42. Consider two disjolan (or mutually clusive) evente A nd B. II P(A) - 0.7 and P(B) = 0.2, ind P(AU).
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 #42 , #43 and #44
![ple pare fe is perir (The orde in which the eouple ha ildm do matter to
DA fmily wts to hae t ddr The chd can bee ale or mal What is the
Let the mplepace S ofa nompert be the besi thegh S S-
(1,234.5.6.T.80). De eete A B d Ca f
7.5 Topie f: Probability
the pa )
A (12AATA
(a) What outeom are the et An
(b) What outemes are in the evet BUCT
le) What outem are ln the event C
(a) Are the evente An and BnA the ame Wle?
(e) Are the events BUC ad CUBthe se? Why
A survy of 100 male studenta and ton sale atuderts regading thir favorite Mexiran food
restaurant yielded the ute gven belw.
Gender Chipotle Moe's Salaritas Q'doba
Mae
Female
38
35
20
13
40
30
17
(a) What is the probability that a repondent i male?
(b) What is the probability that a rpondeat s Qdobe
(e) What is the probability that a repondent lis Salaritas and is emale?
(d) What is the peobability that a respondent likes Salsaritas or is female?
42. Consider two disjolun (or mutually enclusive) evente A and B. II P(A) - 0.7 and P(B) = 0.2,
find P(AUB).
43. Consider two disjolat (or mutually excluive) vents A and B with P(A) - 0.7 and P(B) -0.4.
Are these probabilities correctly esigned? (Hint: Caleulate P(AUB).)
44. Suppose P(A) = 0.60 and P(B) = 0.7. Can events A, B be disjoint?
45. It is estimated that 63% of Americans will watch the Masters golf tournament and only 48% will
watch the British Open. If it is estimated that 37% of Americans will watch both tournaments,
what is the probablity that they will watch at least one of the golf tournaments?
46. Consider drawing two cards from a regular deck of cards (52 cards total, 4 suits, 13 cards in each
suit). What is the probability that you draw two Aces if the cards are drawn
(a) With replacement?
(b) Without repilacement?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F33f4b708-80c2-4c0d-a6e9-141028254d13%2F992d8262-1ec2-4ccd-9b2f-a27dd9340b99%2Fmqvsxoa_processed.png&w=3840&q=75)
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