Let A, = [0, 2 + ±], for n = 1, 2, 3, 4, 5, . .. Find n U An and ( An ? n=1 n=1

Q: Starting at a fixed time, each car entering an intersection is observed to see whether it turns left…

A: Cars are observed in an intersection starting from a fixed time whether it turns left (L), right (R)…

Q: Let U=​{1,​2, 3,​ ...,2400​}. Let S be the subset of the numbers in U that are multiples of 3​, and…

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Q: If S:= { / N - ¼/m : N,MEN, find wfs and sup 5

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Q: Ex2:] If S:= {1/n - 1/m:n, mEN3, find inf Sand sup S.

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Q: 3.5. Let n E N. Prove that if n + ÷ < 2, then n² + n2 <4.

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Q: Let Find formulas for the entries of M", where is a positive integer. M" O M -2*5**n 10 5 -5*n

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Q: 81. Prove: 2+4 +6+ + 2n = n(n + 1). ...

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Q: 5. Prove the following identity for n 2 1: Fzn+1 = F+1+ F;

A: We need to prove that ,  F2n + 1 = F2n+1 + F2n We know that ,   Fm+n = FmFn+1 + Fm-1Fn ,  m ≥ 1 , n…

Q: Let R = [1, 2] × [1, 2]. Compute ye*"dA. R

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Q: Prove ImA = A = Aln if A is m X n

A: Given: A be m*n matrix

Q: Let X-N(65,36) P(x> 55) = O 0.5232 none O 0.9525 0.98077

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Q: Let X~Bin(6,0.5), then P(x >4|X >3) is O a. 0.759 O b. 0.524 O C. 0.318 O d. 0.344 O e. 0.143

A: Binomial distribution N=6 P=0.5 q=0.5

Q: 0.39, -Compute the pmf of Y.

A: Let's the events be,The corresponding probabilities are,Let Y be the number of days beyond Wednesday…