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Members of an indefinitely large population are either immune to a given disease or are susceptible to it. Let Xn be the number of susceptible members in the population at time period n and suppose X0 = 0 and that in the absence of an epidemic X(n+1) = Xn + 1. Thus, in the absence of the disease, the number of susceptibles in the population increases in time, possibly owing to individuals losing their immunity, or to the introduction of new susceptible members to the population.But in each period there is a constant but unknown probability p of a pandemic disease. When the disease occurs all susceptibles are stricken. The disease is non-lethal and confers immunity, so that if T is the first time of disease occurence, then Xt = 0.Compute the stationary distribution for (Xn).
If no two strings in a code differ in fewer than three positions, the we can actually correct a single error, by finding the unique string in the code that differs from the received string in only one position.
However, if they travel in the same direction, the faster car will overtake the slower car in 4.5 hours. Find the speed of both cars, assuming they are traveling at a constant speed.
Suppose a business purchases a new tractor at an original cost of $42,000. Further, suppose this tractor has a useful life of 8 years and a salvage value of $10,000.
The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?
A high school graduating class has 487 students. there are 171 more girls than boys.. How many boys are in the class?
A widget distributer expects to sell 9000 lots of widgets during the coming year at a steady rate. Yearly carying costs (to be computed on the average number of lots in stock during the year) are $35 per lot
10% of all doctors recommend a new headache medicine. if we randomly select 20 doctors (and assume independence), find the probability at least 2 recommend the medicine.
there were 244 pencils altogether. sean put them into 3 boxes. there were 70% more pencils in box A than in box B. there were twice as many pencils in box C than in box A. how many pencils were in each box?
A boy who is 4 feet 2 inches tall stands near a street light that is 23 feet tall. Find a function that models the length L (in feet) of his shadow in terms of his distance d feet from the base of the street light.
What is the highest grade Tom can get if there is only one more 100 point test and all the tests are equally weighted. the teacher rounds final grades to the nearest integer.
after some preliminary analysis it seems that there is difference among mean lifetimes of flashlight batteries of three
Calculate the 95% confidence interval for the population mean, based on the sample mean.
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