a)
b)
c) May be helpful to solve with simulation
If U1, U2, U are i.i.d. Unif(0,1), what's the distribution of -3nU(1-U2 (1-U3))?
If U and V are i.i.d. Unif(0,1), what's the distribution of -2 -ln(U)cos(27V) n(U )sin(27V)?
Homework Answers
Please arrange the pages in
increasing order of the time at which the pictures are taken.Thank
you.
Add Answer to:
a) b) c) May be helpful to solve with simulation Unif(0, 1), what's the distribution of...
1. If U1, U2, U3 are i.i.d. Unif(0,1), what’s the distribution of ? 2. If U...
1. If U1, U2, U3 are i.i.d. Unif(0,1), what’s the distribution of ? 2. If U and V are i.i.d. Unif(0,1), what’s the distribution of + ? -3ln(U1(1- U2)(1 - U3)) -2 cos(2TV)-In(U)) n(U) sin(2T V) -3ln(U1(1- U2)(1 - U3)) -2 cos(2TV)-In(U)) n(U) sin(2T V)
1) In this exercise, we are given the distribution of Sn=U1+U2+…+Un, where Ui are i.i.d. Uniform(a=0,b=1)...
1) In this exercise, we are given the distribution of Sn=U1+U2+…+Un, where Ui are i.i.d. Uniform(a=0,b=1) random variables. a) Find the p.d.f. of S3=U1+U2+U3 and sketch its graph. b) Find the p.d.f. of S4=U1+U2+U3+U4 and sketch its graph c) Neither S3 or S4 are distributions with a name, but if you sketch their p.d.f.s, they should resemble a previous distribution. Which one?
info here is given to help solve #3 below this photo: You may use any computer...
info here is given to help solve #3 below this photo:
You may use any computer software of your choice to complete this assignment Random variables from the four probability distributions given may be generated as follows 1. A standard uniform random variable, U in the interval (0,1), i.e., U ~ U (0,1), may be generated using the Matlab function 'rand'. The corresponding uniform random variable, X in the interval (-1,1) may be obtained as X 2U 1 2. A...
Let Xn = a sin(bn+Z), where n ∈ Z, a, b ∈ [0, ∞) are constant, and Z has a continuous uniform distribution on [−π, π] (i...
Let Xn = a sin(bn+Z), where n ∈ Z, a, b ∈ [0, ∞) are constant,
and Z has a continuous uniform distribution on [−π, π] (i.e. Z ∼
U([−π, π])). Show that Xn is stationary. (Hint: sin(x) sin(y) = 1 2
(cos(x − y) − cos(x + y)) may be helpful).
l. Let Xn-a sin(bn+ Z), where n є z, a, b є lo,00) are constant, and Z has a continuous uniform distribution on [-π, π] (i.e. Z ~...
Unif (0, 1) 5. Suppose U1 and U2 i= 1,2. Let X; = - log(1 -...
Unif (0, 1) 5. Suppose U1 and U2 i= 1,2. Let X; = - log(1 - U;), i = 1,2. [0, 1], U are independent uniform random variables on (a) Show that X1 and X2 are independent exponential random variables with mean 1, X; ~ Еxp(1), і — 1,2. (b) Find the joint density function of Y1 = X1 + X2 and Y2 = X1/X2 and show that Y1 and Y2 are independent.
Unif (0, 1) 5. Suppose U1 and...
(1 point) -3 10 9 Given v = 9 find the coordinates for u in the...
(1 point) -3 10 9 Given v = 9 find the coordinates for u in the subspace W spanned by 1 0 3 -3 -1 5 4 U1 = = , U2 = , U3 and 14 -7 1 Note that uj, U2, U3 and 14 are orthogonal. 2 U = U1+ U2+ U3+ 14
Hi! Please help me with question #1. Thank you so much! 1) Let F be the...
Hi!
Please help me with question #1.
Thank you so much!
1) Let F be the function from R x (-1,1) to R3 given by F(u,0)= ( (2- sin u, vsin (2+v cos vcos COS u Let (u, ) and (u2, 2) belong to the domain R x (-1, 1) of F. Prove that F(u1, U1) (u1(4k 2),-v1) for some relative integer k. Hint: In terms of the spacial coordinates a, y,z compare the quantities 2 +y2 F(u2, 2) if...
Suppose that X ~ unif(0,1). Find the distribution of Y = (1 – X)-B – 1...
Suppose that X ~ unif(0,1). Find the distribution of Y = (1 – X)-B – 1 for some fixed B> 0. (Name it!)
How does one solve this problem? 4. (a) Consider the vector space consisting of vectors where...
How does one solve this problem?
4. (a) Consider the vector space consisting of vectors where the components are complex numbers. If u = (u1, u2, u3) and v = (V1,V2, us) are two vectors in C3, show that where vi denotes the complex conjugate of vi, defines a Hermitian (compler) inner product on C3, i.e. 1· 2· 3, 4, (u, v) = (v, u), (u+ v, w)=(u, w)+(v, w), (cu, v) = c(u, v), where c E C is...
(1 point) Solve the wave equation with fixed endpoints and the given initial displacement and velocity. a2 ,0<x<L, t > 0 a(0. t) = 0, u(L, t) = 0, t > 0 Ou Ot ηπα t) + B,, sin (m Now we c...
