4 persons each have playing cards, with person 1 having X1 cards, person 2 having X2...
4 persons each have playing cards, with person 1 having X1 cards, person 2 having X2 cards, person three having X3 cards and person 4 having X4 cards. The random variables of X1, X2, X3 and X4 are all independent and normally distributed with mean = 100 and SD = 24.
1) If Y = X1+X2+X3+X4 (all the cards of alle the persons), what is then E(Y)? What is Var(Y)?
2) Denoting A as the average no. of cards per person, A = (X1+X2+X3+X4)/4 = Y/4, what is E(A)? What is Var(A)?
3) Assuming A follows a normal distribution, what is the mean and SD of that respective normal distribution?
4) What is P(A > 123,52 or A < 76,48)?
5) What is P( |(A-100)/12| < 1,96)?
Homework Answers
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4 persons each have playing cards, with person 1 having X1
cards, person 2 having X2...
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DATA 2 ID X1 X2 X3 Y A 0 2 4 9 B 1 0 8...
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