d e f
a 5,3 3,5 8,5
b 1,2 0,2 9,3
c 6,3 2,4 8,9
The game above has a Nash Equilibrium in which Player 1 plays
strategy_ and Player 2 plays strategy _ with probability at least _
(Please, do not use fractions, if your answer is 2/5 use 0.4)
let A= {1,2} and C={8,9}. for each i=1,2, construct
sets B sub i as well as functions f sub i: A to B sub I,
1<=i<=4, with the following properties:
1) g sub 1 ° f sub 1 is onto C but f sub 1 is not onto B sub
I.
2) g sub 2° f sub 2 is one-to-one but g sub 2 is not
one-to-one.
Player II
D E F
____________________
Player I A 8,3 3,5 6, 3
B 3,3 5,5 4,8
C 5,2 3,7 4,9
The Nash Equilibrium in mixed strategies of the game above
is
A) p=(1/2,1/2,0), q=(1/2,1/2,0).
B) p=(1/2,0,1/2), q=(1/2, 0, 1/2).
C) p=(1/3,2/3,0), q=(0, 2/3, 1/3).
D) p=(1/3,1/3,1/3), q=(1/3, 1/3, 1/3).
E) None of the profiles among the options is a Nash
Equilibrium.
Consider the cross: A/a; b/b; C/c; D/d; E/e x A/a; B/b; c/c;
D/d; e/e
a) what proportion of the progeny will phenotypically resemble
the first parent?
b) what proportion of the progeny will genotypically resemble
neither parent?
Q1.
a. Given a schema R (A, B, C, D, E, F) and a set F of
functional
dependencies {A → B, A → D, CD → E, CD → F, C → F, C → E, BD →
E}, find the closure of the set of functional dependencies ?+
b. Given a schema R = CSJDPQV and a set FDs of functional
dependencies FDs = {C → CSJDPQV, SD → P, JP → C, J → S}
1. Find...
If there are 7 total notes C, D, E, F, G, A, and B and if a
five-note melody is selected at random (so that all melodies
counted in part (a) are equally likely to be chosen), what is the
probability that the melody will include exactly two “A” notes, but
no other repeated notes? (A few allowable examples: AACEG, ACAEG,
DFACA, EAABC, etc.)
Seven people (A,B,C,D,E, F, and G) are seated in a row. Suppose
A,B, and
C are freshmen, D and E are sophomores and F and G are juniors. How
many
arrangements are possible if:
(a) D and F must sit together?
(b) A and C must not sit together?
(c) All freshmen must sit together?
(d) All freshmen must sit together, all sophomores must sit
together, and all
juniors must sit together?
(e) Exactly two people sit between A and...
Find the area of △ABC.
Where:A=(3,2), B=(2,4), C=(0,2)
Suppose that a×b=〈−1,1,−1〉〉
and a⋅b=−4 Assume that θ
is the angle between aand b.
Find:
tanθ=
θ=
Find a nonzero vector orthogonal to both
a=〈5,1,5〉, and b=〈2,−4,−1〉
Find a nonzero vector orthogonal to the plane through the
points: A=(0,2,2), B=(−3,−2,2),
C=(−3,2,3).
Find a nonzero vector orthogonal to the plane through the
points: A=(0,1,−1), B=(0,6,−5),
C=(4,−3,−4)..
Consider the following relational schema and set of functional
dependencies.
S(A,B,C,D,E,F,G)
D → E
E → B
C → FG
BE → AC
Is the decomposition of S into S1(E,G,F) and S2(A,B,C,D,G) a
lossless join decomposition?
Choose one of the following queries as your answer: SELECT
’lossy’; SELECT ’lossless’;
Assume that: float a, b, c, d, f; and variables b, c, d, f are
initialized. Write a line of c++ code that calculates the formula
below and stores the result to the variable a: