A subset of a power set.
(a)
Let X = {a, b, c, d}. What is...
A subset of a power set.
(a)
Let X = {a, b, c, d}. What is { A: A ∈ P(X) and |A| = 2 }?
comment: Please give a clear explanation to what this
set builder notation translate to? Because I've checked the answer
for a) and it is A= {{a,b}, {a,c}, {a,d}, {b,c}, {b,d},
{c,d}}.
I don't understand because the
cardinality of A has to be 2 right? Meanwhile, the answer is
basically saying there's 6 elements. So...
Let S = {A, B, C, D, E, F, G, H, I, J} be the set...
Let S = {A, B, C, D, E, F, G, H, I, J} be the set consisting of
the following elements:
A = N, B = 2N , C = 2P(N) , D = [0, 1), E = ∅, F = Z × Z, G = {x
∈ N|x 2 + x < 2}, H = { 2 n 3 k |n, k ∈ N}, I = R \ Q, J =
R.
Consider the relation ∼ on S given...
Suppose thatA∼N(μ= 3,σ= 5),B∼N(μ= 2,σ= 4), andC∼Exp(λ= 1/6)
areindependent RVs. Find the distribution (shape, center, spread)...
Suppose thatA∼N(μ= 3,σ= 5),B∼N(μ= 2,σ= 4), andC∼Exp(λ= 1/6)
areindependent RVs. Find the distribution (shape, center, spread)
of the following RV expressions and state whether the distribution
is exactly or approximately equal to your claim.
1.D=A+B
2.E= 3A−2B
3.F=A1+A2+···+A14, whereA1,...,A14are independent values
fromA.
4.G=C1+C2+···+C47, whereC1,...,C47are independent values
fromC.
Let X = {1, 2, 3} and Y = {a, b, c, d, e}.
(1) How...
Let X = {1, 2, 3} and Y = {a, b, c, d, e}.
(1) How many functions f : X → Y are there?
(2) How many injective functions f : X → Y are there?
(3) What is a if (x + 2)10 = x 10 + · · · + ax7 + · · · + 512x +
1024?
2. For the production function ?(?, ?) = 10 ?^(1/3) ?^(1/ 3)
A)Write down the Lagrangian...
2. For the production function ?(?, ?) = 10 ?^(1/3) ?^(1/ 3)
A)Write down the Lagrangian for the cost minimization
problem
B)Find the first-order conditions for the cost minimization
problem and e what they mean (economic terms, not math).
C). Find the contingent input demand functions. Give an
intuitive explain what they are.
D). Find the firm supply function for a firm that is a price
taker. Give an intuitive explanation of what it is.
d. Find the firm supply...
Let the population have N=7 units, with {(unit,value)} =
{(A,-1),(B,+1),(C,-2),(D,+3),(E,-4),(F,+5),(G,-6)}. The design is
as follows: first...
Let the population have N=7 units, with {(unit,value)} =
{(A,-1),(B,+1),(C,-2),(D,+3),(E,-4),(F,+5),(G,-6)}. The design is
as follows: first choose A or B at random; if A then choose from
{C,D} at random, if B then choose from {E,F,G} at random. 1) Find
the first-order inclusion probabilities (note that the sample size
n is fixed at 2).
Verify (show numerically for this example) that the
Horvitz-Thompson estimator is unbiased for the population total.
(Hint: find the probability of each sample and the value...
Let f(x)=(1/2)(x/5), x=1,2,3,4 Hint: Calculate F(X).
Find; (a) P(X=2) , (b) P(X≤3) , (c) P(X>2.5), (d)...
Let f(x)=(1/2)(x/5), x=1,2,3,4 Hint: Calculate F(X).
Find; (a) P(X=2) , (b) P(X≤3) , (c) P(X>2.5), (d) P(X≥1), (e)
mean and variance, (f) Graph F(x)