Let X1, X2,.,X10 be a sample of size 10 from an exponential distribution with the density function Sae -Xx f(x; A) othe...

Question

Question

Let X1, X2,.,X10 be a sample of size 10 from an exponential distribution with the density function Sae -Xx f(x; A) otherwise

math Statistics-And-Probability

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

We know, if X 2AX and since X1, X2, , X10 exponential distribution with parameter A then are iid random variables then 10 X 2

Add a comment

Answer 2

Similar Homework Help Questions

2-3. Let ?>0 and ?? R. Let X1,X2, distribution with probability density function , Xn be...

2-3. Let ?>0 and ?? R. Let X1,X2, distribution with probability density function , Xn be a random sample from the zero otherwise suppose ? is known. ( Homework #8 ): W-X-5 has an Exponential ( 2. Recall --)-Gamma ( -1,0--) distribution. a) Find a sufficient statistic Y-u(X1, X2, , Xn) for ? b) Suggest a confidence interval for ? with (1-?) 100% confidence level. "Flint": Use ?(X,-8) ? w, c) Suppose n-4, ?-2, and X1-215, X2-2.55, X3-210, X4-2.20. i-1...
Let X1, X2 ,, X8 be a random sample of size 8 from a POI(λ) distribution....

Let X1, X2 ,, X8 be a random sample of size 8 from a POI(λ) distribution. The null hypothesis that λ = 0.25 will be rejected in favor of the alternative hypothesis that λ>0.25 if ∑X ≥5. i a. Find the probability of committing a type I error. (Hint: If Xi ~ POI(λ), then ∑Xi ~ POI(nλ)). b. Find the probability of committing a type II error if λ = 0.5 . c. Find the power of the test if...
4 10 pts. Let X1 X2 be a random sample from the exponential distribution with parameter θ What is the mgf of Y = X1 + X2? a) (4 pts.+) Find E(Y-E(X1 + X2] using the mgf. For 2 more points on test 2:...

4 10 pts. Let X1 X2 be a random sample from the exponential distribution with parameter θ What is the mgf of Y = X1 + X2? a) (4 pts.+) Find E(Y-E(X1 + X2] using the mgf. For 2 more points on test 2: How is Y distributed? 4 10 pts. Let X1 X2 be a random sample from the exponential distribution with parameter θ What is the mgf of Y = X1 + X2? a) (4 pts.+) Find E(Y-E(X1...

Let > 0 and let X1, X2, ..., Xn be a random sample from the distribution with the probability density function f(x;...

Let > 0 and let X1, X2, ..., Xn be a random sample from the distribution with the probability density function f(x; 1) = 212x3 e-tz, x > 0. a. Find E(XK), where k > -4. Enter a formula below. Use * for multiplication, / for divison, ^ for power, lam for 1, Gamma for the function, and pi for the mathematical constant i. For example, lam^k*Gamma(k/2)/pi means ik r(k/2)/n. Hint 1: Consider u = 1x2 or u = x2....
Let > 0 and let X1, X2, ..., Xn be a random sample from the distribution with the probability density function f(x;...

Let > 0 and let X1, X2, ..., Xn be a random sample from the distribution with the probability density function f(x; 1) = 212x3e-dız?, x > 0. a. Find E(X), where k > -4. Enter a formula below. Use * for multiplication, / for divison, ^ for power, lam for \, Gamma for the function, and pi for the mathematical constant 11. For example, lam^k*Gamma(k/2)/pi means ik r(k/2)/ I. Hint 1: Consider u = 1x2 or u = x2....
Let X1,X2 be two independent exponential random variables with λ=1, compute the P(X1+X2<t) using the joint...

Let X1,X2 be two independent exponential random variables with λ=1, compute the P(X1+X2<t) using the joint density function. And let Z be gamma random variable with parameters (2,1). Compute the probability that P(Z < t). And what you can find by comparing P(X1+X2<t) and P(Z < t)? And compare P(X1+X2+X3<t) Xi iid (independent and identically distributed) ~Exp(1) and P(Z < t) Z~Gamma(3,1) (You don’t have to compute) (Hint: You can use the fact that Γ(2)=1, Γ(3)=2) Problem 2[10 points] Let...

