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Consider a class of 55 students. The student names are placed in a hat and 3 names are randomly drawn without replacement.
a) If the first person drawn was named the class president, second person drawn was named vice president, and the third person drawn was named secretary how many different results would be possible?
b) If the class of 55 students consisted of 30 women determine the probability that all three students randomly selected were women.
Probability Rules A probability is a number assigned to the occurrence of an event in a sample space. Probability measures must satisfy three rules. If A is an even
Can we solve the Quadratic Equations by completing the square method? if yes explain it.
Define Markov process. Markov process is one in which the future value is independent of the past values, given the current value
1. Let G = (V,E) be a graph for which all nodes have degree 5 and where G is 5-edge is connected. a) Show that the vector x which is indexed by the edges E and for which x e =
Identify the surface for each of the subsequent equations. (a) r = 5 (b) r 2 + z 2 = 100 (c) z = r Solution (a) In two dimensions we are familiar with that this
Find the solution to the following system of equations using substitution:
If the p th term of an AP is q and the q th term is p. P.T its n th term is (p+q-n). Ans: APQ a p = q a q = p a n = ? a + (p-1) d = q a + (q-1) d = p
Describe Segments, Rays, Angles, and Triangles We now define some more basic geometric figures. 1. Segments Definition A segment is the set of two given points and all the
from 0->1: Int sqrt(1-x^2) Solution) I=∫sqrt(1-x 2 )dx = sqrt(1-x 2 )∫dx - ∫{(-2x)/2sqrt(1-x 2 )}∫dx ---->(INTEGRATION BY PARTS) = x√(1-x 2 ) - ∫-x 2 /√(1-x 2 ) Let
cot functions
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