Question

7. Suppose that X; ~ N(,0), i = 1,..., n and Zi ~ N(0,1), i = 1,..., k, and all variables are independent. State the distribu

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Son theo we wil use ?f X AN,2) N (H, ) Frshes T is dehind as: T E X2 where is a standard nornd Varite dPdpede T a chi-squr VCn) A (sag) (a) want we Z,NNIO,) Z2N (o,) z~ Yu) Then Z1 Z. A = , Eu .A 2 I fs not mnhoned wht z represeats. (b) Incomplete qN(o,1) So A = 21 the form X2 nA (x-) o. A= 2

Add a comment
Know the answer?
Add Answer to:
7. Suppose that X; ~ N(,0), i = 1,..., n and Zi ~ N(0,1), i =...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Suppose that Xi ~ N(, ?2), i-l, are independent. State the distribution of each of the...

    Suppose that Xi ~ N(, ?2), i-l, are independent. State the distribution of each of the following variables if it is a "named" distribution or otherwise state "unknown." 15. , n and Z1 ~ NO, l), i 1, , k, and all variables

  • Only need parts c, e, j, m, and p only need parts c, e, j, m,...

    Only need parts c, e, j, m, and p only need parts c, e, j, m, and p 15. Suppose that X i ~ N(, σ*), i = 1, . . . , n and Zi ~ N(0, 1), i-1, , k, and all variables independent. State the distribution of each of the following variables if it is a "named" distribution or otherwise state "unknown." (a) X1-X2 (i) (b) X2 + 2X3 () Z2 We were unable to transcribe this...

  • help me find point a-p are independent. distribution or otherwise state "unknown." that X, ~, ΝΟμ,...

    help me find point a-p are independent. distribution or otherwise state "unknown." that X, ~, ΝΟμ, σ 2), l a. 1, '.. , n and Z, ,~ NO. 1), i l' k and all variables State the distribution of each of the following variables if'it is a "named" (b) X, + 2X) nk(X-μ) (d) zi nx - 1) (e)S (k-1) Σ(Xi-X) Y NU6 251 and

  • 8. Let X.(i-12) be independent N(0,1) random variables. a. Find the value of c such that...

    8. Let X.(i-12) be independent N(0,1) random variables. a. Find the value of c such that P ( (X1 + X2尸/( X2-X)2 < c ) =.90 b. Find P(2 X1 -3 X21.5) c. Find 95th percentile of the distribution of Y-2X -3X2

  • 8. Let X (i-1,2) be independent N(0,1) random variables. a. Find the value of c such...

    8. Let X (i-1,2) be independent N(0,1) random variables. a. Find the value of c such that P ( (X1 + X2 )2/( X2 -X1)2 < c ) =.90 b. Find P(2 X1 -3 X2< 1.5) c. Find 95th percentile of the distribution of Y-2 X1 -3 X2

  • Let Zi, Z.Zg be a random sample of size 3 from the N(μ = 0, σ2-1)...

    Let Zi, Z.Zg be a random sample of size 3 from the N(μ = 0, σ2-1) distribution. Let Xi, X2 be a random sample of size 2 from the N( 1-0,02-2) distribution. Let Y.Y2, Y be a random sample of size 3 from the N(11-1,ơ2-3) distribution. The Xi, Y, and Zi are all mutually independent. Give the distribution (including parameters) of each of the following: 2

  • 1) Suppose that X ∼ N(0,1) find: P(X<=1.36) Round your answer to the nearest thousandth. 2)...

    1) Suppose that X ∼ N(0,1) find: P(X<=1.36) Round your answer to the nearest thousandth. 2) Suppose that X ∼ N(0,1) find: P(|X-0.9|>=1.35) Round your answer to the nearest thousandth. 3)Suppose that X ∼ B(8, 0.25). Calculate p(X=1) Round your answer to the nearest thousandth. 4) Suppose that X ∼ B(10, 0.23). Calculate P(X ≥ 7) Round your answer to the nearest thousandth. 5)Suppose that X ∼ U(-5, 10). Find the P(-2 ≤ X ≤ 5) Round your answer to...

  • 3) Suppose X,,X,,X, (n > 1) is a random sample from Bernoulli distribution with Circle out...

    3) Suppose X,,X,,X, (n > 1) is a random sample from Bernoulli distribution with Circle out your Class: Mon&Wed or Mon.Evening p.mf. p(x)=p"(I-p)'-x , x = 0,1, , thenyi follows ( ). Binomial distribution B(a.p) eNormal distribution N(p,mp(- O Poisson distribution P(np) Dcan not be determined. 4) Suppose X-N(0,1) and Y~N(24), they are independent, then )is incorrect. X+Y N(2, 5) C X-Y-NC-2,5) BP(Y <2)>0.5 D Var(X) < Var(Y) x,X,, ,X, (n>1) is a random sample from N(μσ2), let-1ΣΧί 5) Suppose...

  • 9. Consider the following hidden Markov model (HMM) (This is the same HMM as in the previous HMM problem): ·X=(x, ,...

    9. Consider the following hidden Markov model (HMM) (This is the same HMM as in the previous HMM problem): ·X=(x, ,x,Je {0,1)、[i.e., X is a binary sequence of length n] and Y-(Y Rt [i.e. Y is a sequence of n real numbers.) ·X1~" Bernoulli(1/2) ,%) E Ip is the switching probability; when p is small the Markov chain likes to stay in the same state] . conditioned on X, the random variables Yı , . . . , y, are...

  • 6. Suppose that Xi,X2, X, is a random sample from the uniform distribution on (0,1). Let X(i), i ...

    6. Suppose that Xi,X2, X, is a random sample from the uniform distribution on (0,1). Let X(i), i = 1, , n denote the order statistics. (a) Obtain the joint distribution of R- X)-X) and SXXn/2 b) Obtain the marginal pdf of S. 6. Suppose that Xi,X2, X, is a random sample from the uniform distribution on (0,1). Let X(i), i = 1, , n denote the order statistics. (a) Obtain the joint distribution of R- X)-X) and SXXn/2 b)...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT