Find a 3 x 3 stochastic matrix A that has exactly one initial state vector that will generate a Markov chain with a steady-state vector. A= 0.4 0.3 0.3 0.2 0.6 0.2 0.1 0.4 0.5
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- Suppose Var(X) = 36, Var(Y) = 42, and X and Y are independent. What is Var(.25X + .75Y)? Suppose Var(X) = 63, Var(Y) = 87, and X and Y are independent. What is Var(.79X + .21Y)? Suppose that Var(X) = 907.96, Var(X) = 10219.44, and Cov(X,Y) = 2694.59. What is Var(.33X + .67Y)?X(t) is a wide sense stationary stochastic process with autocorrelation function sin(271000r) R„(T)=10- 271000r The process Y(t) is a version of X(t) delayed by 50 micro seconds. {Y(t) = X(t - t0)} (a) Derive the autocorrelation function of Y (t). (b) Derive the cross-correlation function of X(t) and Y (t). (c) Are X(t) and Y (t) jointly wide sense stationary? IUnloaded File DetailsWhy might log (nox)and rooms be negatively correlated?
- In a certain store, cashiers can serve 45 customers per hour on average. If a customers arrive at the store in a given hour, then the average number of customers C waiting in line can be modeled by the function x² C(x) = 2025 - 45x where x < 45. Answer the following questions with a graphing calculator. Round your answers to integers. 1) If 40 customers arrived in the store in the past hour, there are approximately 7 2) If there are 2 customers waiting in line, approximately customers waiting in line. customers arrived in the past hour.Traders often buy foreign currency in the hope of making money when the currency’s value changes. For example, on April 15, 2015, one U.S. dollar could purchase 0.9428 euro, and one euro could purchase 126.457 yen. Let f(x) represent the number of euros you can buy with x dollars, andlet g(x) represent the number of yen you can buy with x euros.(a) Find a function that relates dollars to euros.(b) Find a function that relates euros to yen.(c) Use the results of parts (a) and (b) to find a function that relates dollars to yen. That is, find (g ∘ f) (x) = g(f(x) ).(d) What is g(f(1000) )?Find f'(x). T(x) = 2x° (x* - 2) 5 f'(x) =O
- An electronics retailer wants to send codes for $10 off a pair of headphones to the subscribers of its e-mail list. The coupon code will have two letters followed by three digits. The letters A , B , C , and D and the digits 6 and 9 will not be used. So, there are 22 letters and 8 digits that will be used. Assume that the letters and digits can be repeated. How many such coupon codes can be generated? couponcodesPlease give a detailed solution with an explanation. Please make sure the graph is visible, clear, and detailed. Make sure to include the new equilibrium coordinate point as well.The circulation C of a certain magazine as a function of time t is given by the formula c=5.2/0.1+0.3t Here C is measured in thousands and t is measured in years since the beginning of 2006 when the magazine was started. Find when the circulation of the magazines will reach 34.83 thousand. Write the equation you are solving.
- Suppose that Var(X) = 661.1, Var(X) = 8021.53, and Cov(X,Y) = 1922.11. What is Var(.64X + .36Y)? Suppose that Var(X) = 869.03, Var(X) = 7850.84, and Cov(X,Y) = 2238.69. What is Var(.67X + .33Y)?quiz 1 (page 1 of 5) 105 econ مبادئ في الاقتصاد الرياضی ش 2 و ش elearning yu.edu.jo Question 1 Not yet answered Question 3 Marked out of 1.00 Not yet answered Marked out of 1.00 **Assume that you have the following equations: Simplify the following expression: 3X(8x+9)- X(X+7) 4P+4Q=16 2P-Q=2 The equilibrium price is: O a. 23x2 + 20X O a. P=5 O b. X2-30X O b. P=6 O c. 25X2 + 32X Oc. P-2 d. 21X2-24X O d. P-4 e. None of the above O e. None of the above Clear my choice Clear my choice Next page Next page Quiz navigation Quiz navigation 12 31 4 ...Suppose Var(X) = 88, Var(Y) = 82, and X and Y are independent. What is Var(.36X + .64Y)? Suppose Var(X) = 26, Var(Y) = 74, and X and Y are independent. What is Var(.36X + .64Y)?