Homework Help is Here – Start Your Trial Now!
Math
Statistics
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 0.009 28-31 weeks 32-35 weeks 36 weeks 237 weeks Also assume that the probability of low birthweight is 0.947 given a gestation of <28 weeks. 0.700 given a gestation of 28-31 weeks, 0.433 given a gestation of 32-35 weeks, 0.199 given a gestation of 36 weeks, and 0.030 given a gestation of 237 weeks. (a) What is the probability of having a low birthweight infant? (Round your answer to four decimal places.) 0.010 0.052 0.038 0.891 (b) Show that the events (length of gestations 31 weeks) and (low birthweight) are not independent. (Let A (length of gestations 31 weeks) and B (low birthweight). Round your answers to four decimal places.) First we find P(AB) - Then we find P(A) - P(B) = - . Since P(AB)-Select--- P(A) - P(B), we know the events (length of gestations 31 weeks) and (low birthweight) are not independent. (c) What is the probability of having a length of gestation s36 weeks given that an infant is low birthweight? (Round your answer to four decimal places.)

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 0.009 28-31 weeks 32-35 weeks 36 weeks 237 weeks Also assume that the probability of low birthweight is 0.947 given a gestation of <28 weeks. 0.700 given a gestation of 28-31 weeks, 0.433 given a gestation of 32-35 weeks, 0.199 given a gestation of 36 weeks, and 0.030 given a gestation of 237 weeks. (a) What is the probability of having a low birthweight infant? (Round your answer to four decimal places.) 0.010 0.052 0.038 0.891 (b) Show that the events (length of gestations 31 weeks) and (low birthweight) are not independent. (Let A (length of gestations 31 weeks) and B (low birthweight). Round your answers to four decimal places.) First we find P(AB) - Then we find P(A) - P(B) = - . Since P(AB)-Select--- P(A) - P(B), we know the events (length of gestations 31 weeks) and (low birthweight) are not independent. (c) What is the probability of having a length of gestation s36 weeks given that an infant is low birthweight? (Round your answer to four decimal places.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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 Probability <28 weeks 28-31 weeks 32-35 weeks 36 weeks 237 weeks 0.009 0.010 0.052 0.038 0.891 Also assume that the probability of low birthweight is 0.947 given a gestation of <28 weeks, 0.700 given a gestation of 28-31 weeks, 0.433 given a gestation of 32-35 weeks, 0.199 given a gestation of 36 weeks, and 0.030 given a gestation of 237 weeks. (a) What is the probability of having a low birthweight infant? (Round your answer to four decimal places.) (b) Show that the events (length of gestation ≤ 31 weeks) and (low birthweight} are not independent. (Let A = {length of gestations 31 weeks) and B = {(low birthweight}. Round your answers to four decimal places.) First we find P(An B) = Then we find P(A) P(B) = Since P(AB) ---Select--- P(A) · P(B), we know the events (length of gestations 31 weeks) and (low birthweight} are not independent. . (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.)
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 Probability <28 weeks 28-31 weeks 32-35 weeks 36 weeks 237 weeks 0.009 0.010 0.052 0.038 0.891 Also assume that the probability of low birthweight is 0.947 given a gestation of <28 weeks, 0.700 given a gestation of 28-31 weeks, 0.433 given a gestation of 32-35 weeks, 0.199 given a gestation of 36 weeks, and 0.030 given a gestation of 237 weeks. (a) What is the probability of having a low birthweight infant? (Round your answer to four decimal places.) (b) Show that the events (length of gestation ≤ 31 weeks) and (low birthweight} are not independent. (Let A = {length of gestations 31 weeks) and B = {(low birthweight}. Round your answers to four decimal places.) First we find P(An B) = Then we find P(A) P(B) = Since P(AB) ---Select--- P(A) · P(B), we know the events (length of gestations 31 weeks) and (low birthweight} are not independent. . (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.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS