Q1. Consider the following table x-2-02 f(x) 1/8 2/8 2/8 2/8 /8 a) Explain why the following function can represent a probability mass function. b) Determine the requested probabilities i. P(X S 1) iv. P(X s-1 or X= 2 )
2^x-8/8=square root of 2
10+ 8 6 4 2 10 -8 2 4 6 8 10 -6 -4 -2 -2 -4 -6 -8 -10 Find the y-intercept of the line. Write your answer as a coordinate point. y-intercept=
Find the sum of the following sequence: 8, 2, 3 2' 8
If [-9-8 2 ] is an eigenvector of [[8 -4 2][4 0 2][0 -2 -4]]T, the eigenvalue corresponding to the eigenvector is: Pick one of the choices 0-9
2 5 3724042533584 8 | 9 | 5 | 8 | 0 | 2 | 4 | 2 | 6 | 6 | 5|3|6|0|4|||9|||3|||7-8-0-5-4-5-5-9-7-5-9 5 3-1 XI-7-11-797991716861-1181169186918 220 0 7216525773078767376022439 X2815|1313|2|53615351278|6845878718
Determine which of the following is true for the transfer function below: C(s) 2(8+1) R(8) 8(8+2) = (Hint: Poles are the roots for the denominator of the transfer function denoted by "x" in the graph and Zeros are the roots for the numerator of the transfer function denoted by "o" in the graph) System is overdamped System is undamped jw الماز s-plane s-plane O -2 -2 -1 The transfer function of the system described by dy + 3 + 2y...
Solve for : log (2x + 8) = 2 Write log (2x + 8) = 2 in exponential form. Find the value of 2. > Next Question
Practice Exercise 1 At 500 K, the reaction 2 NO(8) + Cl2(8) = 2 NOCI(8) has K, = 51. In an equilibrium mixture at 500 K, the partial pres- sure of NO is 0.125 atm and Cl, is 0.165 atm. What is the par- tial pressure of NOCI in the equilibrium mixture? (a) 0.13 atm (b) 0.36 atm (c) 1.0 atm (d) 5.1 x 10-5 atm (e) 0.125 atm Practice Exercise 2 At 500 K, the reaction PC15(8) = PC13(8) + Cl2(8) has...
10x-8 25x2-16 x+2 x+x-2 8. (10pts) Divide and simplify:
10x-8 25x2-16 x+2 x+x-2 8. (10pts) Divide and simplify: