slides
... This is statistical question, sometimes called the inversion, and is solved later. The solution rest on the following: Bayes’s theorem Let A and B be events such that P (B) > 0. Then P (A|B) = ...
... This is statistical question, sometimes called the inversion, and is solved later. The solution rest on the following: Bayes’s theorem Let A and B be events such that P (B) > 0. Then P (A|B) = ...
21-110: Problem Solving in Recreational Mathematics
... “Well, I suppose it’s getting pretty late, and we have a big day tomorrow. Sleep well, and I’ll see you in the morning!” That night the mathematicians get together and decide that they must devise a strategy to maximize the expected number of them who will go free. What strategy should they adopt? S ...
... “Well, I suppose it’s getting pretty late, and we have a big day tomorrow. Sleep well, and I’ll see you in the morning!” That night the mathematicians get together and decide that they must devise a strategy to maximize the expected number of them who will go free. What strategy should they adopt? S ...
Entering Grade 8 Summer Mathematics Packet 2016
... outcome will occur. It can be theoretical where it’s the ratio of the number of favorable outcomes (assuming they are equally likely) to the total number of outcomes or experimental where it’s the ratio of the number of favorable outcomes of a trial to the total number of trials in an experiment. ...
... outcome will occur. It can be theoretical where it’s the ratio of the number of favorable outcomes (assuming they are equally likely) to the total number of outcomes or experimental where it’s the ratio of the number of favorable outcomes of a trial to the total number of trials in an experiment. ...
Math notes 2nd 9wks pdf_1
... items by possible outcomes to determine the sample space. You must multiply the number of options in each category by the number of options for each category. Ex) 3 coins with two options (heads/tails). It is not correct to multiple 3 times 2 and get a sample space of 6. You must multiply 2• 2 • 2=8 ...
... items by possible outcomes to determine the sample space. You must multiply the number of options in each category by the number of options for each category. Ex) 3 coins with two options (heads/tails). It is not correct to multiple 3 times 2 and get a sample space of 6. You must multiply 2• 2 • 2=8 ...
Lecture 10: Introduction to reasoning under uncertainty Uncertainty
... • We define the world as a set of random variables Ω = {X1 . . . Xn}. • A probabilistic model is an encoding of probabilistic information that allows us to compute the probability of any event in the world • The world is divided into a set of elementary, mutually exclusive events, called states – E. ...
... • We define the world as a set of random variables Ω = {X1 . . . Xn}. • A probabilistic model is an encoding of probabilistic information that allows us to compute the probability of any event in the world • The world is divided into a set of elementary, mutually exclusive events, called states – E. ...
.pdf
... (a) (2 marks) The Markov chain is finite, therefore there is at least one positive recurrent state. It is irreducible, therefore all states are positive recurrent. This implies a stationary distribution exits (and it is unique). (b) (2 marks) The Markov chain {Yn : n ≥ 0} needn’t be aperiodic but th ...
... (a) (2 marks) The Markov chain is finite, therefore there is at least one positive recurrent state. It is irreducible, therefore all states are positive recurrent. This implies a stationary distribution exits (and it is unique). (b) (2 marks) The Markov chain {Yn : n ≥ 0} needn’t be aperiodic but th ...
Document
... – The status of all road construction within 100 miles of the bus stop. • It would be apparent that it would be too difficult to analyze the effects of all the factors ...
... – The status of all road construction within 100 miles of the bus stop. • It would be apparent that it would be too difficult to analyze the effects of all the factors ...
Sampling Distributions
... more than 20 hours/week in jobs not related to their studies. This can have a serious impact on their grades. What is the probability that I have at least 5 such students in this class? Answer: There is better than a 99% chance! ...
... more than 20 hours/week in jobs not related to their studies. This can have a serious impact on their grades. What is the probability that I have at least 5 such students in this class? Answer: There is better than a 99% chance! ...
Examples of discrete probability distributions
... Poisson Distribution, example The Poisson distribution models counts, such as the number of new cases of SARS that occur in women in New England next month. The distribution tells you the probability of all possible numbers of new cases, from 0 to infinity. If X= # of new cases next month and X ~ P ...
... Poisson Distribution, example The Poisson distribution models counts, such as the number of new cases of SARS that occur in women in New England next month. The distribution tells you the probability of all possible numbers of new cases, from 0 to infinity. If X= # of new cases next month and X ~ P ...
pdf
... The purpose of this course is to develop and analyse probability models that capture the salient features of the system under study to predict the short and long term effects that this randomness will have on the systems under consideration. The study of probability models for stochastic processes i ...
... The purpose of this course is to develop and analyse probability models that capture the salient features of the system under study to predict the short and long term effects that this randomness will have on the systems under consideration. The study of probability models for stochastic processes i ...
chapter 6 ppt
... and storage devices such as a disk drive. Most computer system problems due to manufacturer defects occur soon in the system’s lifetime. Purchasers of new computer systems are advised to turn their computers on as soon as they are purchased and then to let the computer run for a few hours to see if ...
... and storage devices such as a disk drive. Most computer system problems due to manufacturer defects occur soon in the system’s lifetime. Purchasers of new computer systems are advised to turn their computers on as soon as they are purchased and then to let the computer run for a few hours to see if ...
Chapter 6
... and storage devices such as a disk drive. Most computer system problems due to manufacturer defects occur soon in the system’s lifetime. Purchasers of new computer systems are advised to turn their computers on as soon as they are purchased and then to let the computer run for a few hours to see if ...
... and storage devices such as a disk drive. Most computer system problems due to manufacturer defects occur soon in the system’s lifetime. Purchasers of new computer systems are advised to turn their computers on as soon as they are purchased and then to let the computer run for a few hours to see if ...
7th Grade
... likelihood. A probability near 0 indicates an unlikely event, a probability around ½ indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event. 6. Approximate the probability of a chance event by collecting data on the chance process that produces it a ...
... likelihood. A probability near 0 indicates an unlikely event, a probability around ½ indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event. 6. Approximate the probability of a chance event by collecting data on the chance process that produces it a ...