Each performance of an n-trial binomial experiment results in some whole number from 0 through N as the value of the random variable X, where Af.

The outcome of the experiment is X successes.

The random variable X takes the values Af with probabilities Af or, more briefly Af.

We shall find a formula for the probability of exactly X successes for given values of P and N.

When each number of successes X is paired with its probability of occurrence Af, the set of pairs Af, is a probability function called a binomial distribution.

The several trials of a binomial experiment produce a new random variable X, the total number of successes, which is just the sum of the random variables associated with the single trials.

Their sum is X, the total number of successes, which in this experiment has the value Af.

The list of text forms in the W-region of memory and the contents of the information cells in the X and Y-regions are no longer required.

For the case of a purely inertial autonavigator consisting of three restrained gyros, a coordinate system is used where the sensitive axis of the X accelerometer is parallel to the east-west direction at the base point, and the Y accelerometer sensitive axis is parallel to the north-south direction at the base point.

The input axis of the X gyro, when pointing in the east-west direction, is always perpendicular to the spin axis of earth.

The sensing of this rotation by the X gyro can be utilized to direct the platform into proper heading.

The Greek evidently fell for her, `` Monsieur X '' recounted, and to clinch what he thought was an affair in the making he gave her 100,000 francs ( about $300 ) and led her to the roulette tables.

* If numbers have mean X, then.

* If it is required to use a single number X as an estimate for the value of numbers, then the arithmetic mean does this best, in the sense of minimizing the sum of squares ( x < sub > i </ sub > − X )< sup > 2 </ sup > of the residuals.

The groove marked I indicates units, X tens, and so on up to millions.

A choice function is a function f, defined on a collection X of nonempty sets, such that for every set s in X, f ( s ) is an element of s. With this concept, the axiom can be stated:

: For any set X of nonempty sets, there exists a choice function f defined on X.

Each choice function on a collection X of nonempty sets is an element of the Cartesian product of the sets in X.

: Given any set X of pairwise disjoint non-empty sets, there exists at least one set C that contains exactly one element in common with each of the sets in X.

This guarantees for any partition of a set X the existence of a subset C of X containing exactly one element from each part of the partition.

These included updates to EtherTalk and TokenTalk, AppleTalk software and LocalTalk hardware for the IBM PC, EtherTalk for Apple's A / UX operating system allowing it to use LaserPrinters and other network resources, and the Mac X. 25 and MacX products.

:* When is entered, it is picked up by the scanning unit, the number 25 is encoded and sent to the X register.

* X. 25 connections.

X. 25 can still be supported over PPP, or even over IP, but doing this requires either a network based router to perform encapsulation or intelligence built in to the end-device / terminal ; e. g., user equipment ( UE ).

* X. 25

By 1994 the " 3174 Establishment Controller " supported features such as attachment to multiple hosts via token ring, ethernet, or X. 25 in addition to the standard channel attach or SDLC, and terminal attachment via twisted pair, token ring or ethernet in addition to co-ax.

X. 25 can be carried over the B or D channels of a BRI line, and over the B channels of a PRI line.

X. 25 over the D channel is used at many point-of-sale ( credit card ) terminals because it eliminates the modem setup, and because it connects to the central system over a B channel, thereby eliminating the need for modems and making much better use of the central system's telephone lines.

X. 25 was also part of an ISDN protocol called " Always On / Dynamic ISDN ", or AO / DI.

This allowed a user to have a constant multi-link PPP connection to the internet over X. 25 on the D channel, and brought up one or two B channels as needed.

The D channel can also be used for sending and receiving X. 25 data packets, and connection to X. 25 packet network, this is specified in X. 31.

In the early 1980s a standardisation and interconnect effort started, hosted on an expansion of the SERCnet X. 25 research network.

In the mid-80s the backbone was upgraded to a 2 Mbit / s backbone with 64 kbit / s access links, and a further upgrade in the early 1990s sped the backbone to 8 Mbit / s and the access links to 2 Mbit / s, making Janet the fastest X. 25 network in the world.

