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An obstetrician does ultrasound examinations on her patients between their 16th and 25th
Chapter 4, Problem 4.5-13(choose chapter or problem)
An obstetrician does ultrasound examinations on her patients between their 16th and 25th weeks of pregnancy to check the growth of each fetus. Let X equal the widest diameter of the fetal head, and let Y equal the length of the femur, both measurements in mm. Assume that X and Y have a bivariate normal distribution with \(\mu_X = 60.6, \sigma_X = 11.2, \mu_Y = 46.8, \sigma_Y = 8.4\), and \(\rho = 0.94\).
(a) Find P(40.5 < Y < 48.9).
(b) Find P(40.5 < Y < 48.9 | X = 68.6).
Questions & Answers
QUESTION:
An obstetrician does ultrasound examinations on her patients between their 16th and 25th weeks of pregnancy to check the growth of each fetus. Let X equal the widest diameter of the fetal head, and let Y equal the length of the femur, both measurements in mm. Assume that X and Y have a bivariate normal distribution with \(\mu_X = 60.6, \sigma_X = 11.2, \mu_Y = 46.8, \sigma_Y = 8.4\), and \(\rho = 0.94\).
(a) Find P(40.5 < Y < 48.9).
(b) Find P(40.5 < Y < 48.9 | X = 68.6).
ANSWER:Step 1 of 5
Given that,
Assume that X and Y have a bivariate normal distribution with 
