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Let G be an undirected graph, and let T be the spanning tree genereted by a depth-first search of G. Prove that an edge of G that has no corresponding edge in T cannot join nodes in differect branches of the tree, but must necessarily join some node v to one of its ancestors in T.
Show the mass as triple integral and solve the integral using spherical polar coordinate and Use the spherical coordinate integral to evaluate
Find the predictive value of a positive test.
Cubic Splines: Natural and Clamped, Calculate the natural cubic spline f(x) for the following data and then determine 1(1.5). (Use 3 significant digits.)
Probability for Poisson Random Variable, During summer weekdays, boats arrive at the inlet drawbridge according to the Poisson distribution at a rate of 3 per hour
Probability of payment before creation of credit policy, Mucklehoney Sports operates a mail-order running shoe business.
Academic response to Binomial Distribution, Historical data shows 15% of the customers entering a store make a purchase. There are 50 customers in the store at the moment.
A stack of 12 papers contains three "A" papers. If three papers are selected, what is the probability
Probability using Bayes theorem. An oil executive has determined that the probability that this oil field contains oil is 0.6. Before starting the drilling she decides to order a seismological test to see if there is oil in the ground.
Three-person Problem of Points
Statistics or Probability re Jukebox Scenario, On a Jukebox with 2000 songs, what is the probability that a single song will play during a 1 hour period, a 3 hour period
Probability - birthday, What is the probability that at least 2 of the 435 members of the House of Representatives have the same birthday
Let G be a simple graph with no isolated vertex and no induced subgraph with exactly two edges. Prove that G is a complete graph. (Please read carefully the definition of an induced subgraph before you attempt to solve it!).
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