6. If E(x) 16 and E(X?) -292, use Chebyshev's inequality to determine a) A lower bound...

Question

Question

Answer 1

Answer #1

64- 16 lat fuen Ord PCtx-K1215)一ー:@ oro

Answer 2

Similar Homework Help Questions

Apply Chebyshevs Inequality to lower bound P(O< X < 4) when E(X) 2 and E(X2)-5

Apply Chebyshevs Inequality to lower bound P(O< X < 4) when E(X) 2 and E(X2)-5
Exercise 2 Consider a random variable X with E]5 and VarX 16 (a) Calculate P(lz-5 <...

Exercise 2 Consider a random variable X with E]5 and VarX 16 (a) Calculate P(lz-5 < 6) if X follows a normal distribution. (b) Use Chebyshev's inequality to provide a lower bound for P(-5). (No longer assume X is normal.)
Let X ~ Geomeric(p). Using Chebyshev's inequality find an upper bound for P(|X – E[X]] >b).

Let X ~ Geomeric(p). Using Chebyshev's inequality find an upper bound for P(|X – E[X]] >b).

2. Suppose that is an exponential random variable with pdf f(y)= e), y>0. a. Use Chebyshev's Inequality to get an up...

2. Suppose that is an exponential random variable with pdf f(y)= e), y>0. a. Use Chebyshev's Inequality to get an upper bound for the probability that takes on a value more than two standard deviations away from the mean. b. Use the given pdf to compute the exact probability that takes on a value more than two standard deviations away from the mean.
Modify X and apply Markov's inequality to upper bound P(X > 3) when X > 2...

Modify X and apply Markov's inequality to upper bound P(X > 3) when X > 2 and E[X] = 2.5.
Use Chebyshev's Inequality to get a lower bound for the number of times a fair coin...

Use Chebyshev's Inequality to get a lower bound for the number of times a fair coin must be tossed in order for the probability to be at least 0.90 that the ratio of the observed number of heads to the total number of tosses be between 0.4 and 0.6. Let X be a random variable with μ=10 and σ=4. A sample of size 100 is taken from this population. Find the probability that the sum of these 100 observations is less...

5. Let X > 0 be a random variable with EX = 10 and EX2 =...

5. Let X > 0 be a random variable with EX = 10 and EX2 = 140. a. Find an upper bound on P(X > 14) involving EX using Markov's inequality. b. Modify the proof of Markov's inequality to find an upper bound on P(X > 14) in- volving EX? c. Compare the results in (a) and (b) above to what you find from Chebyshev's inequality.
5) Let X be a random variable with mean E(X) = μ < oo and variance...

5) Let X be a random variable with mean E(X) = μ < oo and variance Var(X) = σ2メ0. For any c> 0, This is a famous result known as Chebyshev's inequality. Suppose that Y,%, x, ar: i.id, iandool wousblsxs writia expliiniacy" iacai 's(%) fh o() airl íinic vaikuitx: Var(X) = σ2メ0. With Υ = n Ση1 Y. show that for any c > 0 Tsisis the celebraed Weak Law of Large Numben
Define X1 = Z1, X2 = 22, ..., Xn = Zn and X = 36 L3fXi....

Define X1 = Z1, X2 = 22, ..., Xn = Zn and X = 36 L3fXi. Consider the following probability A=P('x=11<3). (d) Please provide the distribution of X and find the exact probability A (accurate to the third decimal place). (e) Please provide a lower bound for A by the Chebyshev's inequality.

Problem 3 (3 points) Use proof by induction to prove the Bonferroni's inequality (for any positive...

Problem 3 (3 points) Use proof by induction to prove the Bonferroni's inequality (for any positive integer n): Si<jSni.jez