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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).
Use a triple integral to find the volume of the given solids. The tetrahedron bounded by the coordinate planes and the plane
a 2005 honda minivan can travel 240 miles in the city on 4 gallons of gas. Find the amount of gas required for 360 miles of city driving.
In Example 3 of Section 2.5, the text shows how to write a system of linear equations using matrix notation. You can similarly write a linear programming problem in matrix notation.
1. give a complete description in words of the surface x - 12 y2 4z - 62 16.2. a build an equation for a hyperboloid
What odds should a person give in favor of the following events?
Moe and Joe flip a slightly unbalanced coin until the one or the other loses all his money. On a single flip Joe wins with probability .49. Joe starts with $8 and Moe start with $4.
Describe Important information about Queuing Theory. Compute the operating characteristics for the drive-through window queuing system.
The pillars of the World II memorial in Washington D.C; are 17 feet tall. A scale model of the memorial has pillars that are 5 inches tall. What is the scale of the model?
from a rectangular piece of cardboard having dimensions 20 inches x 30 inches, an open box is to be made by removing squares of area x^2 from each corner and turning up the sides.
a machine at a casino returns money to the player on 20 of plays. a player makes plays on the machine repeatedly hoping
to prove that the minimal spanning tree in graph is unique.suppose you have n video streams that need to be sent one
During the summer heat, a 2-mile bridge expands 2 ft in length. if we assume that the bulbe occurs straight in the middle, how high is the bulge?
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