Suppose, under Pn, Xn = Yn + 0P (1), that is, Xn - Yn →0 in Pn-probability. Suppose Qn is contiguous to Pn. Show that X = Yn+oQn (1).

Q: 12 5(.8)0

A: We can solve given problem by using G.P series.

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A:

Q: 5(18)

A: To find5(18)

Q: 2) 36³x=¹

A:

Q: 1+3+5+7...+1003

A: Sum of n odd numbers, where the last term of the series is (2n – 1), is, Sn = 1 + 3 + 5 + …. + (2n –…

Q: 5/14+1/6

A: 514+16=15+742

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A:

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Q: 4. Fill in the following contingency table with the number of observations that fall into each com-…

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A: Given query is to expand (n+4)3

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A:

Q: 18(9+7)+3

A: 18(9+7)+3

Q: 3(m – 5) + m

A: 3(m-5)+m=0 3m-15+m=0 add both side 15 we get 2m=15

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A: Step 1:To find  limx→−2−​f(x)The expression refers to the left-hand limit of f(x) at -2. Meaning we…

Q: 8(14-9)+5 32+6

A: The given expression is