The Janet effort resulted in the standardisation known as the Coloured Book protocols, which provided the first complete X. 25 standard.

Within ten months the IP traffic had exceeded the levels of X. 25 traffic, and the IP support became official in November.

SOTELMA the state telecom, provides X. 25 and dial-up telephone services.

That same year, a X. 25 Packet Switched data exchange was also installed.

The game became more widely accessible when a guest account was set up that allowed users on JANET ( a British academic X. 25 computer network ) to connect on weekends and between the hours of 2 AM and 8 AM on weekdays.

OS X v10. 8 " Mountain Lion " was announced on February 16, 2012, and was released online via the App Store on July 25.

* X. 25 ( see ITU-T X. 121 for addressing in public data networks )

Pope Innocent X ( 1644 – 55 ) sent him as nuncio to Naples, where he remained for eight years.

Meanwhile, the Cowboys ' " Doomsday Defense " remained in the superb form that helped lead the Cowboys ' Super Bowl X appearance.

It has remained in its dinosaur state since the departure of Professor X.

X terminals remained relatively popular even after the arrival of other thin clients in the mid-late 1990s.

By 2003, while the popularity of Linux ( and hence the installed base of X ) surged, X. Org remained inactive, and active development took place largely within XFree86.

However, the Medici remained masters of Italy through their two famous 16th century popes, Leo X and Clement VII, who were de facto rulers of both Rome and Florence.

However, because both the chromosomes were necessary for reproduction, the Y chromosome remained, despite its inability to pair with the X.

Semifactual thought experiments speculate on the extent to which things might have remained the same, despite there being a different past ; and asks the question Even though X happened instead of E, would Y have still occurred?

However, certain ideas tinged with Jansenism remained in circulation for much longer ; in particular, the Jansenist idea that Holy Communion should be received very infrequently, and that reception required much more than freedom from mortal sin, remained influential until finally condemned by Pope St. Pius X, who endorsed frequent communion, as long as the communicant was free of mortal sin, in the early 20th century.

In contrast to his brother, King Haakon VII of Norway, and Queen Wilhelmina of the Netherlands, who went into exile during the Nazi occupation of their countries, Christian X remained in his capital throughout the occupation of Denmark, being to the Danish people a visible symbol of the national cause ( although it is important to note that Norway's King Haakon VII was forced to escape the invading Germans after refusing to accept a Nazi-friendly puppet regime ).

These were still printed in the Missal, which, except for the replacement of the Holy Week liturgies, remained unchanged and was not considered to constitute a new editio typica superseding that of Pope Pius X, which was published by Pope Benedict XV in 1920.

Also, the configuration remained popular in " progressive rock ", with groups such as Rush, King's X and Mantra Sunrise.

This was the situation in the Tridentine Calendar established by Pope Pius V, and remained so until the year 1908, when Pope Pius X brought the date for celebrating them forward to 6 March.

In the end, only three qualified bidders remained: ABB ( Swedish manufacturer of the X 2000 train ), Siemens ( manufacturer of the German ICE ), and a consortium of Bombardier ( manufacturer of the LRC trains ) and Alstom ( manufacturer of the French TGV ).

After the Fall of Charles X, the district lost most of its political influence but remained the center of French upper class ' social life.

While some groups and individuals within the civil rights movement — such as Malcolm X — advocated Black Power, black separatism, or even armed resistance, the majority of participants remained committed to the principles of nonviolence, a deliberate decision by an oppressed minority to abstain from violence for political gain.

The police and judicial system remained in Danish hands and unlike most occupied countries, King Christian X remained in the country as Danish Head of State.

It remained a part of the operating system until Mac OS X.

Posterity is not likely to endorse the verdict of Horace Walpole, who thought Roscoe the best of our historians, but his books on Lorenzo de ' Medici and Pope Leo X remained important contributions to historical literature.

Under the Capetian rule, Senlis became a royal city and remained so until the reign of Charles X.

His most famous work also coincides temporally with the so-called Generation X, and the post-adolescent aimlessness identified with that movement has remained one of his signature themes.