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Let xn be a sequence of real numbers. Prove that there exists a subsequence xnk such that either xnk+1 xnk for all k or xnk+1 xnk for all k.

Let xn be a bounded sequence of real numbers. Show that xn has a convergent subsequence.

Let xn be a bounded sequence of real numbers. Show that, if all the convergent subsequence converges to the same limit x*, then xn is convergent and converges to x*.

If a fan purchased a bag with 30 peanuts, what is the lowest level at which this would be a significant event?

A righttailed test is conducted at the 5% significance level. Which of the following zscores is the smallest one in absolute value that leads to rejection of the null hypothesis ?

identify the solution(s) of the system of equations if any 3x4y=2, 8y=6x4

Suppose that Y1, Y2, Y3, and Y4 have a multinomial distribution with n trials and probabilities p1, p2, p3, and p4 for the four cells. Just as in the binomial case, any linear combination of Y1, Y2, Y

Identify the solution(s) of the system of equations, if any 2x4y=1, 12y= 6x3

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1. I’m having problems with my math. Can you help me? All I need is an example just to make sure I'm on track.
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