5. Consider that in 1915 that the population in the United States was 100 million. Suppose the population at that time was growing at 1 million people per year; and that by 1960 the population was 180 million with a growth rate of 2 million per year. Determine both the limiting population M and the predicted population for the year 2000 (making the needed assumptions).

12   The annual usage time of the device whose failure time follows the exponential distribution is 1,000 hours. What is the average life expectancy required to be designed to adjust the annual failure rate of this device to within 5%?

3. In the following example, a cohort of six individuals was followed for 100 days after an outbreak of a viral infection in a hospital ward. The graph below shows how many days each subject remained in the study as a non-case (not infected). Those who completed the study as non-cases reached 100 days - the rest fell ill and did become cases. Since we know person-time is used to determine the amount of time at risk, calculate the total time contributed by all six subjects in this study. Note for submission: please make sure to include your units and interpretation in your Worksheet so you have it for review for the midterm, even if Blackboard doesn't allow for this information to be included in your submitted answer! Calculating Person-days F 64 E 100 D. 100 37 55 12 20 40 60 80 100 Days