Question

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.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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.
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)
Suppose X is a random variable with p(X = 0) = 4/5, p(X = 1) =...
Suppose X is a random variable with p(X = 0) = 4/5, p(X = 1) = 1/10, p(X = 9) = 1/10. Then (a) Compute Var [X] and E [X]. (b) What is the upper bound on the probability that X is at least 20 obained by applying Markov’s inequality? (c) What is the upper bound on the probability that X is at least 20 obained by applying Chebychev’s inequality?
Let X be a continuous random variable with probability density function (pdf) ?(?) = ??^3, 0...
Let X be a continuous random variable with probability density function (pdf) ?(?) = ??^3, 0 < ? < 2. (a) Find the constant c. (b) Find the cumulative distribution function (CDF) of X. (c) Find P(X < 0.5), and P(X > 1.0). (d) Find E(X), Var(X) and E(X5 ).
Suppose the random variable X follows the Poisson P(m) PDF, and that you have a random...
Suppose the random variable X follows the Poisson P(m) PDF, and that you have a random sample X1, X2,...,Xn from it. (a)What is the Cramer-Rao Lower Bound on the variance of any unbiased estimator of the parameter m? (b) What is the maximum likelihood estimator ofm?(c) Does the variance of the MLE achieve the CRLB for all n?
2. Let X be a continuous random variable with pdf given by f(x) = k 6x...
2. Let X be a continuous random variable with pdf given by f(x) = k 6x − x 2 − 8 2 ≤ x ≤ 4; 0 otherwise. (a) Find k. (b) Find P(2.4 < X < 3.1). (c) Determine the cumulative distribution function. (d) Find the expected value of X. (e) Find the variance of X
Let X be a continuous random variable with the following probability density function: f(x) = e^−(x−1)...
Let X be a continuous random variable with the following probability density function: f(x) = e^−(x−1) for x ≥ 1; 0 elsewhere (i) Find P(0.5 < X < 2). (ii) Find the value such that random variable X exceeds it 50% of the time. This value is called the median of the random variable X.
Calculate the probability that X ≤ E[X] assuming that: (a) X is a continuous random variable...
Calculate the probability that X ≤ E[X] assuming that: (a) X is a continuous random variable with uniform distribution; (b) X is a continuous random variable with an Exp(1) distribution; (c) X is a discrete random variable with a Poisson(1) distribution. (d) X is continuous random variable with standard normal distribution.
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).
The probability distribution of a random variable X is given below. x 2 4 8 9...
The probability distribution of a random variable X is given below. x 2 4 8 9 10 P(X = x) 1⁄26 5⁄26 4⁄13 9⁄26 3⁄26 Given the mean Find the variance (Var(X)) and the standard deviation, respectively.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT