Question

Given an exponential random variable X with parameter θ and θ is uniformly distributed on the...

Given an exponential random variable X with parameter θ and θ is uniformly distributed on the interval (2,4). Solve for the expected value and variance of X.

Homework Answers

Answer #1

I have followed up entire method to find the compound distribution of exponential and uniform distribution.. But I failed to reach at your question.. You try yourself by taking my help. If you are not satisfied evict it. Please don't give dislike.

Know the answer?
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
Similar Questions
. Properties of the uniform, normal, and exponential distributions Suppose that x₁ is a uniformly distributed...
. Properties of the uniform, normal, and exponential distributions Suppose that x₁ is a uniformly distributed random variable, x₂ is a normally distributed random variable, and x₃ is an exponentially distributed random variable. For each of the following statements, indicate whether it applies to x₁, x₂, and/or x₃. Check all that apply. x₁ x₂ x₃ (uniform) (normal) (exponential) The probability that x equals its expected value is 0. The probability distribution of x has two parameters. The mean and standard...
The random variable X is uniformly distributed in the interval [0, α] for some α >...
The random variable X is uniformly distributed in the interval [0, α] for some α > 0. Parameter α is fixed but unknown. In order to estimate α, a random sample X1, X2, . . . , Xn of independent and identically distributed random variables with the same distribution as X is collected, and the maximum value Y = max{X1, X2, ..., Xn} is considered as an estimator of α. (a) Derive the cumulative distribution function of Y . (b)...
The random variable X is distributed with pdf fX(x, θ) = c*x*exp(-(x/θ)2), where x>0 and θ>0....
The random variable X is distributed with pdf fX(x, θ) = c*x*exp(-(x/θ)2), where x>0 and θ>0. (Please note the equation includes the term -(x/θ)2 ) a) What is the constant c? b) We consider parameter θ is a number. What is MLE and MOM of θ? Assume you have an i.i.d. sample. Is MOM unbiased? c) Please calculate the Cramer-Rao Lower Bound (CRLB). Compare the variance of MOM with Crameer-Rao Lower Bound (CRLB).
You are given: X is a continuous random variable that is uniformly distributed over (0, 5)....
You are given: X is a continuous random variable that is uniformly distributed over (0, 5). Y is a discrete random variable that is uniformly distributed over the integers 0, 1, 2, 3, and 4. Calculate P(X<=Y).
Included all steps. Thanks The random variable X is uniformly distributed in the interval [0, α]...
Included all steps. Thanks The random variable X is uniformly distributed in the interval [0, α] for some α > 0. Parameter α is fixed but unknown. In order to estimate α, a random sample X1, X2, . . . , Xn of independent and identically distributed random variables with the same distribution as X is collected, and the maximum value Y = max{X1, X2, ..., Xn} is considered as an estimator of α. (a) Derive the cumulative distribution function...
Suppose that X is a random variable uniformly distributed over the interval (0, 2), and Y...
Suppose that X is a random variable uniformly distributed over the interval (0, 2), and Y is a random variable uniformly distributed over the interval (0, 3). Find the probability density function for X + Y .
The working life (in years) of a certain type of machines is an exponential random variable...
The working life (in years) of a certain type of machines is an exponential random variable with parameter λ, which depends on the quality of its chip. Suppose that the quality of chips are random in a sense that λ is uniformly distributed between [0.5, 1]. 1.Find the expected working life of a machine. 2.Find the variance of the working time of a machine.
Suppose that X is uniformly distributed on the interval [0,5], Y is uniformly distributed on the...
Suppose that X is uniformly distributed on the interval [0,5], Y is uniformly distributed on the interval [0,5], and Z is uniformly distributed on the interval [0,5] and that they are independent. a)find the expected value of the max(X,Y,Z) b)what is the expected value of the max of n independent random variables that are uniformly distributed on [0,5]? c)find pr[min(X,Y,Z)<3]
Let X ∼ Geo(?) with Θ = [0,1]. a) Show that pdf of the random variable...
Let X ∼ Geo(?) with Θ = [0,1]. a) Show that pdf of the random variable X is in the one-parameter regular exponential family of distributions. b) If X1, ... , Xn is a sample of iid Geo(?) random variables with Θ = (0, 1), determine a complete minimal sufficient statistic for ?.
Let we have a sample of 100 numbers from exponential distribution with parameter θ f(x, θ)...
Let we have a sample of 100 numbers from exponential distribution with parameter θ f(x, θ) = θ e- θx      , 0 < x. Find MLE of parameter θ. Is it unbiased estimator? Find unbiased estimator of parameter θ.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT