Length of gestation Probability <28 weeks 0.007 28-31 weeks 0.012 32-35 weeks 0.
ID: 3020664 • Letter: L
Question
Length of gestation
Probability
<28 weeks
0.007
28-31 weeks
0.012
32-35 weeks
0.050
36 weeks
0.037
37 weeks
0.893
Also assume that the probability of low birthweight is 0.949 given a gestation of <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 37 weeks.
What is the probability of having a low birthweight infant?
Show that the events {length of gestation 31 weeks} and {low birthweight} are not independent.
What is the probability of having a length of gestation 36 weeks given that an infant is low birthweight?
Length of gestation
Probability
<28 weeks
0.007
28-31 weeks
0.012
32-35 weeks
0.050
36 weeks
0.037
37 weeks
0.893
Explanation / Answer
What is the probability of having a low birthweight infant?
probability = 0.007*0.949 + 0.012 * 0.702 + 0.050 * 0.434 + 0.037 * 0.201 + 0.893 * 0.029
Probability = 0.070101
What is the probability of having a length of gestation 36 weeks given that an infant is low birthweight?
Probability will be = 0.201 * 0.037 / 0.070101
Probaility = 0.1061
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