Length of gestation Probability <28 weeks .007 28-31 weeks .012 32-35 weeks .050 36 weeks .037 237 weeks 893
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