Question:

Following the principles of Epidemiologic inquiry, answer the following questions regarding one health determinant in Fredericksburg county in Virginia. www.countyhealthrankings.org, www.vdh.virginia.gov, www.cdc.gov/brfss/smart/smart_data.htm 1) Person: Describe the population expressing the determinant. How many (percentage of population or rate) are described by this determinant?. How is the determinant expressed in the population (age, gender, education, socioeconomic status, or other characteristics)? Compare segments of the population (who has the most/least, at greatest/least risk)? 2) Place: Describe the location with regard to the determinant. Is the determinant seen more in urban or rural regions? What other characteristics define the prevalence of the determinant in the region (housing, geography, topography, etc.)? Compare other locations with the one you selected (how does prevalence compare in neighboring counties, the state, or the nation)? ?3) Period: Describe the time trends of the determinant Over the past few years, has the prevalence rate decreased or increased or stayed about the same? (i.e., is it getting better or worse?) Compare the time trends of the state and the nation with those of your location. Are they better, worse, or similar? ?4) Conclusion: From the information you gathered about the health determinant, describe a priority population within Fredericksburg county you investigated in which to address the health determinant of focus

A Y = Ar 4 By 4 0x 1 - Applying the state space theories to determine the transition matrix & this system. show steps in detail.8. An important distribution in the multivariate setting is the multivariate normal distribution. Let X be a random vector in RK. That is X1 X2 X = X ... with X1, X2, ..., Xx random variables. If X has a multivariate normal distribution, then its joint pdf is given by 1 (x) = (27)k/2 ( det 2) 1/2 exp -2(x -1) 72-1(x-1) with parameters #, a vector in R", and E, a matrix in R*x*. > is the covariant matrix. Note that det > is the determinant of matrix E. And E(X1 ) E(X 2) H = E(Xk) (a) Consider the bivariate case where k = 2. Let of and o2 be the standard deviations of r.v. X1 and X2 respectively. Let p be their correlation coefficient. Determine the form of E, the covariate matrix, in terms of 61, 02 and p12. (b) If X] ~ N(0, 3), X2 ~ N(0, 4), p = -1/4 and it is known that X = [X1 X2]" has a bivariate normal distribution. Determine the joint pdf of (X1, X2).Problem In a queueing system there is one server. Customers arrive at the queueing system according to a Poisson process with arrival rate 20 customers per hour. An arriving customer finding n people in the system, immediately leaves with probability In = n = 0,1, ..., 4. Customers that join the system are served in order of arrival and the service times are assumed to be independent and exponentially distributed with a mean service time equal to 3 minutes. Let X(t) denote the number of customers in the system at time t. Assume that X (0) = 0. a) Explain why X(t) is a birth and death process and give the birth and death rates. What is the probability that the first customer has departed the queue- ing system before the next customer arrives? b) What is the expected time until the first customer arrives at the queue- ing system? What is the expected time until there is, for the first time, 4 customers in the system