State and prove the law of large numbers. (Here, if you use
Chebechev’s inequality in your proof, then also include in your
answer a proof of Chebechev’s inequality.)
If there are sufficient numbers of observations per sample, then
the law of large numbers and central limit theorem will come into
effect which state that:
PROOFS:
1. State the prove The Density Theorem for Rational Numbers
2. Prove that irrational numbers are dense in the set of real numbers
3. Prove that rational numbers are countable
4. Prove that real numbers are uncountable
5. Prove that square root of 2 is irrational
Question 1. State the prove The Density Theorem for Rational Numbers.
Question 2. Prove that irrational numbers are dense in the set of real numbers.
Question 3. Prove that rational numbers are countable
Question 4. Prove that real numbers are uncountable
Question 5. Prove that square root of 2 is irrational
Question 1. State the prove The Density Theorem for Rational Numbers.
Question 2. Prove that irrational numbers are dense in the set of real numbers.
Question 3. Prove that rational numbers are countable
Question 4. Prove that real numbers are uncountable
Question 5. Prove that square root of 2 is irrational