If for two sets A and B, P(A)a, P(B) b, P(An B) ab, find (a) P(AnBc)...
Problem 2. [25 pts) Side AB of the square ABCD is extended to P, A - B - P, so that BP 2 AB. With M the midpoint of DC, BM is drawn meeting AC at Q. PQ meets BC at R. Using Menelaus' theorem find the ratio R. P C M Problem 2. [25 pts) Side AB of the square ABCD is extended to P, A - B - P, so that BP 2 AB. With M the midpoint...
Let A and B be two sets. (a) Show that Ac = (Ac ∩ B) ∪ (Ac ∩ Bc ), Bc = (A ∩ Bc ) ∪ (Ac ∩ Bc ). (b) Show that (A ∩ B) c = (Ac ∩ B) ∪ (Ac ∩ Bc ) ∪ (A ∩ Bc ). (c) Consider rolling a fair six-sided die. Let A be the set of outcomes where the roll is an odd number. Let B be the set of outcomes...
The event is said to be repelled by the event B if P(AB) . P (A), and to be attracted by B if P(AIB) > P(A). Show that (a) if B attracts A, then A attracts B, and Bc repels A (Hint: use the definition of conditional probability) (b) If A attracts B, and B attracts C, does A attract C? (Hint: consider when A and C are disjoint sets).
If A and B are mutually exclusive, with P(A) = 0.33, and P(B) = 0.28, find (a)P(Ac), (b)P(Bc), (c)P(A∪B), (d)P(A∩B), (e)P(Ac∩B), (f)P(Ac|Bc).
450 7 450 A X B If BC has length 7, find the length of AB and AC AB= AC = • Your answers need to be in exact form, do not use decimal approximations. • To enter a number like V3, use sqrt(3).
Prove the following using appropriate methods. 10) a AC + AB + BC = AB + BC + AC b. AC + BC + AB EBC + AB+ AC
solve logic expression and write truth table for both WILUVIIDouo 11 Р a. M=(AB)+(CD) b. P = (AC+BC)(A+C)
Find P(A U (Be UC)9) in each of the following four cases: (a) A, B, and C are disjoint events and P(A) 1/2. (b) P(A)2P(BC)3P(ABC)-1/2 (c) P(A)1/2, P(BC) 1/3, and P(AC)0 (d) PA n (BC UC) 0.7
Consider the following probabilities: P(AC) 0.57, PB = 0.36, and P(A n B) 0.03 a. Find P(A | BC). (Do not round intermediate calculations. Round your answer to 2 decimal places.) P(A | BC) b. Find P(BC | A). (Do not round intermediate calculations. Round your answer to 3 decimal places.) P(BC A) c. Are A and B independent events? Yes because PAI B = PA) Yes because PAN B)0 No because P(A I B)PA). No because PAN B)0
R= ABCDEG decomposition: {AB, BC, ABDE, EG } F = {AB → C, AC → B, AD → E, B → D, BC → A, E → G} Is this lossless or not? Please Draw a table for this, the answer set online told me this is lossy, but when I do the table test, I find it is lossless.