More generally, suppose that an experiment consists of a number of independent trials, that each trial results in either a `` success '' or a `` non-success '' ( `` failure '' ), and that the probability of success remains constant from trial to trial.

In the marksmanship example, a trial consists of `` one round shot at a target '' with outcome either one bull's-eye ( success ) or none ( failure ).

For an experiment to qualify as a binomial experiment, it must have four properties: ( 1 ) there must be a fixed number of trials, ( 2 ) each trial must result in a `` success '' or a `` failure '' ( a binomial trial ), ( 3 ) all trials must have identical probabilities of success, ( 4 ) the trials must be independent of each other.

The word `` binomial '' means `` of two names '' or `` of two terms '', and both usages apply in our work: the first to the names of the two outcomes of a binomial trial, and the second to the terms P and Af that represent the probabilities of `` success '' and `` failure ''.

Each binomial trial of a binomial experiment produces either 0 or 1 success.

The crash of his ambitious Lawson L-4 " Midnight Liner " during its trial flight takeoff on May 8, 1921, ended his best chance for commercial aviation success.

The clinical trial is, therefore, being heralded as a success around the world.

Entropy of a Bernoulli trial as a function of success probability, often called the binary entropy function,.

* 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.

However, if the situation allows the success / failure trial to be repeated giving ( possibly ) different results, then the ratio of successes to failures provides a suitable fitness measure.

Suppose there is a sequence of independent Bernoulli trials, each trial having two potential outcomes called “ success ” and “ failure ”.

In each trial the probability of success is p and of failure is ( 1 − p ).

For k + r Bernoulli trials with success probability p, the negative binomial gives the probability of k successes and r failures, with a failure on the last trial.

Despite the trial, the film was still a success, with critics calling it a masterpiece on par with Broken Blossoms and Four Horsemen.

The success of this trial opened the way for more development by GE on the use of HD gas turbines for marine use with heavy fuels.

Of course, if you don't make the American a success, Hearst will have no further use for you ''.

Mr. Richard Preston, executive director of the New Hampshire State Planning and Development Commission, in his remarks to the Governors Conference on Industrial Development at Providence on October 8, 1960, warned against the fallacy of attempting to attract industry solely to reduce the tax rate or to underwrite municipal services such as schools when he said: `` If this is the fundamental reason for a community's interest or if this is the basic approach, success if any will be difficult to obtain ''.

Voting for one picture may be called `` success '', for the other `` failure ''.

If you are not well acquainted with the area in which you wish to locate, or if you are not sure that you and your family will like and make a success of farming, usually you would do better to rent a place for a year or two before you buy.

With loud huzzahs for the artistic success of the Presbyterian-St. Luke's Fashion show still ringing in her ears, its director, Helen Tieken Geraghty ( Mrs. Maurice P. Geraghty ) is taking off tomorrow on a 56 day world trip which should earn her even greater acclaim as director of entertainment for next summer's International Trade fair.

These qualities alone, however, would not account for their success, and it took me a while to discover the crowning virtue that completes this company's collective personality.

Lincoln's success depended on his reputation as a moderate on the slavery issue, and his strong support for Whiggish programs of internal improvements and the protective tariff.

Selective investment theory proposes that close social bonds, and associated emotional, cognitive, and neurohormonal mechanisms, evolved in order to facilitate long-term, high-cost altruism between those closely depending on one another for survival and reproductive success.

Gelignite was more stable, transportable and conveniently formed to fit into bored holes, like those used in drilling and mining, than the previously used compounds and was adopted as the standard technology for mining in the Age of Engineering bringing Nobel a great amount of financial success, though at a significant cost to his health.

The commercial and critical success of this film opened up Western film markets for the first time to the products of the Japanese film industry, which in turn led to international recognition for other Japanese filmmakers.

The success of his children's books was to become a source of considerable annoyance to Milne, whose self-avowed aim was to write whatever he pleased and who had, until then, found a ready audience for each change of direction: he had freed pre-war Punch from its ponderous facetiousness ; he had made a considerable reputation as a playwright ( like his idol J. M. Barrie ) on both sides of the Atlantic ; he had produced a witty piece of detective writing in The Red House Mystery ( although this was severely criticised by Raymond Chandler for the implausibility of its plot ).

The use of a single official language, which modern scholarship has dubbed Official Aramaic or Imperial Aramaic, can be assumed to have greatly contributed to the astonishing success of the Achaemenids in holding their far-flung empire together for as long as they did.

* 1861 – First performance of Arthur Sullivan's debut success, his suite of incidental music for The Tempest, leading to a career that included the famous Gilbert and Sullivan operas.

