Question

For a continuous random variable , you are given that the mean is  and the variance is...

For a continuous random variable , you are given that the mean is  and the variance is .
Let  
Given  = 27,  = 130 and  = 592, use Chebyshev's inequality to compute a lower bound for the following probability

Lower bound means that you need to find a value  such that

using Chebyshev's inequality.

Homework Answers

Answer #1

thank you.

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
For a continuous random variable X , you are given that the mean is E(X)= m...
For a continuous random variable X , you are given that the mean is E(X)= m and the variance is var(x)= v. Let m=(R+L)/2 Given L = 6, R = 113 and V = 563, use Chebyshev's inequality to compute a lower bound for the following probability P(L<X<R) Lower bound means that you need to find a value  such thatP(L<X<R)>p using Chebyshev's inequality.
Let X~Poisson(4) random variable and Y an independent Bin(10,1/2) random variable. (a) Use Markov's inequality to...
Let X~Poisson(4) random variable and Y an independent Bin(10,1/2) random variable. (a) Use Markov's inequality to find an upper bound for P(X+Y > 15). (b) Use Chebyshev's inequality to find an upper bound for P(X+Y > 15)
Let ? and ? be independent random variables. Random variable ? has mean ?? and variance...
Let ? and ? be independent random variables. Random variable ? has mean ?? and variance ?^2?, and random variable ? has mean ?? and variance ?^2? a) Prove that ?[?⋅?]=??⋅?? Guidance: Start with ?[?⋅?]=ΣΣ??⋅???(?,?)??, and then use the definition of independent random variables. b) Use a) to prove that ???(??+??)=?^2???(?)+?^2???(?). Guidance: Use the formula proved in the class ???(?)=?[?^2]−?^2[?]. c) Let ? =5?+3?. Find the mean and variance of ? in terms of the means and variances of ?...
X is a Gaussian random variable with variance 9. It is known that the mean of...
X is a Gaussian random variable with variance 9. It is known that the mean of X is positive. It is also known that the probability P[X^2 > a] (using the standard Q-function notation) is given by P[X^2 > a] = Q(5) + Q(3). (a) [13 pts] Find the values of a and the mean of X (b) [12 pts] Find the probability P[X^4 -6X^2 > 27]
Let ?̅be the sample mean of a continuous random variable ? for a sample with n...
Let ?̅be the sample mean of a continuous random variable ? for a sample with n ≥ 30 observations. Explain in your words how to compute the probability that the sample mean, ?̅, falls between two real values, ? and ?, with ? < ?, i.e. Prob(? ≤ ?̅≤ ?) Specify carefully all the assumptions you make and describe all the steps implemented.
Let ?̅ be the sample mean of a continuous random variable ? for a sample with...
Let ?̅ be the sample mean of a continuous random variable ? for a sample with n ≥ 30 observations. Explain in your words how to compute the probability that the sample mean, ?̅, falls between two real values, ? and ?, with ? < ?, i.e. Prob(? ≤ ?̅≤ ?) Specify carefully all the assumptions you make and describe all the steps implemented. Please show All working out
5. A continuous random variable ? has probability distribution function ?(?) , where ?(?) = ?(1...
5. A continuous random variable ? has probability distribution function ?(?) , where ?(?) = ?(1 − ? 2 ) ??? − 1 < ? < 1. (a) Find the value of ?. (b) Compute the expected value of the random variable ?. (c) Find the variance of the random variable ?. (d) Calculate the ?(? < 0)?
Mean, Variance and Standard Deviation of a Continuous Random Variable 37. Consider the density function (?)=3?...
Mean, Variance and Standard Deviation of a Continuous Random Variable 37. Consider the density function (?)=3? 2 on the interval [0,1]. Find the expected value E(X), the variance Var(X) and the standard deviation σ(X) for the density function and round your answers to four decimal places [Clearly state the method you used and how you calculated your result if you used the calculator] 38.Find the median of the random variable with the probability density function given in question 37 round...
Let X be a random variable with a mean of 9 and a variance of 16....
Let X be a random variable with a mean of 9 and a variance of 16. Let Y be a random variable with a mean of 10 and a variance of 25. Suppose the population correlation coefficient between random variables X and Y is -0.4. a) Find the mean of the random variable W = 3X - 5Y. b) Find the standard deviation of the random variable Z = X + Y
Find the mean, variance, and standard deviation of the random variable having the probability distribution given...
Find the mean, variance, and standard deviation of the random variable having the probability distribution given in the following table. (Round your answers to four decimal places.) Random variable, x -7 -6 -5 -4 -3 P(X = x) 0.13 0.16 0.4 0.15 0.16