An exponential random variable has a variance of 81. Calculate its 38th percentile.

Question

Question

An exponential random variable has a variance of 81.

Calculate its 38th percentile.

Answer 1

Answer #1

Let xnexp(x) put of x is e- K) je so lo otherwise - Cirer Varcx) = 81 +²= Now, we have to find 38th P8 be the 38th percentile

Answer 2

Similar Homework Help Questions

Suppose that a random variable X follows a distribution with mean 100 and variance 81. We...

Suppose that a random variable X follows a distribution with mean 100 and variance 81. We take a random sample of 240 observations and calculate x. What is the probability that we calculate a sample mean larger than 101?
X is exponential random variable with λ = 3. A) Calculate E(X"2) of this random variable....

X is exponential random variable with λ = 3. A) Calculate E(X"2) of this random variable. B) Calculate V(X 2)
calculate the moment generating function for a random variable which has exponential distribution with parameter gamma.

calculate the moment generating function for a random variable which has exponential distribution with parameter gamma.

Exercise 5.15. Calculate the moment generating function for a random variable which has exponential distribution with...

Exercise 5.15. Calculate the moment generating function for a random variable which has exponential distribution with parameter ..
Compute the quantile function of the exponential distribution with parameter A. Find its median (the 50th percentile)...

Compute the quantile function of the exponential distribution with parameter A. Find its median (the 50th percentile) Compute the quantile function of the exponential distribution with parameter A. Find its median (the 50th percentile)
Problem 5. Let X be a continuous random variable with a 2-paameter exponential distribution with ...

Problem 5. Let X be a continuous random variable with a 2-paameter exponential distribution with parameters α = 0.4 and xo = 0.45, ie, ;x 2 0.45 x 〈 0.45 f(x) = (2.5e-2.5 (-0.45) Variable Y is a function of X: a) Find the first order approximation for the expected value and variance of Y b) Find the probability density function (PDF) of Y. c) Find the expected value and variance of Y from its PDF Problem 5. Let X...

Let X be a random variable from a distribution with density . Calculate the variance of random...

Let X be a random variable from a distribution with density . Calculate the variance of random variable We were unable to transcribe this image3.22 +1
Let X be an exponential random variable with parameter 1 = 2, and let Y be...

Let X be an exponential random variable with parameter 1 = 2, and let Y be the random variable defined by Y = 8ex. Compute the distribution function, probability density function, expectation, and variance of Y
A random variable X has range {0,1,2}; its expectation is 2/3 and its variance is 5/9....

A random variable X has range {0,1,2}; its expectation is 2/3 and its variance is 5/9. Determine the probability generating function of X and sketch its graph on the interval [0, 1].

Let X be a loss random variable with cdf 0, x<0. The 10th percentile is θ-k....

Let X be a loss random variable with cdf 0, x<0. The 10th percentile is θ-k. The 90th percentile is 5θ-3k. Determine the value of α. Problem 30.11 Let X be a random variable with density function f(x)-(Wr for x 〉 0 and 0 otherwise. Calculate the mode of X.