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Recall that an element a is called algebraic over a ring (or field) R if a is the root of some polynomial in R[x].
Is the element a = 2/5 + i/3, (R= the integers) algebraic over the ring (or field) R? If so, give a polynomial in R[x] which has a as a root.
Graphical Probability and Graphical Cumulative Probability. A fair coin is tossed 10 times. Let X be the number of tails observed.
Clarification of Probability Distribution. Determine whether each of the distributions given below represents a probability distribution. Justify your answer.
What was the smallest possible number of people? What are all possible numbers of people?
For this assignment you will be required to do some work that will not be included in the discussion. First, you need to graph your functions so you can clearly describe the graphs in your discussion. Your graph itself is not required in your post, a..
Using the given data and chart, find the coefficients a, b, and c of the exponential model algebraically.
A function of two variables f(x,y) is integrated over the square [0,2] x [-1,1]. ex: integral from 0 to 2 , integral from -1 to 1 f(x,y) dx dy. (I wanted to input integral symbols there but didn't know how).
Show that the following family is not complete by finding at least one nonzero function u(x) such that E[u(X)]=0, for all theta >0.
Probability : Percentage of Defective Chips and Normal Distribution, A student needs 12 chips of a certain type to build a circuit. It is known that 5% of these chips are defective.
Show that if f:A->R is Lipschitz then it is uniformly continuous on A. Is the converse statement true? Are all uniformly continuous functions necessarily Lipschitz?
What does the graph look like- describe the x placement. What is the graph function called? Give an example of a number you could place in for the variable x, and describe the shift from the original graph. Remember to note what your value you are..
what is the union of sets x and y b. what is the intersection of sets x and y c. create your own set z that is a subset of x
Poker, in the deck 52 cards, hand of 5 cards, one of the winning hands is flush, all cards belong to a common suit. A) Calculate the number of possible combinations of poker hands B) Calculate a probabilty of flush
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