Mathematics, 08.04.2020 02:47 SKYBLUE1015
Let X and Y be independent Bernoulli random variables with parameter 1/2, and let Z be the random variable that returns the remainder of the division of X + Y by 2.
(a) Prove that Z is also a Bernoulli random variable, also with parameter 1/2.
(b) Prove that X; Y;Z are pairwise independent but not mutually independent.
(c) By computing Var[X+Y +Z] according to the alternative formula for variance and using the variance of Bernoulli r. v.'s, verify that Var[X +Y +Z] =Var[X]+Var[Y ]+Var[Z]
** Kindly use the properties of Bernoulli random variables for solving questions. Thanks!
Answers: 3
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Joseph haydn pet store offers wide variety of leashes for dogs. the store purchases one popular type of leash from its manufacturer for $4.38 each. joseph haydn pets marks up leashes at a rate of 238% of cost. what is the retail price of the popular leash?
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Anew landowner is interested in constructing a fence around the perimeter of her property. her property is 1,080√30 feet wide and 500√20 feet long. what is the perimeter of the property? (recall that the perimeter is the sum of each side of a shape or boundary). a 1,580√40 feet b. 5,320√5 feet c. 3,160√20 feet d. 10,640√5 feet
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