等候理論HW#1
... binary communication channel is p. We desire to transmit a four-bit word over the channel. Scheme 1 is to transmit the word directly. To increase the probability of successful word transmission, we may use a new code (four data bits + three check bits). So we now transmit 7 bits where before we only ...
... binary communication channel is p. We desire to transmit a four-bit word over the channel. Scheme 1 is to transmit the word directly. To increase the probability of successful word transmission, we may use a new code (four data bits + three check bits). So we now transmit 7 bits where before we only ...
Chapter 7 Lesson 8 - Mrs.Lemons Geometry
... Chapter 7 Lesson 8 Objective: To use segment and area models to find the probabilities of events. ...
... Chapter 7 Lesson 8 Objective: To use segment and area models to find the probabilities of events. ...
Exercise (change of variables)
... Exercise (joint probability of discrete r.v.’s) A car dealership sells 0, 1, or 2 luxury cars on any day. When selling a car, the dealer also tries to persuade the customer to buy an extended warranty for the car. Let X denote the number of luxury cars sold on a given day, and let Y denote the numb ...
... Exercise (joint probability of discrete r.v.’s) A car dealership sells 0, 1, or 2 luxury cars on any day. When selling a car, the dealer also tries to persuade the customer to buy an extended warranty for the car. Let X denote the number of luxury cars sold on a given day, and let Y denote the numb ...
Assignment 2
... Bonus question: We are given n (n > 5) points in three dimensional space (R3 ) that are in general position, i.e., no four of them lie on the same plane. Let Ω denote the set of the planes determined by any three of these points and assume that no two planes in Ω are parallel so that any two planes ...
... Bonus question: We are given n (n > 5) points in three dimensional space (R3 ) that are in general position, i.e., no four of them lie on the same plane. Let Ω denote the set of the planes determined by any three of these points and assume that no two planes in Ω are parallel so that any two planes ...
lecture
... • Can sometimes quantize real variables to make them discrete – E.g., age, height, distance ...
... • Can sometimes quantize real variables to make them discrete – E.g., age, height, distance ...
PDF
... as {B ∩ A1 , B ∩ A2 , . . .} is a collection of pairwise disjoint events also. Regular Conditional Probability Can we extend the definition above to PG , where G is a sub sigma algebra of F instead of an event? First, we need to be careful what we mean by PG , since, given any event A ∈ F, P (A|G) i ...
... as {B ∩ A1 , B ∩ A2 , . . .} is a collection of pairwise disjoint events also. Regular Conditional Probability Can we extend the definition above to PG , where G is a sub sigma algebra of F instead of an event? First, we need to be careful what we mean by PG , since, given any event A ∈ F, P (A|G) i ...
Homework 13
... NOTE: To speed up homework grading, please submit each homework problem on a separate sheet of paper, with you name and NetID on the top. Thank you! 1. Experiment with the “add 1 with probability 21k ” method of counting number of occurrences of 0 in a binary stream. Give the mean and variance of th ...
... NOTE: To speed up homework grading, please submit each homework problem on a separate sheet of paper, with you name and NetID on the top. Thank you! 1. Experiment with the “add 1 with probability 21k ” method of counting number of occurrences of 0 in a binary stream. Give the mean and variance of th ...
B. Sc. Examination by course unit, 2011 MTH5122 Statistical Methods, Sample Paper
... (b) A study was conducted to determine the effect of early child care on infantmother attachment patterns. In the study 93 infants were classified as either secure or anxious using the Ainsworth strange-situation paradigm. In addition, the infants were classified according to the average number of h ...
... (b) A study was conducted to determine the effect of early child care on infantmother attachment patterns. In the study 93 infants were classified as either secure or anxious using the Ainsworth strange-situation paradigm. In addition, the infants were classified according to the average number of h ...
Statistics
... 7. One of the important factors in auto safety is the weight of the vehicle. Insurance companies are interested in knowing the average weight of cars currently licensed in the United States; they believe it is 3000 pounds. To see if that estimate is correct, they checked a random sample of 91 cars. ...
... 7. One of the important factors in auto safety is the weight of the vehicle. Insurance companies are interested in knowing the average weight of cars currently licensed in the United States; they believe it is 3000 pounds. To see if that estimate is correct, they checked a random sample of 91 cars. ...
Probability box
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A probability box (or p-box) is a characterization of an uncertain number consisting of both aleatoric and epistemic uncertainties that is often used in risk analysis or quantitative uncertainty modeling where numerical calculations must be performed. Probability bounds analysis is used to make arithmetic and logical calculations with p-boxes.An example p-box is shown in the figure at right for an uncertain number x consisting of a left (upper) bound and a right (lower) bound on the probability distribution for x. The bounds are coincident for values of x below 0 and above 24. The bounds may have almost any shapes, including step functions, so long as they are monotonically increasing and do not cross each other. A p-box is used to express simultaneously incertitude (epistemic uncertainty), which is represented by the breadth between the left and right edges of the p-box, and variability (aleatory uncertainty), which is represented by the overall slant of the p-box.