ECE-316 Tutorial for the week of June 1-5
... Æ The satellite system may function either tomorrow is rainy or dry. Æ Whether it will rain or not, the system will function for i= k or k+1 or ….. n components out of n components function on this day, thus we have for each i a total number of combinations equal to ...
... Æ The satellite system may function either tomorrow is rainy or dry. Æ Whether it will rain or not, the system will function for i= k or k+1 or ….. n components out of n components function on this day, thus we have for each i a total number of combinations equal to ...
3. In an open refrigerator, there are seven different types of diet soda
... a. Suppose Evan chose a bottle from the refrigerator at random. Could we realistically say that the probability of choosing a diet soda is 7/13? Why or why not? Yes, since there are 13 bottles and only 7 of them are diet, the probability of choosing a diet soda in a random pick is 7/13. b. If there ...
... a. Suppose Evan chose a bottle from the refrigerator at random. Could we realistically say that the probability of choosing a diet soda is 7/13? Why or why not? Yes, since there are 13 bottles and only 7 of them are diet, the probability of choosing a diet soda in a random pick is 7/13. b. If there ...
Chapter 8: The Binomial and Geometric
... Example: We will take our simulation example to analyze various aspects of the geometric distribution. Lets first find the various probabilities associated with our dice simulation and come up with a probability distribution: a. The probability that a 6 will come up on the first roll is (1/6) so for ...
... Example: We will take our simulation example to analyze various aspects of the geometric distribution. Lets first find the various probabilities associated with our dice simulation and come up with a probability distribution: a. The probability that a 6 will come up on the first roll is (1/6) so for ...
TPS4e_Ch5_5.2
... number of outcomes corresponding to event A P( A) total number of outcomes in sample space ...
... number of outcomes corresponding to event A P( A) total number of outcomes in sample space ...
Discrete Structures. CSCI-150.
... What is the conditional probability that exactly four heads appear when a fair coin is flipped five times, given that the first flip came up heads? ...
... What is the conditional probability that exactly four heads appear when a fair coin is flipped five times, given that the first flip came up heads? ...
Review - Lexington Public Schools
... 7. In a survey of 1000 college students, 60% of the students said they were stressed out by school. Five percent of the stressed out students dropped out of college before they graduated and two percent of the non-stressed out students dropped out. a. Make a table representing this situation. ...
... 7. In a survey of 1000 college students, 60% of the students said they were stressed out by school. Five percent of the stressed out students dropped out of college before they graduated and two percent of the non-stressed out students dropped out. a. Make a table representing this situation. ...
Chapter10slides
... Step 1: Establish the range of values within which the decision maker thinks that the uncertain quantity will lie. Step 2: Ask the decision maker to imagine scenarios that could lead to the true value lying outside the range. Step 3: Revise the range in the light of the responses in Step 2. Step 4: ...
... Step 1: Establish the range of values within which the decision maker thinks that the uncertain quantity will lie. Step 2: Ask the decision maker to imagine scenarios that could lead to the true value lying outside the range. Step 3: Revise the range in the light of the responses in Step 2. Step 4: ...
probability distributions
... deviation, or both, While it is possible to provide probability tables for discrete distributions such asa the binomial and the poisson, providing tables for infinite number of normal distributions is impossible. Fortunately, one member of the family can be used to determine the probabilities for al ...
... deviation, or both, While it is possible to provide probability tables for discrete distributions such asa the binomial and the poisson, providing tables for infinite number of normal distributions is impossible. Fortunately, one member of the family can be used to determine the probabilities for al ...
PDF
... There are several convergence theorems for martingales, which follow from Doob’s upcrossing lemma. The following says that any L1 -bounded martingale Xn in discrete time converges almost surely. Note that almost-sure convergence (i.e. convergence with probability one) is quite strong, implying the w ...
... There are several convergence theorems for martingales, which follow from Doob’s upcrossing lemma. The following says that any L1 -bounded martingale Xn in discrete time converges almost surely. Note that almost-sure convergence (i.e. convergence with probability one) is quite strong, implying the w ...
Chapter 7--prob dist
... NOTE: there is a table on p 776 that assists by giving pre-calculated values based on the value of n and π ...
... NOTE: there is a table on p 776 that assists by giving pre-calculated values based on the value of n and π ...
Ars Conjectandi
Ars Conjectandi (Latin for The Art of Conjecturing) is a book on combinatorics and mathematical probability written by Jakob Bernoulli and published in 1713, eight years after his death, by his nephew, Niklaus Bernoulli. The seminal work consolidated, apart from many combinatorial topics, many central ideas in probability theory, such as the very first version of the law of large numbers: indeed, it is widely regarded as the founding work of that subject. It also addressed problems that today are classified in the twelvefold way, and added to the subjects; consequently, it has been dubbed an important historical landmark in not only probability but all combinatorics by a plethora of mathematical historians. The importance of this early work had a large impact on both contemporary and later mathematicians; for example, Abraham de Moivre.Bernoulli wrote the text between 1684 and 1689, including the work of mathematicians such as Christiaan Huygens, Gerolamo Cardano, Pierre de Fermat, and Blaise Pascal. He incorporated fundamental combinatorial topics such as his theory of permutations and combinations—the aforementioned problems from the twelvefold way—as well as those more distantly connected to the burgeoning subject: the derivation and properties of the eponymous Bernoulli numbers, for instance. Core topics from probability, such as expected value, were also a significant portion of this important work.