3. The following data are derived from the Monthly Vital Statistics Report issued by the National Center for Health Statistics in October 1999. Suppose that infants are classified as low birthweight if they have a birthweight less than 2500 g and as normal birthweight if they have a birthweight greater than or equal to 2500 g. Suppose that infants are also classified by length of gestation in the following five categories: less than 28 weeks, 28-31 weeks, 32-35 weeks, 36 weeks, and more than 36 weeks. Assume the probabilities of the different periods of gestation are as given in the accompanying table. Length of gestation Less than 28 weeks Probability 0.007 0.012 28-31 weeks 32-35 weeks 0.050 36 weeks 0.038 More than 36 weeks 0.893 Table 3. Distribution of length of gestation I Also, assume that the probability of low birthweight is 0.949 given a gestation of less than 28 weeks, 0.702 given a gestation of 28 – 31 weeks, 0.434 given a gestation of 32 - 35 weeks, 0.201 given a gestation of 36 weeks, and 0.029 given a gestation of more than 36 weeks. What is the total probability of having a low birthweight infant?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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04.
3. The following data are derived from the Monthly Vital Statistics Report issued by the National
Center for Health Statistics in October 1999.
Suppose that infants are classified as low birthweight if they have a birthweight less than 2500 g
and as normal birthweight if they have a birthweight greater than or equal to 2500 g. Suppose
that infants are also classified by length of gestation in the following five categories: less than 28
weeks, 28-31 weeks, 32-35 weeks, 36 weeks, and more than 36 weeks. Assume the
probabilities of the different periods of gestation are as given in the accompanying table.
Length of gestation
Less than 28 weeks
Probability
0.007
28-31 weeks
0.012
32-35 weeks
0.050
36 weeks
0.038
More than 36 weeks
0.893
Table 3. Distribution of length of gestation
Also, assume that the probability of low birthweight is 0.949 given a gestation of less than 28
weeks, 0.702 given a gestation of 28 - 31 weeks, 0.434 given a gestation of 32 - 35 weeks,
0.201 given a gestation of 36 weeks, and 0.029 given a gestation of more than 36 weeks.
What is the total probability of having a low birthweight infant?
Transcribed Image Text:Reactivate 04. 3. The following data are derived from the Monthly Vital Statistics Report issued by the National Center for Health Statistics in October 1999. Suppose that infants are classified as low birthweight if they have a birthweight less than 2500 g and as normal birthweight if they have a birthweight greater than or equal to 2500 g. Suppose that infants are also classified by length of gestation in the following five categories: less than 28 weeks, 28-31 weeks, 32-35 weeks, 36 weeks, and more than 36 weeks. Assume the probabilities of the different periods of gestation are as given in the accompanying table. Length of gestation Less than 28 weeks Probability 0.007 28-31 weeks 0.012 32-35 weeks 0.050 36 weeks 0.038 More than 36 weeks 0.893 Table 3. Distribution of length of gestation Also, assume that the probability of low birthweight is 0.949 given a gestation of less than 28 weeks, 0.702 given a gestation of 28 - 31 weeks, 0.434 given a gestation of 32 - 35 weeks, 0.201 given a gestation of 36 weeks, and 0.029 given a gestation of more than 36 weeks. What is the total probability of having a low birthweight infant?
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