Suppose the mean noon-time temperature for September days in San Diego is $24^{∘}$ and the standard deviation is $3.2$. (Temperature in this problem is measured in degrees celsius).  Using Chebyshev’s theorem, what is the minimal probability (in percents) that the noon-time temperature of a september days is between $17.6^{∘}$ and $30.4^{∘}$? A.  On September 26, 1963, the all-time record of noon-time temperature in San Diego of $44^{∘}$ was hit. Assume the temperature distribution is symmetric around the mean, what is the Chebyshev bound for the probability of breaking (or tieing) this record? B.
Suppose the mean noon-time temperature for September days in San Diego is 24∘ and the standard deviation is 4.9. (Temperature in this problem is measured in degrees celsius)  On September 26, 1963, the all-time record of noon-time temperature in San Diego of 44∘ was hit. Assume the temperature distribution is symmetric around the mean, what is the Chebyshev bound for the probability of breaking (or tieing) this record?  I am having a hard time understanding this. Could someone explain to me how to do this?
While we know that every finite set is compact, how to prove that every infinite subset of $\mathbf{R}$, the set of all real numbers, is also compact in the finite-complement topology (also called the co-finite topology)?   What is the situation in the case of an arbitrary infinite set $X$ with the finite-complement topology? Correcting projection of 360° content onto a sphere - distortion at the poles I'm using the Autopano Giga 4.4 and Autopano Video Pro 2.6 to stitch and create spherical content, but I've recently moved into wanting to create 360° tours via Unity. I know this is partly a developers question, but if anyone out there can help me with the right specs for exporting a spherical image or video from Giga to use to create the image for the inside of the sphere on Unity, I'd appreciate it!  Experimenting with Premiere and FCPX to edit highlight reels of spherical content, I've had seamless experiences created. For some reason in Unity, the images appear to be stretched around the sphere wrong and it's creates issues on the top and bottom of the image:    The image shown is the bottom of the sphere. I'm using the Android platform to hopefully turn these tours into apps when completed. Thank you for any help! What if I run a virus/trojan Windows EXE on Ubuntu with Wine? Can we balance the whitespace above/below headings? In January, some additional whitespace  below h1, h2 and h3 headings,  more whitespace below the headers than above them.  Could we have the whitespace above the headings be more than the whitespace below them?  I find some posts a bit hard to read, like the current rendering on the left:   &nbsp; &nbsp; &nbsp; Which is correct: "has died" or "died"? It just struck me that Utility Companies world-wide supply domestic users at either 50/60Hz. It could have been selected to be 10 Hz, or 100 Hz ... whatever  Was 50/60 chosen at random? Is there some rationale involved (efficiency, easier to construct/control etc) in restricting domestic supply to either 50/60 Hz?  In other words, if I were designing a power system, why would I pick 50/60 Hz instead of some other frequency? When to use icons vs. icons with text vs. just text links? Idempotent linear operators are projections Can you be refused a visitor visa to US if you have bad Credit there? I did my 3 years of College in the US, 2010-2013 due to finance issues I was unable to pay my credit card bill of a certain bank, which still lie unpaid.  However I plan on visiting the US later this year; could I be denied visa for having an unpaid bill ? Why do we need to discard one dummy variable? Android: textview hyperlink What is the JavaScript >>> operator and how do you use it? Drawing text on an image background that has dark and bright parts Often, I want to write text over a background image. If the background image is bright, I use a dark color for the text, and vice versa. But, often the image has both dark and bright parts. So a dark text is unreadable on the dark parts, and a bright text is unreadable on the bright parts.  I currently use one of several solutions, all of them are imperfect:   Brighten the image and use a dark font, or darken the image and use a white font; the problem is that it reduces the beauty of the background image. Use grey text (as in this question:  ). But grey text often looks unappealing, and is still only barely readable. Use dark text, and try to position it on the bright spots of the image (or vice versa). This takes a lot of time because it requires me to position each word separately.   Are there better solutions to this problem?   In particular: is there an automatic tool that takes an image and a text, and positions the text only on the dark/bright parts of the image? What is the relationship between MIME types and File .extensions? I may have the wrong idea here, but I thought that:    MIME types are identifying codes, embedded inside a file. File .extensions are idenifying codes, suffixed to the file's name.   I thought, from something I heard in the dim dark ages, that Linux was .extension agnostic... ( maybe it was in the early days, and things have changed since then...? )  I've recently come from the Windows world, where, at the Operating-System level, a file .extension is the only way (as far as I know) to associate it with its relevant Application program.    Because I don't know why, I find it a bit disconcerting that a file named  "fred" and a file named "fred.txt" both open up in a Text Editor.    Is there a clear-cut hierarchy at work here? SGS2 screen gets more and more dark blue, possibly after overheated charging Is there a way to find out if I need a transit visa for Canada? I'm passing through Canada, on my way to somewhere else. I'm staying only a short time.   Is there a website, or some other way of find out out if I need a visa? I'm from the State of Kuwait and hold an Eritrean passport. I'm planning to visit UK in October but my visa will expire in November.    Is it OK to make a journey in the last month of my visa, provided that I make sure that I book my plane back before expiring date? We've got a Windows 10 installation running in an environment where it can occasionally lose power and restart. However, this sometimes leads to corruption of files.  I've had a look at Windows "To-Go" but this seems to be persistent. And I've also checked out virtualisation, but that would require us to run a non-persistent Windows 10, in another Windows 10 environment.  Is it possible to install Windows 10 as a "non-persistent live CD"? So that a user will have a seemingly fresh Windows 10, but doesn't require to re-install it at each startup? Weird thing in references/bibliography page Proving this relation is transitive Let $r$ be a relation on $A \times A$ such that $(a,b) r (c,d) \iff ad = bc.$ How can I show that this relation is transitive, ie. $(a, b)r(c,d)$ and $(c,d)r(e, f) \implies (a,b)r(e,f)$?  I tried to say that $(a,b) r (c,d)$ means that $c=ka$ and $d=kb,$ $k$ a coefficient, such that $ad = bc \iff akb = bka,$ and going on from there, but I'm not sure this is valid for all values of $a, b, c,$ and $d$. How can I show the transitivity of the relation?