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*4.41 What is the expected number of otitis-prone families of 100 five-sibling families?

*4.41 What is the expected number of otitis-prone families of 100 five-sibling families?

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
Problem 1P
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Please answer only 4.41
**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 | **Discussion:** The table shows the number of infants who remain disease-free from a cohort of 2500, tracked over the first year of life, at monthly intervals. **Questions:** *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? *4.41* What is the expected number of otitis-prone families of 100 five-sibling families?
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 | **Discussion:** The table shows the number of infants who remain disease-free from a cohort of 2500, tracked over the first year of life, at monthly intervals. **Questions:** *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? *4.41* What is the expected number of otitis-prone families of 100 five-sibling families?
**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 *i*th month of life, *i* = 0, 1, . . . , 12. (Assume no infants have been lost to follow-up.) **Exercise 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? **Exercise 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 *i*th month of life, *i* = 0, 1, . . . , 12. (Assume no infants have been lost to follow-up.) **Exercise 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? **Exercise 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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