(1 point) Solve the wave equation with fixed endpoints and the given initial displacement and velocity. a2 ,0<x<L, t > 0 a(0. t) = 0, u(L, t) = 0, t > 0 Ou Ot ηπα t) + B,, sin (m Now we can solve the PDE using the series solution u(r,t)-> An C computed many times: An example: t) ) sin (-1 ). The coefficients .An and i, are Fourier coefficients we have , cos n-1 sin(n pix/ L) dr...
info here is given to help solve #3 below this photo:
You may use any computer software of your choice to complete this assignment Random variables from the four probability distributions given may be generated as follows 1. A standard uniform random variable, U in the interval (0,1), i.e., U ~ U (0,1), may be generated using the Matlab function 'rand'. The corresponding uniform random variable, X in the interval (-1,1) may be obtained as X 2U 1 2. A...
Let Xn = a sin(bn+Z), where n ∈ Z, a, b ∈ [0, ∞) are constant,
and Z has a continuous uniform distribution on [−π, π] (i.e. Z ∼
U([−π, π])). Show that Xn is stationary. (Hint: sin(x) sin(y) = 1 2
(cos(x − y) − cos(x + y)) may be helpful).
l. Let Xn-a sin(bn+ Z), where n є z, a, b є lo,00) are constant, and Z has a continuous uniform distribution on [-π, π] (i.e. Z ~...
Unif (0, 1) 5. Suppose U1 and U2 i= 1,2. Let X; = - log(1 - U;), i = 1,2. [0, 1], U are independent uniform random variables on (a) Show that X1 and X2 are independent exponential random variables with mean 1, X; ~ Еxp(1), і — 1,2. (b) Find the joint density function of Y1 = X1 + X2 and Y2 = X1/X2 and show that Y1 and Y2 are independent.
Unif (0, 1) 5. Suppose U1 and...
(1 point) -3 10 9 Given v = 9 find the coordinates for u in the subspace W spanned by 1 0 3 -3 -1 5 4 U1 = = , U2 = , U3 and 14 -7 1 Note that uj, U2, U3 and 14 are orthogonal. 2 U = U1+ U2+ U3+ 14
Hi!
Please help me with question #1.
Thank you so much!
1) Let F be the function from R x (-1,1) to R3 given by F(u,0)= ( (2- sin u, vsin (2+v cos vcos COS u Let (u, ) and (u2, 2) belong to the domain R x (-1, 1) of F. Prove that F(u1, U1) (u1(4k 2),-v1) for some relative integer k. Hint: In terms of the spacial coordinates a, y,z compare the quantities 2 +y2 F(u2, 2) if...
Suppose that X ~ unif(0,1). Find the distribution of Y = (1 – X)-B – 1 for some fixed B> 0. (Name it!)
How does one solve this problem?
4. (a) Consider the vector space consisting of vectors where the components are complex numbers. If u = (u1, u2, u3) and v = (V1,V2, us) are two vectors in C3, show that where vi denotes the complex conjugate of vi, defines a Hermitian (compler) inner product on C3, i.e. 1· 2· 3, 4, (u, v) = (v, u), (u+ v, w)=(u, w)+(v, w), (cu, v) = c(u, v), where c E C is...
(1 point) Solve the wave equation with fixed endpoints and the given initial displacement and velocity. a2 ,0<x<L, t > 0 a(0. t) = 0, u(L, t) = 0, t > 0 Ou Ot ηπα t) + B,, sin (m Now we can solve the PDE using the series solution u(r,t)-> An C computed many times: An example: t) ) sin (-1 ). The coefficients .An and i, are Fourier coefficients we have , cos n-1 sin(n pix/ L) dr...
Most questions answered within 3 hours.
-
1a) According to the ideal gas law, _______________.
a. a gas has infinite volume at absolute...
asked 19 minutes ago -
Oakdale Fashions, Inc. had $245,000 in 2018 taxable income.
Using the tax schedule in Table 2.3...
asked 42 minutes ago -
The marketing class at CSUS had an average score of 150. An
educational analyst determined that...
asked 2 hours ago -
Justin Case has purchased a $250 000 home by putting 20 % down
and taking out...
asked 2 hours ago -
1. In a labor market, marginal cost for a firm is
____________.
a. recruiting cost
b....
asked 2 hours ago -
On January 1, 2019, ABC Company issued $60,000,000 of 20-year,
10.5% bonds when the market rate...
asked 3 hours ago -
39.4% of US homes continue to use a landline in addition to cell
phone service. 3...
asked 3 hours ago -
Starting with benzene, synthesize 1-phenyl-1-butyne.
Show intermediates and reagents.
asked 4 hours ago -
Create a 32-run crossed array design with six control factors
and two noise factors such that...
asked 5 hours ago -
A 500g sample of sand from source A has the following amounts
retained on each sieve....
asked 5 hours ago -
In
your own words, please explain the essay by John Keynes wrote "The
End of Laissez...
asked 5 hours ago -
How are the matrix and pixels related? Why are smaller
pixels better for diagnostic quality?
asked 5 hours ago