Sample S xb My Solutions bartleby + ontent/2743493/View Problem 1. Define the sample space of each of the following random experiments. (a) A voter enters a voting booth to vote for one of four presidential candidates, A, B, C, D (b) A biologist tests an oak tree in the field for the presence of rot. (c) Three routers are tested to see if they're functioning or failed. (d) The number of arrivals to a music festival is counted (e) The number of diseased oak trees in a grove of 10 is counted. Problem 2. Suppose out oft 50 tables in a restaurant, 35 with his/her entree, 25 have a person who ordered salad with his/her entree, and 10 have ordered both. have a person who ordered soup (a) How many tables will have neither a soup nor a salad delivered to them? (b) How many tables will only have a salad delivered? (c) What is the probability thát a table will have a soup or a salad delivered? (d) What is the probability that a table will not have a soup (e) Are the events "soup ally exclusive? Are they independent? Justify your answers. delivered? delivered to the table" and "salad delivered to the table" mutu- Problem 3. Suppose the BART train system in California has 5 backup generators in use in the North Bay Area for when PG&E cuts power, Fach one of them has a probability o.99 of functioning when tuurned on. You may assume independence ol the generators (a) What is the probability that none of the generators will work? (b) It we require the use ot 2 generators to provide enough power fer the day, what is the probability we will not be able to provide that poswer? Problem 4. Suppose that the probability a farm in Wiseonsin raises dairy cattle is o.4, the probability it grows corn is o.6, and the probability that 1 raises/rows both catle and corn is o.2. Given that a farm is growing corn, vwhat s the pioability it also raises cattle? Problem 5. Suppose vou will keep parking on campus illegally until wou get vour 3rd parking ticket. The probability of getting a parking ticket or any articular day is e.4, and the days can be assumed to be independent. What is the probability vou will have parked for 15 days before you got your third ticket? Problem 6. 1 ind the probahilty under thestandard nsal curse o caclh of he follow Aus Date 14 Nov 1e e r
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.
Can you do problem 2? Answers a, b, c, d, e
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