QI: (Hypothetical) In IE total 800 students applied in MSc programs, 200 in IBF, 250 in Economics and 350 in Economics and Finance program. A test of 100 marks was conducted for admission into these degree programs. Note Following information: • marks obtained by Economics students are normally distributed with mean 60 marks and SD 12marks • marks obtained by Economics and Finance students are normally distributed with mean 58 marks and SD 13marks Now answer following questions: How many of the economics students obtained marks between a 35 and 65 Grade "A" is assigned to student who obtained marks 80 or more, how many students of Economies and finance got "A" grade? Suppose in previous MSc IBF class there were 20 students, out of which 5 were foreigners. Suppose 5 students are randomly selected for a group discussion on Islamic and Conventional Banking. What is the probability that a. Exactly three foreigners students are selected b. Less than three foreigners students are selected c. At least three foreigners students are selected d. At most three foreigners students are selected b. 20 and 80 c. 5 and 95 ii. ii.
Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
answer part 2 , 3 , 4 fully.
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