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An obstetrician does ultrasound examinations on her
Chapter 4, Problem 13E(choose chapter or problem)
PROBLEM 13E
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 μX = 60.6, σX = 11.2, μY = 46.8, σY = 8.4, and ρ= 0.94.
(a) Find P(40.5 < Y < 48.9).
(b) Find P(40.5 < Y < 48.9 |X = 68.6).
Questions & Answers
QUESTION:
PROBLEM 13E
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 μX = 60.6, σX = 11.2, μY = 46.8, σY = 8.4, and ρ= 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 3
Given parameters for the bivariate normal distributions are:
