The table below shows the results of a survey that asked 410 people whether they are involved any type of charity work. A person is selected at random from the sample. Complete parts (a) through (d). (SEND ME YOUR WORK FOR THE WHOLE PROBLEM) Frequently 40 Occasionally Rarely Total Male Female Total 70 80 190 60 100 110 50 220 410 180 130 (a) Find the probability that the person is female or occasionally involved in charity work. P(being female or being occasionally involved) =O (Round to the nearest thousandth as needed.) (b) Find the probability that the person is not occasionally involved in charity work. P(not being occasionally involved) =O (Round to the nearest thousandth as needed.) (c) Find the probability that the person is male given that the person is rarely involved in charity work. P(being male given that being rarely involved in charity work) =O (Round to the nearest thousandth as needed.) charity work. (d) Find the probability that the person is male or not frequently involved P(being male or not being frequently involved) =O (Round to the nearest thousandth as needed.)
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.
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