A binomial experiment can produce random variables other than the number of successes.

Thus we do not score the number of bull's-eyes, and the random variable is not the number of successes.

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.

then the number of successes is always 0 ).

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.

The number of successes on each shot is a value of a random variable that has values 0 or 1, and there are 5 such random variables here.

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

Don ’ s number 1 successes in Europe and Australia led to a new deal in the USA with Millennium Records.

After a number of initial successes, Sucre's army was defeated at Ambato in the central Sierra and he appealed for assistance from San Martín, whose army was by now in Peru.

During World War II, the British at Bletchley Park ( 40 miles north of London ) achieved a number of successes at breaking encrypted German military communications.

The Boer had a number of military successes, killing possibly 1, 500 Basotho soldiers, and annexed an expanse of arable land which they were able to retain following a treaty at Thaba Bosiu.

* X is the number of successes in twelve independent Bernoulli trials with probability θ of success on each trial, and

* Y is the number of independent Bernoulli trials needed to get three successes, again with probability θ of success on each trial.

After a number of notable successes and some early failures in the 1920s, the League ultimately proved incapable of preventing aggression by the Axis powers in the 1930s.

The combined Papal-Byzantine forces joined with the rebels against the Normans in Southern Italy, achieving a string of rapid successes as a number of cities yielded either to the threat of force or the lure of gold.

One of their major successes came in the early 1990s when they introduced the first low-cost 14. 4 kbit / s modem chip set, which was used in a huge number of modems.

This project was ultimately given up as a failure, but along the way it produced a number of successes, mostly a series of translated works.

Robert's military successes against Edward II were due to a number of factors, not the least of which was the Scottish king's strategy.

In probability theory and statistics, the negative binomial distribution is a discrete probability distribution of the number of successes in a sequence of Bernoulli trials before a specified ( non-random ) number of failures ( denoted r ) occur.

Then the random number of successes we have seen, X, will have the negative binomial ( or Pascal ) distribution:

The definition where X is the total number of trials needed to get r failures, not simply the number of successes.

Since the total number of trials is equal to the number of successes plus the number of failures, this definition differs from ours by adding constant r.

During January – February 2007, Armenia ’ s trade with Russia and other former Soviet republics was $ 205. 6 million ( double the amount from the same period the previous year ), making them the country ’ s number one trading partner.

The low number of abnormalities compares favourably with the health condition of a Majungasaurus population of which it in 2007 was established that 19 % of individuals showed bone pathologies.

Atle Selberg ( 14 June 1917 – 6 August 2007 ) was a Norwegian mathematician known for his work in analytic number theory, and in the theory of automorphic forms, in particular bringing them into relation with spectral theory.

After the tumultuous and disappointing 2007 season, the Falcons made a number of moves, hiring a new General Manager and head coach, drafting a new starting quarterback, and signing a starting running back.

Current personnel in the armed forces number 72, 940 ( IISS 2007 ), although a reduction to 60, 000 is planned.

country code-55 ; landing point for a number of submarine cables, including Atlantis 2, that provide direct links to South and Central America, the Caribbean, the US, Africa, and Europe ; satellite earth stations-3 Intelsat ( Atlantic Ocean ), 1 Inmarsat ( Atlantic Ocean region east ), connected by microwave relay system to Mercosur Brazilsat B3 satellite earth station ( 2007 )

As an all-male residence from 1913 to 2007 it held a number of unique traditions.

The number of mobile telephone subscribers totaled an estimated 31 million in 2007, as compared to 21. 8 million in 2005 and 6. 8 million in 2001.

In September 2007, Parton released her first single from her own record company, Dolly Records, entitled, " Better Get to Livin '," which eventually peaked at number forty-eight on the Billboard's Hot Country Songs chart.

When that research was repeated in 2007, the number of senior management posts held by women had fallen to 22 %.

The world's largest derivatives exchanges ( by number of transactions ) are the Korea Exchange ( which lists KOSPI Index Futures & Options ), Eurex ( which lists a wide range of European products such as interest rate & index products ), and CME Group ( made up of the 2007 merger of the Chicago Mercantile Exchange and the Chicago Board of Trade and the 2008 acquisition of the New York Mercantile Exchange ).

Starting in 2007 with an economy surpassed by the economic crisis, Ecuador was subject to a number of economic policy reforms by Government that have helped steer the Ecuadorian economy to a sustained, substantial, and focused to achieve financial stability and social policy.

6, 555, 000 ( January 2007 )-This year the number of mobile phones exceeded the country's population giving the country a 1. 15 per capita for cellphones

For a number of years this volunteer led festival has concentrated mostly around film but, starting in the Year of Highland Culture-Highland 2007, its scope was widened, and it dropped the ' film ' from its title.

In the United States, Home Improvement started to air in broadcast syndication in September 1995, distributed via Buena Vista Television ( now Disney-ABC Domestic Television ) and continued to be syndicated until 2007 ; in a manner similar to Seinfeld and The Simpsons after they began airing in broadcast syndication, episodes of Home Improvement were not aired in order of their production code number or original airdate.

As of November 2007, according to ComReg the Irish Communications Regulator DSL is available to c. 88 % of homes and businesses, however this figure is disputed my many pressure groups in Ireland as it only reflects the number of telephone lines connected to a broadband enabled exchange, not whether those lines are of a high enough quality to receive a DSL connection.

The number of unregistered Romanians is difficult to estimate, but the Balkan Investigative Reporting Network suggested that in 2007 that there might have been half a million or more.

After ethnic quotas on immigration were removed in 1965 the number of actual ( first-generation ) immigrants living in the United States eventually quadrupled, from 9. 6 million in 1970 to about 38 million in 2007.

Although the party's share of first preference votes increased by some 22 % from 3. 84 % to 4. 69 % nationally in the 2007 general election, held on 24 May 2007, the party failed to increase the number of TDs returned.

ISO 13616-1: 2007 " specifies the elements of an international bank account number ( IBAN ) used to facilitate the processing of data internationally in data interchange, in financial environments as well as within and between other industries " but " does not specify internal procedures, file organization techniques, storage media, languages, etc.

For the 60th anniversary of Robinson's major league debut, MLB invited players to wear the number 42 on Jackie Robinson Day in 2007.

According to Ethnologue, there were approximately 471, 000 Kipsigis speakers in 2007, with the number increasing.

Rock n Roll Jesus was released on October 9, 2007, becoming Kid Rock's first album to go number 1, selling 172, 000 copies in its first week.

The 2007 Princeton Review ranked Millsaps as number 14 in " Class Discussions Encouraged ", and number 3 in " Administration ".