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Question: Suppose that we have two everts. A and B, with P(A) = 50. P(B) = .60, and P(A ∪ B) = .40.
a. Find PO I B).
b. Find P(B I A).
c. Are A and B independent? Why or why not?
Engineering Mathematics, Engineering
Numerical Analysis Assignment - Q1. Define the following terms: (i) Truncation error (ii) Round-off error Q2. Show that if f(x) = logx, then the condition number, c(x) = |1/logx|. Hence show that log x is ill-conditioned ...
Question : Suppose that G is a directed graph. In class we discussed an algorithm that will determine whether a given vertex can reach every other vertex in the graph (this is the 1-to-many reachability problem). Conside ...
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Question 1 - Many spas, many components Consider 4 types of spa tub: Aqua-Spa (or FirstSpa, or P1), Hydro-Lux (or SecondSpa, or P2), ThirdSpa (or P3) and FourthSpa (or P4), with the production of products P1, ..., P4 in ...
Assignment - 1. Let (T, ∧, ∨,', 0, 1) be a Boolean Algebra. Define ∗ : T × T → T and o : T × T → T as follows: x ∗ y := (x ∨ y)' x o y := (x ∧ y)' (a) Show, using the laws of Boolean Algebra, how to define x ∗ y using on ...
ANALYTICAL METHODS FOR ENGINEERS ASSIGNMENT - CALCULUS This assignment assesses Outcome - Analyse and model engineering situations and solve problems using calculus. Questions - Q1. Differentiate the following functions ...
Question : Suppose G is an undirected, connected, weighted graph such that the edges in G have distinct edge weights. Show that the minimum spanning tree for G is unique.
Question : (a) Suppose that you are given an instance of the MST problem on a graph G, with edge weights that are all positive and distinct. Let T be the minimum spanning tree for G returned by Kruskal's algorithm. Now s ...
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