The medical records of infants delivered at Kaiser Memorial Hospital show tl distribution of infant lengths at birth (in inches) are N(20, 2.6). Find the pro nfants among those delivered at the hospital who have the following measur At least 22 inches
The medical records of infants delivered at Kaiser Memorial Hospital show tl distribution of infant lengths at birth (in inches) are N(20, 2.6). Find the pro nfants among those delivered at the hospital who have the following measur At least 22 inches
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The medical records of infants delivered at Kaiser Memorial Hospital show that the
distribution of infant lengths at birth (in inches) are N(20, 2.6). Find the proportion of
infants among those delivered at the hospital who have the following measures.
At least 22 inches.
At most 18 inches.
Expert Solution

Step 1
Given information:
Mean=20
Standard deviation=2.6
The proportion of infants among those delivered at the hospital at least 22 inches is,
P(X>=22)
=P((X-mean)/sd>=(22-mean)/sd)
=P(z>=(22-20)/2.6)
=P(z>=0.77)
=1-P(z<0.77)
=1-0.7794 from the standard normal table
=0.2206
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