Homework Help is Here – Start Your Trial Now!
Math
Probability
ified by length of gestation in the following five categories: <28 weeks, 28-31 "ferent periods of gestation are as given in the table below. gestation Probability 0.006 "eeks wweeks. weeks eeks weeks 0.010 0.049 0.035 0.900 probabilities are given: assume that the probability of low birthweight is 0.948 given a gestation of <28 weeks, iven a gestation of 32-35 weeks, 0.202 given a gestation of 36 weeks, and 0.028 given a gestation of 237 wee mility of having a low birthweight infant? (Round your answer to four decimal places. Hint: Use the Law of Total R ants (length of gestation s 31 weeks) and (low birthweight) are not independent. (Let A (length of gestation ht). Round your answers to four decimal places. Hint: sketch out the contingency table with rows as length of Not Low Birthweight".) x Since P(An B) ✔ P(A) B)- X.Then we find P(A) P(B) en s 31 weeks) and (low birthweight) are not independent. bility of having a length of gestation $36 weeks given that an infant is low birthweight? (Round your answer t

ified by length of gestation in the following five categories: <28 weeks, 28-31 "ferent periods of gestation are as given in the table below. gestation Probability 0.006 "eeks wweeks. weeks eeks weeks 0.010 0.049 0.035 0.900 probabilities are given: assume that the probability of low birthweight is 0.948 given a gestation of <28 weeks, iven a gestation of 32-35 weeks, 0.202 given a gestation of 36 weeks, and 0.028 given a gestation of 237 wee mility of having a low birthweight infant? (Round your answer to four decimal places. Hint: Use the Law of Total R ants (length of gestation s 31 weeks) and (low birthweight) are not independent. (Let A (length of gestation ht). Round your answers to four decimal places. Hint: sketch out the contingency table with rows as length of Not Low Birthweight".) x Since P(An B) ✔ P(A) B)- X.Then we find P(A) P(B) en s 31 weeks) and (low birthweight) are not independent. bility of having a length of gestation $36 weeks given that an infant is low birthweight? (Round your answer t

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
See similar textbooks
icon
Related questions
Question
Obstetrics Suppose that infants are classified as low birthweight if they have a birthweight <2,500 g and as normal birthweight if they have a birthweight 22,500 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 different periods of gestation are as given in the table below. Length of gestation <28 weeks Probability. 0.006 0.010 28-31 weeks 32-35 weeks 36 weeks 0.035 237 weeks 0.900 The following conditional probabilities are given: assume that the probability of low birthweight is 0.948 given a gestation of <28 weeks, 0.700 given a gestation of 28-31 weeks, 0.432 given a gestation of 32-35 weeks, 0.202 given a gestation of 36 weeks, and 0.028 given a gestation of 237 weeks. (a) What is the probability of having a low birthweight infant? (Round your answer to four decimal places. Hint: Use the Law of Total Probability.) 0.06612 0.049 (b) Show that the events (length of gestation ≤ 31 weeks) and (low birthweight) are not independent. (Let A (length of gestation s 31 weeks) and B (low birthweight). Round your answers to four decimal places. Hint: sketch out the contingency table with rows as length of gestation and columns as "Low Birthweight, Not Low Birthweight".) First we find P(An B)= x Then we find P(A) - P(B) - (length of gestation s 31 weeks) and (low birthweight) are not independent. X Since P(An B) P(A) P(8), we know the events (c) What is the probability of having a length of gestation $36 weeks given that an infant is low birthweight? (Round your answer to four decimal places.) x
Transcribed Image Text:Obstetrics Suppose that infants are classified as low birthweight if they have a birthweight <2,500 g and as normal birthweight if they have a birthweight 22,500 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 different periods of gestation are as given in the table below. Length of gestation <28 weeks Probability. 0.006 0.010 28-31 weeks 32-35 weeks 36 weeks 0.035 237 weeks 0.900 The following conditional probabilities are given: assume that the probability of low birthweight is 0.948 given a gestation of <28 weeks, 0.700 given a gestation of 28-31 weeks, 0.432 given a gestation of 32-35 weeks, 0.202 given a gestation of 36 weeks, and 0.028 given a gestation of 237 weeks. (a) What is the probability of having a low birthweight infant? (Round your answer to four decimal places. Hint: Use the Law of Total Probability.) 0.06612 0.049 (b) Show that the events (length of gestation ≤ 31 weeks) and (low birthweight) are not independent. (Let A (length of gestation s 31 weeks) and B (low birthweight). Round your answers to four decimal places. Hint: sketch out the contingency table with rows as length of gestation and columns as "Low Birthweight, Not Low Birthweight".) First we find P(An B)= x Then we find P(A) - P(B) - (length of gestation s 31 weeks) and (low birthweight) are not independent. X Since P(An B) P(A) P(8), we know the events (c) What is the probability of having a length of gestation $36 weeks given that an infant is low birthweight? (Round your answer to four decimal places.) x
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON
SEE MORE TEXTBOOKS