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.

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.

It is worth dwelling in some detail on the crisis of this story, because it brings together a number of characteristic elements and makes of them a curious, riddling compound obscurely but centrally significant for Mann's work.

That is how the real routine of resistance goes on, and its strength is directly proportionate to the number of insignificant people who can let themselves be taken to pieces, piece by piece, without quitting.

The editorial was based on a news association dispatch which said that the telegraphers had secured an agreement whereby they were guaranteed 40 hours' pay per week whether they worked or not and that a reduction in their number was limited to 2 per cent per year.

People who take us for suckers are like the Westerner who had on exhibit his superior marksmanship in the form of a number of bull's-eye achievements.

The ledger was full of most precise information: date of laying, length of incubation period, number of chick reaching the first week, second week, fifth week, weight of hen, size of rooster's wattles and so on, all scrawled out in a hand that looked more Chinese than English, the most jagged and sprawling Alex had ever seen.

The Navy, on April 25, announced it is bringing back the carrier Shangri-La from the Mediterranean, increasing to four the number of attack carriers in the vicinity of Cuba.

Rather, such assignments are made, as they must be, on the basis of certain overall rules and standards, representing to some extent a statistical approach to the problem, taking into account for each situation some of the variables ( e.g., power and station separations ) and averaging out others in order to achieve the balance which must be struck between protection against destructive interference and the assignment of a number of stations large enough to afford optimum radio service to the Nation.

During nighttime hours, because of the intense skywave propagation then prevailing, no large number of stations can be permitted to operate on one of these channels, if the wide area service for which these frequencies are assigned is to be rendered satisfactorily by the dominant stations which must be relied upon to render it.

On the remainder of the clear channels, the dominant ( class 1 ) -- B stations are protected as described above, and the relatively small number of secondary ( class 2 ) ) stations permitted to operate on these channels at night are required to operate directionally and/or with reduced power so as to protect the class 1, stations.

In the daytime, on the other hand, since skywave transmission is relatively inefficient, it is possible to assign a substantially larger number of stations on these channels.

Additional class 2, assignments for daytime operation can be made without causing destructive interference to the class 1, stations or to each other, and by their operation provide additional service on these channels and additional local outlets for a large number of communities.

The original machine, bearing its famous serial number, is still on exhibition at the Brown & Sharpe Precision Center in Providence.

Net income was $2,557,111, or $3.11 per share on 821,220 common shares currently outstanding, as compared to $2,323,867 or $2.82 per share in 1959, adjusted to the same number of shares.

If your state has no provisions for the numbering of pleasure boats, you must apply for a number from the U.S. Coast Guard for any kind of boat with mechanical propulsion rated at more than 10 horsepower before it can be used on Federal waterways.

As America on wheels was responsible for an industry of motor courts, motels, and drive-in establishments where you can dine, see a movie, shop, or make a bank deposit, the ever-increasing number of boating enthusiasts have sparked industries designed especially to accommodate them.

The number of locking bars required depends on how many false moves must be prevented.

The number on the right of the symbol is always subtracted from the number on the left of the symbol.

The nation's number one picnic treat is the skinless frankfurter -- toasted over a bonfire on the beach or, more sedately, charcoal broiled on a portable grill.

A number of C clamps hold the pieces together on the jig until the glue sets.

This, of course, depends on the character of the site itself, the previous experience of the investigator, and the number of factors needed to arrive at a good decision.