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A Binomial distributed random variable X ~ B(n, p) can be considered as the sum of n Bernoulli distributed random variables. So the sum of two Binomial distributed random variable X ~ B(n, p) and Y ~ B(m, p) is equivalent to the sum of n + m Bernoulli distributed random variables, which means Z=X+Y ~ B(n+m, p). This can also be proven directly ...
Problem" boasted just 1.3% less points than John Legend's "All of Me", which claimed the Hot 100 top spot. [69] In its second week, "Problem" fell one spot to number four despite gains in airplay and streaming, while Iggy Azalea's "Fancy" replaced it as number three. [69] "Problem" returned to its number three peak the following week before ...
A sum is an administrative division used in China, Mongolia, and Russia. Countries such as China and Mongolia have employed the sum as administrative division, which was used during the Qing dynasty. This system was acted in the 1980s after the Chinese Communist Party gained power in conjunction with their growing internal and external problems ...
ChatGPT is an AI chatbot program developed by OpenAI, using large language models based on GPT architectures. Learn how it can converse in different languages and styles.
Apollo 1, initially designated AS-204, was planned to be the first crewed mission of the Apollo program, [1] the American undertaking to land the first man on the Moon. It was planned to launch on February 21, 1967, as the first low Earth orbital test of the Apollo command and service module.
In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle.It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.
In computer science and mathematics, the Josephus problem (or Josephus permutation) is a theoretical problem related to a certain counting-out game. Such games are used to pick out a person from a group, e.g. eeny, meeny, miny, moe. A drawing for the Josephus problem sequence for 500 people and skipping value of 6.
The partial sums of the series 1 + 2 + 3 + 4 + 5 + 6 + ⋯ are 1, 3, 6, 10, 15, etc.The nth partial sum is given by a simple formula: = = (+). This equation was known ...