QUESTION 5 Given the conditional statement thout the use of the words, "f" and "then") "Since...
QUESTION 11 1. If a company produces Product 1, then it must produce at least 150 units of Product 1. Which of the following constraints enforce this condition? a. X, is greater than or equal to 150 + Y b. X1Y is less than or equal to 150 c. X1 - 150Y, is greater than or equal to 0 d. Xi is less than or equal to 150Y 2 points QUESTION 12 1. If a company selects Project 1 then...
IfX= 4, and Y - 6, the arithmetic (simple) average of X and Y is: a 10 oo QUESTION 8 Given Y - 2X, when X= 3, then Yis equal to: 3 5 2/3 312 QUESTION 9 If X is greater than Y, then-X is less than-Y True False QUESTION 10 If X is greater than Y, then (1/%) is greater than (17). True False
Let h : X −→ Y be defined by
h(x) :=
f(x) if x ∈ F
g
−1
(x) if x ∈ X − F
Now we must prove that h is injective and bijective. Starting
with injectivity, let x1, x2 ∈
X such that h(x1) = h(x2). Assume x1 ∈ F and x2 ∈ X −F. Then h(x1)
= f(x1) ∈ f(F)
and h(x2) = g
−1
(x2) ∈ g
−1
(X − F) = Y...
JS: QUESTION 1 A company must invest in project 1 in order to invest in project 2. Which of the following constraints ensures that project 1 will be chosen if project 2 is invested in? a. X1 - X2 is greater than or equal to 0 b.X1 - X2 is less than or equal to 0 c. X1 + X2 is equal to 1 d. X1 + X2 is equal to 0 QUESTION 2 A company wants to select no...
Evaluate the surface integral F dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) -xi yj+3 k S is the boundary of the region enclosed by the cylinder x2 + z2-1 and the planes y 0 and x y 2
Evaluate the surface integral F dS for the given vector field F and the oriented surface...
Question 1(a&b)
Question 3 (a,b,c,d)
QUESTION 1 (15 MARKS) Let X and Y be continuous random variables with joint probability density function 6e.de +3,, х, у z 0 otherwise f(x, y 0 Determine whether or not X and Y are independent. (9 marks) a) b) Find P(x> Y). Show how you get the limits for X and Y (6 marks) QUESTION 3 (19 MARKS) Let f(x, x.) = 2x, , o x, sk: O a) Find k xsl and f(x,...
please do question 4 and 5 and state if the statement is true or
false. please and thank you
1.1 BASIC LOGIC which net "There exits EN such that for every E nd > 1 & Why did we eaten ", bet not > Oor ">" Why didn't we change the and to an "or"? Note that the symbol wands for greater than or equal to and so the nation of i n - lisbot greater than and mot equal...
(f) Find the conditional pmf of X given Z. Identify this
conditional distribution as a distribution known in class, and
give
the explicit parameters for the known distribution.
(g) Find the conditional expectation of X given Z.
2. (Lec 13 &15 & 16 pairs of discrete R.V., conditional pmf and conditional moments, 17 pts) We are studying the flow of packets at a switch, which receives packets from two transmission paths, during a given period of time. Let X and...
(a) Given the following function f(x) below. Sketch the graph of the following function A1. f () 3 1, 12 5 marks (b) Verify from the graph that the interval endpoints at zo and zi have opposite signs. Use the bisection method to estimate the root (to 4 decimal places) of the equation 5 marks] (c) Use the secant method to estimate the root (to 4 decimal places) of the equation 6 marks that lies between the endpoints given. (Perform...
Evaluate the surface integralF F ds for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. S is the boundary of the region enclosed by the cylinder x2 + z2-1 and the planes y O and x y 3
Evaluate the surface integralF F ds for the given vector field F and the oriented surface S. In other words, find the...