MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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# Probability of Live Births with Down Syndrome

The state of New York reported 1,484 live births in which the infants had Down syndrome (trisomy 21) between 2006 and 2010, which averages to about 5.7 cases per week. While the causes of Down syndrome are not fully understood, it is reasonable at this point to assume that live births are independent and the weekly rate is constant. Let \( X \) be the count of babies born with Down syndrome in the state of New York in a given week.

**Source:**
1. C. T. Mai et al., “Selected birth defects data from population-based birth defects surveillance programs in the United States, 2006 to 2010: Featuring trisomy conditions,” *Birth Defects Research*, 97 (2013), pp. 709–725.

**Problem Statement:**
What is the probability that 10 or more children are born with Down syndrome in a given week? Provide your answer to four decimal places.

\[ P(X \geq 10) = \_\_\_\_ \]
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Transcribed Image Text:# Probability of Live Births with Down Syndrome The state of New York reported 1,484 live births in which the infants had Down syndrome (trisomy 21) between 2006 and 2010, which averages to about 5.7 cases per week. While the causes of Down syndrome are not fully understood, it is reasonable at this point to assume that live births are independent and the weekly rate is constant. Let \( X \) be the count of babies born with Down syndrome in the state of New York in a given week. **Source:** 1. C. T. Mai et al., “Selected birth defects data from population-based birth defects surveillance programs in the United States, 2006 to 2010: Featuring trisomy conditions,” *Birth Defects Research*, 97 (2013), pp. 709–725. **Problem Statement:** What is the probability that 10 or more children are born with Down syndrome in a given week? Provide your answer to four decimal places. \[ P(X \geq 10) = \_\_\_\_ \]
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