Examlex

Solved

(Requires Appendix Material)This Question Requires You to Work with Chebychev's

question 34

Essay

(Requires Appendix material)This question requires you to work with Chebychev's Inequality.
(a)State Chebychev's Inequality.
(b)Chebychev's Inequality is sometimes stated in the form "The probability that a random variable is further than k standard deviations from its mean is less than 1/k2." Deduce this form. (Hint: choose ? artfully.)
(c)If X is distributed N(0,1), what is the probability that X is two standard deviations from its mean? Three? What is the Chebychev bound for these values?
(d)It is sometimes said that the Chebychev inequality is not "sharp." What does that mean?


Definitions:

Mammals

Warm-blooded vertebrate animals characterized by the presence of mammary glands, which females use to feed their young, and hair or fur.

Difference

The state or condition of being unlike in nature, form, or quality.

Primate Grooming

A social behavior found in primates where individuals clean or groom each other's fur, serving both social bonding and hygiene purposes.

Mediation

involves a neutral third party assisting disputing parties in reaching a voluntary, negotiated resolution, without imposing a decision.

Related Questions