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i 0123 SOL 4 5 6 7 8 9 10 11 12 er of intants (of 2500) who remain disease-free at the end of each month during the first year of life Disease-free infants at the end of month i 2500 2425 2375 2300 2180 2000 1875 1700 1500 1300 1250 I 1225 1200 *4.40 Suppose an "otitis-prone family" is defined as one in which at least three siblings of five develop otitis media in the first 6 months of life. What proportion of five-sibling families is otitis prone if we assume the disease occurs in- dependently for different siblings in a family?

i 0123 SOL 4 5 6 7 8 9 10 11 12 er of intants (of 2500) who remain disease-free at the end of each month during the first year of life Disease-free infants at the end of month i 2500 2425 2375 2300 2180 2000 1875 1700 1500 1300 1250 I 1225 1200 *4.40 Suppose an "otitis-prone family" is defined as one in which at least three siblings of five develop otitis media in the first 6 months of life. What proportion of five-sibling families is otitis prone if we assume the disease occurs in- dependently for different siblings in a family?

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
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Please only answer 4.40
**Table 4.16: Number of Infants (of 2500) Who Remain Disease-Free at the End of Each Month During the First Year of Life** | \( i \) | Disease-free infants at the end of month \( i \) | |---------|-----------------------------------------------| | 0 | 2500 | | 1 | 2425 | | 2 | 2375 | | 3 | 2300 | | 4 | 2180 | | 5 | 2000 | | 6 | 1875 | | 7 | 1700 | | 8 | 1500 | | 9 | 1300 | | 10 | 1250 | | 11 | 1225 | | 12 | 1200 | **Note:** This table shows the number of infants who remain disease-free at the end of each month during their first year of life, starting with an initial cohort of 2500 infants. **Problem 4.40:** Suppose an "otitis-prone family" is defined as one in which at least three siblings of five develop otitis media in the first 6 months of life. What proportion of five-sibling families is otitis prone if we assume the disease occurs independently for different siblings in a family?
Transcribed Image Text:**Table 4.16: Number of Infants (of 2500) Who Remain Disease-Free at the End of Each Month During the First Year of Life** | \( i \) | Disease-free infants at the end of month \( i \) | |---------|-----------------------------------------------| | 0 | 2500 | | 1 | 2425 | | 2 | 2375 | | 3 | 2300 | | 4 | 2180 | | 5 | 2000 | | 6 | 1875 | | 7 | 1700 | | 8 | 1500 | | 9 | 1300 | | 10 | 1250 | | 11 | 1225 | | 12 | 1200 | **Note:** This table shows the number of infants who remain disease-free at the end of each month during their first year of life, starting with an initial cohort of 2500 infants. **Problem 4.40:** Suppose an "otitis-prone family" is defined as one in which at least three siblings of five develop otitis media in the first 6 months of life. What proportion of five-sibling families is otitis prone if we assume the disease occurs independently for different siblings in a family?
**Pediatrics, Otolaryngology** Otitis media is a disease that occurs frequently in the first few years of life and is one of the most common reasons for physician visits after the routine checkup. A study was conducted to assess the frequency of otitis media in the general population in the first year of life. Table 4.16 gives the number of infants of 2500 infants who were first seen at birth who remained disease-free by the end of the ith month of life, i = 0, 1, ..., 12. (Assume no infants have been lost to follow-up.) **4.38** What is the probability that an infant will have one or more episodes of otitis media by the end of the sixth month of life? The first year of life? **4.39** What is the probability that an infant will have one or more episodes of otitis media by the end of the ninth month of life given that no episodes have been observed by the end of the third month of life?
Transcribed Image Text:**Pediatrics, Otolaryngology** Otitis media is a disease that occurs frequently in the first few years of life and is one of the most common reasons for physician visits after the routine checkup. A study was conducted to assess the frequency of otitis media in the general population in the first year of life. Table 4.16 gives the number of infants of 2500 infants who were first seen at birth who remained disease-free by the end of the ith month of life, i = 0, 1, ..., 12. (Assume no infants have been lost to follow-up.) **4.38** What is the probability that an infant will have one or more episodes of otitis media by the end of the sixth month of life? The first year of life? **4.39** What is the probability that an infant will have one or more episodes of otitis media by the end of the ninth month of life given that no episodes have been observed by the end of the third month of life?
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