![Discrete Random Variables](http://s1.studyres.com/store/data/001346290_1-94be79ba2cc7d6c13188e75f3f1f9fd6-300x300.png)
Discrete Random Variables
... Let x be the number of gallons required to fill a propane tank. Suppose that the mean and standard deviation is 318 gal. and 42 gal., respectively. The company is considering the pricing model of a service charge of $50 plus $1.80 per gallon. Let y be the random variable of the amount billed. What ...
... Let x be the number of gallons required to fill a propane tank. Suppose that the mean and standard deviation is 318 gal. and 42 gal., respectively. The company is considering the pricing model of a service charge of $50 plus $1.80 per gallon. Let y be the random variable of the amount billed. What ...
Probability Models
... What is the probability distribution of the discrete possible random variable X that counts the numberoutcomes of ...
... What is the probability distribution of the discrete possible random variable X that counts the numberoutcomes of ...
study guide 7.9&7.10
... Directions: Click on a box to choose the number you want to select. You must select all correct numbers. Craig has a six sided number cube. He rolls the number cube 250 times and records the data in the table. ...
... Directions: Click on a box to choose the number you want to select. You must select all correct numbers. Craig has a six sided number cube. He rolls the number cube 250 times and records the data in the table. ...
MAS144 – Computational Mathematics and Statistics A (Statistics)
... Using a seed of 0, a multiplier of 4, an additive constant of 17 and a modulo of 27, generate the first 5 terms of the sequence produced by this generator. Is the maximum possible period for this choice of modulo achieved? What is the period for this generator. ...
... Using a seed of 0, a multiplier of 4, an additive constant of 17 and a modulo of 27, generate the first 5 terms of the sequence produced by this generator. Is the maximum possible period for this choice of modulo achieved? What is the period for this generator. ...
conditional probability
... Conditional Probability The probability that one event happens given that another event is already known to have happened is called a conditional probability. Suppose we know that event A has happened. Then the probability that event B happens given that event A has happened is denoted by P(B A). ...
... Conditional Probability The probability that one event happens given that another event is already known to have happened is called a conditional probability. Suppose we know that event A has happened. Then the probability that event B happens given that event A has happened is denoted by P(B A). ...
Distinctions Between Probability Situations
... The main formula P(A B) P A P B P A B is still good. The value of P A B has to be obtained by some experience. It is neither zero, like mutually exclusive events, nor is it P(A)P(B), like independent events. Conditional probability is the probability that an event will occur ...
... The main formula P(A B) P A P B P A B is still good. The value of P A B has to be obtained by some experience. It is neither zero, like mutually exclusive events, nor is it P(A)P(B), like independent events. Conditional probability is the probability that an event will occur ...
TSG 14 Teaching and learning of probability - ICME-13
... again, re-formulate a research agenda in this area for the coming years. The group welcomes theoretical analyses and empirical research in probability education using a variety of research methods, coming from researchers and teachers that deal with any of the following topics: The nature of chanc ...
... again, re-formulate a research agenda in this area for the coming years. The group welcomes theoretical analyses and empirical research in probability education using a variety of research methods, coming from researchers and teachers that deal with any of the following topics: The nature of chanc ...
Infinite monkey theorem
![](https://commons.wikimedia.org/wiki/Special:FilePath/Monkey-typing.jpg?width=300)
The infinite monkey theorem states that a monkey hitting keys at random on a typewriter keyboard for an infinite amount of time will almost surely type a given text, such as the complete works of William Shakespeare.In this context, ""almost surely"" is a mathematical term with a precise meaning, and the ""monkey"" is not an actual monkey, but a metaphor for an abstract device that produces an endless random sequence of letters and symbols. One of the earliest instances of the use of the ""monkey metaphor"" is that of French mathematician Émile Borel in 1913, but the first instance may be even earlier. The relevance of the theorem is questionable—the probability of a universe full of monkeys typing a complete work such as Shakespeare's Hamlet is so tiny that the chance of it occurring during a period of time hundreds of thousands of orders of magnitude longer than the age of the universe is extremely low (but technically not zero). It should also be noted that real monkeys don't produce uniformly random output, which means that an actual monkey hitting keys for an infinite amount of time has no statistical certainty of ever producing any given text.Variants of the theorem include multiple and even infinitely many typists, and the target text varies between an entire library and a single sentence. The history of these statements can be traced back to Aristotle's On Generation and Corruption and Cicero's De natura deorum (On the Nature of the Gods), through Blaise Pascal and Jonathan Swift, and finally to modern statements with their iconic simians and typewriters. In the early 20th century, Émile Borel and Arthur Eddington used the theorem to illustrate the timescales implicit in the foundations of statistical mechanics.