QUES: Von Neumann made fundamental contributions to mathematical statistics. In 1941, he derived the exact distribution of the ratio of the mean square of successive differences to the sample variance for independent and identically normally distributed variables. This ratio was applied to the residuals from regression models and is commonly known as the Durbin–Watson statistic for testing the null hypothesis that the errors are serially independent against the alternative that they follow a stationary first order autoregression.

When did von NEumann establish mean square ratio?
What is the answer?
ANS: 1941
QUES: Scotland, meanwhile had remained an independent Kingdom. In 1603, that changed when the King of Scotland inherited the Crown of England, and consequently the Crown of Ireland also. The subsequent 17th century was one of political upheaval, religious division and war. English colonialism in Ireland of the 16th century was extended by large-scale Scottish and English colonies in Ulster. Religious division heightened and the King in England came into conflict with parliament. A prime issue was, inter alia, over his policy of tolerance towards Catholicism. The resulting English Civil War or War of the Three Kingdoms led to a revolutionary republic in England. Ireland, largely Catholic was mainly loyal to the king. Following defeat to the parliaments army, large scale land distributions from loyalist Irish nobility to English commoners in the service of the parliamentary army created the beginnings a new Ascendancy class which over the next hundred years would obliterate the English (Hiberno-Norman) and Gaelic Irish nobility in Ireland. The new ruling class was Protestant and British, whilst the common people were largely Catholic and Irish. This theme would influence Irish politics for centuries to come. When the monarchy was restored in England, the king found it politically impossible to restore all the lands of former land-owners in Ireland. The "Glorious Revolution" of 1688 repeated similar themes: a Catholic king pushing for religious tolerance in opposition to a Protestant parliament in England. The king's army was defeated at the Battle of the Boyne and at the militarily crucial Battle of Aughrim in Ireland. Resistance held out, and a guarantee of religious tolerance was a cornerstone of the Treaty of Limerick. However, in the evolving political climate, the terms of Limerick were superseded, a new monarchy was installed, and the new Irish parliament was packed with the new elite which legislated increasing intolerant Penal Laws, which discommoded both Dissenters and Catholics.

Which crown did the King of Scotland inherit in 1603?
What is the answer?
ANS: Crown of England
QUES: Although the PC market declined, Apple still managed to ship 2.8 million MacBooks in Q2 2012 (the majority of which are the MacBook Air) compared to 500,000 total Ultrabooks, although there were dozens of Ultrabooks from various manufacturers on the market while Apple only offered 11-inch and 13-inch models of the MacBook Air. The Air has been the best-selling ultra-portable in certain countries over Windows Ultrabooks, particularly the United States. While several Ultrabooks were able to claim individual distinctions such as being the lightest or thinnest, the Air was regarded by reviewers as the best all-around subnotebook/ultraportable in regard to "OS X experience, full keyboard, superior trackpad, Thunderbolt connector and the higher-quality, all-aluminum unibody construction". The Air was among the first to receive Intel's latest CPUs before other PC manufacturers, and OS X has gained market share on Windows in recent years. Through July 1, 2013, the MacBook Air took in 56 percent of all Ultrabook sales in the United States, although being one of the higher-priced competitors, though several Ultrabooks with better features were often more expensive than the MacBook Air. The competitive pricing of MacBooks was particularly effective when rivals charged more for seemingly equivalent Ultrabooks, as this contradicted the established "elitist aura" perception that Apple products cost more but were higher quality, which made these most expensive Ultrabooks seem exorbitant no matter how valid their higher prices were.

What has been the best-selling ultra-portable over Windows Ultrabooks in the U.S.?
What is the answer?
ANS:
MacBook Air