Given the following equations, draw the simple Venn Diagram to match the equation.
b) There are three events: A, B and C
A = { 1, 2, 3, 4 }
B = { 2, 4, 6, 8 }
C = { 10, 12 }
Draw ( A ∩ B) C
c) There are three events: A, B and C – same as in part b. Draw (B C)′ Note: apostrophe is complement.
d) There are three events: A, B and C – same as in part b. Draw ( B C)'
e) There are three events: A, B and C – same as in part b. Draw A B C
Given the following equations, draw the simple Venn Diagram to match the equation. b) There are...
4) Given the following equations, draw the simple Venn Diagram to match the equation. a) There are two independent events: A and B. Draw ?′ b) There are three events: A, B and C. A = { 1, 2, 3, 4 } B = { 2, 4, 6, 8 } C = { 10, 12 } Draw ( ? ∩? )∪? c) There are three events: A, B and C – same as in part b. Draw ( ? ∪?...
Refer to the Venn Diagram to determine ("Probability of event B given C complement"). Give your answer to three decimal places. We were unable to transcribe this image0.24 0.19 0.06 0.04 0.16 0.11 0.09 0.11
Given the following Venn diagram, find n[ ( AcB)c ]. 11 | 26 17 We were unable to transcribe this image
3 (b) Write the following systems of linear equations as matrix equation and then as an augmented matrix: (4marks) (d) Use Cramer’s rule to solve the system of 2 linear equations in 3(b). (7marks) We were unable to transcribe this imageWe were unable to transcribe this image
Pendulum. We discussed in class the equation of motion for the simple pendulum: . Here m is the mass of the bob, is the length of the arm, and is the acceleration of gravity, and is the angle of the arm from away from the vertical. The total energy of the pendulum is a sum of the kinetic and potential terms: a. Draw a picture of the pendulum that shows all of the parameters. b. Show that the equation...
Let A, B be events such that P(A) = 1/3 , P(B) = 1/4 , and P(AB) = 1/6. Find the following and write in words what events a)-d). Example: AB' means that either A occurs or B does not occur. HINT: draw a diagram. a) P(A' B') b) P(A' B) c) P(A' u B) d) P(A' B') We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to...
Let A be the arc length of the curve on the given interval: Let B be the slope of the graph of the parametric equations and when Let C be the r-coordinate of the two points of horizontal tangency to the polar equation Evaluate: A + B + C as a simplified fraction. We were unable to transcribe this imageTE We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
For the given set of equations, Draw an all-integrator block diagram for equation (2), a. b. Starting with the all-integrator block diagram from Part (a), incorporate equation (1) into an all-integrator block diagram that consists of two integrators, Using the block diagram from Part (b), create an all-integrator block diagram that relates C. u(t), x (t), and x2(t) with y(t), where y(t) obeys the linear relationship in equation (3) d. Use the block diagram from Part (c) to find the...
Id=5, 4. in problems 4 and 5 draw a venn diagram and shade the given set. Draw a Venn diagram for each set. (12-points) a. BU(B - A) А ) b. (AUB) - B A B
(Must draw out the Venn Diagram and show all work for full credit.) Suppose that A, B, and C are events such that PA-PB0.3, PC 0.55, PIAnB For each of the events given below in parts (a)-(d), do the following: (i) Write a set expression for the event. (Note that there are multiple ways to write this in many cases.) (ii) Evaluate the probability of the event. Hint: Draw the Venn Diagram. You may then want to identify the probabilities...