Let X1, X2,...,Xn be a random sample from the exponential distribution with rate A Let c > 0 be a fixed and known nu...

Let X1, X2,...,Xn be a random sample from the exponential distribution with rate A Let c > 0 be a fixed and known number. For i 1,2 п, let ..1 -{: : if Xic 1 Y otherwise Suppose that you get to observe Yı, Y2,... , Y,n but you do not get to observe X1, X2,... , X,n п. Find the MLE for X based on this information
Let X1, X2, ... , Xn be a random sample of size n from the exponential...

Let X1, X2, ... , Xn be a random sample of size n from the exponential distribution whose pdf is f(x; θ) = (1/θ)e^(−x/θ) , 0 < x < ∞, 0 <θ< ∞. Find the MVUE for θ. Let X1, X2, ... , Xn be a random sample of size n from the exponential distribution whose pdf is f(x; θ) = θe^(−θx) , 0 < x < ∞, 0 <θ< ∞. Find the MVUE for θ.
I. Let X be a random sample from an exponential distribution with unknown rate parameter θ...

I. Let X be a random sample from an exponential distribution with unknown rate parameter θ and p.d.f (a) Find the probability of X> 2. (b) Find the moment generating function of X, its mean and variance. (c) Show that if X1 and X2 are two independent random variables with exponential distribution with rate parameter θ, then Y = X1 + 2 is a random variable with a gamma distribution and determine its parameters (you can use the moment generating...

8.60-Modified: Let X1,...,Xn be i.i.d. from an exponential distribution with the density function...

8.60-Modified: Let X1,...,Xn be i.i.d. from an exponential distribution with the density function a. Check the assumptions, and find the Fisher information I(T) b. Find CRLB c. Find sufficient statistic for τ. d. Show that t = X1 is unbiased, and use Rao-Blackwellization to construct MVUE for τ. e. Find the MLE of r. f. What is the exact sampling distribution of the MLE? g. Use the central limit theorem to find a normal approximation to the sampling distribution h....

Let X1, X2,.,X10 be a sample of size 10 from an exponential distribution with the density function Sae -Xx f(x; A) othe...

Homework Answers

Add Answer to:
Let X1, X2,.,X10 be a sample of size 10 from an exponential distribution with the density function Sae -Xx f(x; A) othe...

Post as a guest

Earn Coins

2-3. Let ?>0 and ?? R. Let X1,X2, distribution with probability density function , Xn be...

Let X1, X2 ,, X8 be a random sample of size 8 from a POI(λ) distribution....

4 10 pts. Let X1 X2 be a random sample from the exponential distribution with parameter θ What is the mgf of Y = X1 + X2? a) (4 pts.+) Find E(Y-E(X1 + X2] using the mgf. For 2 more points on test 2:...

Let > 0 and let X1, X2, ..., Xn be a random sample from the distribution with the probability density function f(x;...

Let > 0 and let X1, X2, ..., Xn be a random sample from the distribution with the probability density function f(x;...

Let X1,X2 be two independent exponential random variables with λ=1, compute the P(X1+X2<t) using the joint...

Let X1, X2,...,Xn be a random sample from the exponential distribution with rate A Let c > 0 be a fixed and known nu...

Let X1, X2, ... , Xn be a random sample of size n from the exponential...

I. Let X be a random sample from an exponential distribution with unknown rate parameter θ...

8.60-Modified: Let X1,...,Xn be i.i.d. from an exponential distribution with the density function...

Let X1, X2,.,X10 be a sample of size 10 from an exponential distribution with the density function Sae -Xx f(x; A) othe...

Homework Answers

Add Answer to: Let X1, X2,.,X10 be a sample of size 10 from an exponential distribution with the density function Sae -Xx f(x; A) othe...

Post as a guest

Earn Coins

Add Answer to:
Let X1, X2,.,X10 be a sample of size 10 from an exponential distribution with the density function Sae -Xx f(x; A) othe...