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Suppose that P (AB) = 4, P (A | B9 = d, and P (B) = 1. Calculate P(A)? Psa o - 100 3b. de
22. Suppose that (ab, p)- 1 and that p> 2. Show that the number of solutions (x, y) of the congruence ax2 + by 1 (mod p) is -ab 22. Suppose that (ab, p)- 1 and that p> 2. Show that the number of solutions (x, y) of the congruence ax2 + by 1 (mod p) is -ab
Suppose that the events A, B and C are mutually independent with P(A)=1 /2, P(B)=1/3 and P(C)=1/4. Compute P(AB U C). Note: the answer is 3/8. Show the steps to get to the final answer.
2) Suppose A and B are independent events, then) is incorrect. A P(AB) P(A) ( PCA n B) = P(A)P(B) P(AIB) = P(A) ⓑ P(A u B)-P(A) + P(8)
2.16 Suppose that P(A) = 0.4, P(B) = 0.5 and P(AB) = 0.2. Find the following: a) P(AUB) b) P(A'B) e) PIA'(AUB) d) PIAU(A'B)
exclusives 2.48 Answer the following questions. Suppose P(AB) = 0.6, P(ABC) = 0.4, and P(A) = 0.5. What is P(B)? a.
Question 69 1 pts Suppose C - 170 +0.60YD, I = 100 - 4i, Md = 0.75Y - 6i, MS - 735, P-1, T - 200, G = 350. The equation for equilibrium in the financial markets: Y = 1250 - 101. Y = 1250 + Bi. Y = 980 + Bi. Y = 1250 + 101. OY-980 - 8i.
5. If P(AB)-1, show that P(B (i) P(A n B n C) (ii) P(C|A B)-P(CB); and n C) for any event C (iii) P(A n CB) P(CB).
I want help to solve this question (4) (a) Suppose that P(A) = P(B) = ? and that P(A|B) = P(B). Calculate P( AB') (b) Suppose that P(ANB) = , P(A|B') = and P(B) = . Calculate P(A) (c) Let A and B be events such that P(A) = if BCA and P(B']A) = Calculate P(B)
Suppose A,B, and C are events such that: P(A)=P(B)=P(C)=0.3, P ( A ) = P ( B ) = P ( C ) = 0.3 , P(AB)=3P(ABC), P ( A & B ) = 3 P ( A & B & C ) , P(A∪C)=P(B∪C)=0.5, P ( A ∪ C ) = P ( B ∪ C ) = 0.5 , and P(AcBcCc)=0.48. P ( A c & B...