VWICIICSS S statement? 10. To show how various factors influence probability, here are variations of Example 7 on HIV testing. a. Suppose that the population is 30,000 rather than 10,000, with the same test accuracy (98%)) and percent of HIV incidence the same (0.5%). What is the probability that a person who tests positive does have the HIV virus? b. Suppose there is a new test for the HIV virus that is 99% accurate (rather than the 98% in Example 7). Use a population of 20,000 but still with an HIV incidence of 0.5%. What is the probability that a person who tests positive does have the HIV virus? c. Suppose that the incidence of the HIV virus in one population is 3% (rather than the 0.5% of Example 7). Use a population of 10,000 and a test accuracy of 98%. What is the probability that a person who tests positive does have the HIV virus?
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.
![CVCItJ 21 und D, 51VO3 the 1 (1|D)
P(A) Pelationship discussed in this section.
b. If A and B are independent, is P(A|B) = P(B|A)?
9. A cab was involved in a hit-and-run accident at night. Two cab companies, Blue Cab and
Green Cab, together own 1000 of the cabs in the city. Of these cabs, 85% are Green and
15% are Blue. A witness said that the cab in the accident was a Blue Cab. The witness was
tested in similar conditions and made a correct identification 80% of the time. What is the
probability that the cab in the accident was a Blue Cab, given the witness's statement?
10. To show how various factors influence probability, here are variations of Example 7
on HIV testing.
a. Suppose that the population is 30,000 rather than 10,000, with the same test
accuracy (98%.) and percent of HIV incidence the same (0.5%). What is the
probability that a person who tests positive does have the HIV virus?
b. Suppose there is a new test for the HIV virus that is 99% accurate (rather than the 98%
in Example 7). Use a population of 20,000 but still with an HIV incidence of 0.5%.
What is the probability that a person who tests positive does have the HIV virus?
c. Suppose that the incidence of the HIV virus in one population is 3% (rather than
the 0.5% of Example 7). Use a population of 10,000 and a test accuracy of 98%.
What is the probability that a person who tests positive does have the HIV virus?
11. In a polling of 400 parents, 20% had a high income. Fifty high-income parents oppose
school vouchers. Vouchers are supported by 160 low-income parents.
a. Complete the table, using the data above:
High-income
Low-income
Totals
Support vouchers](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d37575e-d91e-4e9c-a836-a1c78136f9a1%2Fbe799676-1c08-485e-a08e-1ad5b0d24a0c%2Fcre3rn_processed.jpeg&w=3840&q=75)
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