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A person has 14 close friends.
(a) Suppose that two of her friends (of the 14 of either gender) do not like each other. If one of the two is invited, the other will not come to the party. How many ways are there to invite 8 people to the party. Explain.
(b) Suppose that two of her friends are a couple. She cannot invite one of the 2 without inviting the other. How many ways are there to invite 8 people to the party. Explain.
In one residence, cell phones, lap top computers and digital tvs are very popular among students. In fact, all of the students own atleast one of these items, although onlu 15 own all 3.
Write the statement in symbolic form (Let p: The tent is pitched. q: The bonfire is burning. #40, The bonfire is not burning, however the tent is pitched.
Description of Probabilities, A survey of MBA students obtained the following data on "student's first reason for application to the school in which they matriculated".
Which pair has equally likely outcomes? List the letters of the two choices below which have equal probabilities of success, separated by a comma.
Nilpotent transformation, Consider the transformation N: V->V. Let g be a vector such that N^k-1 does not equal 0, but N^k = 0. First show that the vectors g,N(g),N^2(g),..,N^k-1(g) are linearly independent
Biased Bernoulli Process, Suppose that two teams that meet in the world series are closely matched: the better team wins a given game with a probability of .55
Explain how regression and analysis can be used to test a Survey?
Justify the conclusion by describing the relevant information from the output.
How are the vertex and axis of symmetry related on a parabola? Please explain with the help of an example.
Use the point-slope form of the linear equation to find an equation of the line with the given slope and passing through the given point. Then write the equation in standard form.
The equation of tangent line.
Prove using mathematical induction.
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