If P(A) = 0.25, P(B) = 0.35, and P(A intersection B) = 0.20 then, P(A union B) =
1. Suppose that P(A) = 0.3, the P(B) = 0.4, and the probability of the intersection of A and B = 0.12, find P(B|A). Write your answer as a decimal. 2.Suppose that P(A) = 0.3, P(B) = 0.4, and the probability of the intersection of A and B = 0.12 find P(A|B). Write your answer as a decimal.
Suppose that P(A) = 0.3, P(B) = 0.4, and the probability of the intersection of A and B = 0.12 find P(A|B). Write your answer as a decimal.
If P(A|B) = 0.4 and P(B) = 0.5, determine the intersection of events A and B. A. 0.20 B. 0.25 C. 0.70 D. 0.90 Will give a thumbs up whoever can answer this correctly.
Suppose S CR3 is the intersection of B(0; 2) and the cylinder {(1, y, z) : y2 + 22 <1}, and that 1 the density of S is given by p(x, y, z) = -2 5. Set up an iterated integral which gives the mass of S (you do not need to evaluate it).
(a) Show that P is closed under union and intersection. That is, show that for all A, B E P AUB,AnBEP (b) Show that NP is closed under union and intersection.
Closure properties of P and NP. (a) Is P closed under union, intersection, concatenation, complement and star? Just answer ”yes” or ”no” for each operation. (b) Is NP closed under union, intersection, concatenation, complement and star? Just answer ”yes” or "no" for each operation.
Q4. Describe the intersection of the following surfaces a) p = 3, and 3, and the surface 90° SO = 135°, 90° 5o = 180°, r = 5. b) y = 1 and the surface, r = 3. c) -2 5 x,y s 2,2 = 2 and the surface, 0 = 90°. d) 0 = 45° and the surface , Q = 270º.
1 point) Suppose that the line l is represented by r(t)- (12+ 2t, 23 +6t, 8 + 2t) and the plane P is represented by 2x + 4y + 52-23. 1. Find the intersection of the line & and the plane P. Write your answer as a point (a, b, c) where a, b, and c are numbers. Answer 2. Find the cosine of the angle 0 between the line l and the normal vector of the plane P Answer:...
4. Consider the plane P represented by the equation 2r + 3y-82 0 (a) Find a basis for P. (b) Find a basis for the intersection of P with XZ- plane. (c) Find the basis for the intersection ofP with Y- axis.