His Elo rating shot from 2540 in 1971 to 2660 in 1973, when he shared second in the USSR Chess Championship, and finished equal first with Viktor Korchnoi in the Leningrad Interzonal Tournament, with the latter success qualifying him for the 1974 Candidates Matches, which would determine the challenger of the reigning world champion, Bobby Fischer.

After this success, director Sydney Pollack hired Cuarón to direct an episode of Fallen Angels, a series of neo-noir stories produced for the Showtime premium cable network in 1993 ; other directors who worked on the series included Steven Soderbergh, Jonathan Kaplan, Peter Bogdanovich, and Tom Hanks.

As Jacques Revel notes, the success of the Annales School, especially its use of social structures as explanatory forces contained the seeds of its own downfall, for there is " no longer any implicit consensus on which to base the unity of the social, identified with the real.

) Ampère ’ s maturation corresponded with the transition to the Napoleonic regime in France, and the young father and teacher found new opportunities for success within the technocratic structures favoured by the new French emperor.

Gemini missions developed some of the space travel techniques that were necessary for the success of the Apollo missions.

Hasan Ali Shah sent a report of his success to Tehran, but did not receive any compensation for his achievements.

In 1245 he went to Paris, received his doctorate and taught for some time as a master of theology with great success.

A review of both published and unpublished trials submitted to the U. S. Food and Drug Administration ( FDA ) found that the published trials had a 94 % success in treating depression while the unpublished literature had below 50 % success.

A study by Kanter and Thibault in 1996 reported a 76 % success rate at 24 months in treating saphenofemoral junction and great saphenous vein incompetence with STS 3 % solution.

Ureteroscopic techniques are generally more effective than ESWL for treating stones located in the lower ureter, with success rates of 93 – 100 % using Ho: YAG laser lithotripsy.

Scientists have had high success rates in treating lab animals with many different kinds of tumors.

Habit Reversal Training ( HRT ) has the highest rate of success in treating trichotillomania.

Albert Carroll Traweek, Sr. ( 1875 – 1959 ) was a physician in Matador, originally from Fort Worth, known as the " Pneumonia doctor " for his success in treating patients with that sometimes fatal illness.

In cases where there is severe hair loss, there has been limited success treating alopecia areata with the corticosteroids clobetasol or fluocinonide, corticosteroid injections, or cream.

Two other methods claiming success in treating pornography addiction are Emotional Freedom Technique ( EFT ) and Eye Movement Desensitization and Reprocessing ( EMDR ).

Bupropion has shown some success in treating social anxiety disorder < ref name =" bpsrsocial "> and anxiety combined with depression, but not panic disorder with agoraphobia.

In 1902 another article was published claiming success in treating chronic middle ear deafness with ozone.

* In Dialectical Behavioral Therapy, a treatment shown to have some success in treating some clients with Borderline Personality Disorder, an essential tool used is based on the idea of dichotomy.

Limited studies on thrombolysis with direct infusion of urokinase and tissue plasminogen activator into the obstructed vein have shown moderate success in treating Budd – Chiari syndrome ; however, it is not routinely attempted.

Additional evidence for a role of Borna virus in psychiatric disorders comes from reports that the drug amantadine, which is used to treat influenza infections, has had some success in treating depression and clearing Borna infection.

He claimed considerable success in treating some of the emotionally disturbed children.

The fledgling order had enjoyed a modicum of success, and eventually the Tleilaxu females, angry at their males for treating them in such a way, had vowed revenge.

Mirror therapy ( MT ) has been employed with some success in treating stroke patients.

The best clinical success has been achieved in treating patients with refractory hairy cell leukemia.

Unlike most cancers, treatment success does not depend on treating the disease at an early stage.

As noted above, Osmond had some remarkable success in treating alcoholics with LSD.

Some historians have attempted to explain this association by citing Morell's reputation in Germany for success in treating syphilis, along with Hitler's own ( speculated ) fears of the disease, which he associated closely with Jews.

The success of stand-alone posterolateral fusion for treating adolescent isthmic spondylolisthesis led several authors, including Dr Leon Wiltse and Dr Eugene Carragee, to speculate about the effectiveness of posterolateral fusion without a decompression for adult patients with both back and leg pain.

Valenstein acknowledges a combination of medications and psychotherapy often offers the best chance of success at treating common disorders, but stresses no one knows exactly why.

Reid credits Asia's success to the ethical values of Chinese philosopher Confucius, who taught the value of harmony and the importance of treating others decently.