Given that p(A)=.31, p(B│A) =.39, and p(A│B) =.31, are A and B (a) independent? (b) exclusive?

Q: Given that p(B│A) =.54, p(A│B) =.35, and p(B) =.48, find p(A).

A: Answer: - Given that p(B│A) =.54, p(A│B) =.35, and p(B) =.48.                Find p(A).

Q: f ​P(E)=0.60​, ​P(E or ​F)=0.65​, and​ P(E and ​F)=0.10​, find​ P(F).

A: Let E and F are two events. The known probabilities are, ​P(E)=0.60​, ​P(E or ​F)=0.65​, P(E and…

Q: Given P(A) = 0.2, P(B) = 0.7, P(A | B) = 0.5, do the following: (a) Compute P(A and B). (b)…

A:

Q: こ= (t)} () て= () %3D - (^),J %3D てんn ZトXC

A: →∫eax+bdx = eax+ba + C, where 'C' is the constant of integration.→∫xndx = xn+1n+1 + C

Q: Given P(A)=0.4P(A)=0.4, P(B)=0.66P(B)=0.66 andand P(A∩ B)=0.374P(A∩B)=0.374,  find the value of P(A…

A: Probability is the measurement of event occurrence. It take values positive value and does not…

Q: In each part, use the given information to find A. (7A)-1 (b) (7A) -3 [] -2 = (d) (/+2A)-! = 2 4 5

A:

Q: Suppose P(B)=0.22, P(A and B)=0.125, and A and B are independent. Find P(Ac) Select one: A. 0.57 B.…

A: Given Information:PB=0.22PA and B=0.125A and B are independent.To find PAc

Q: P(A)=0.39P(A)=0.39, P(B)=0.36P(B)=0.36 and P(AandB)=0.25P(AandB)=0.25.P(B∣notA)=

A: It is given that, P(A)=0.39, P(B)=0.36 and P(A and B)=0.25.Let AC be the complement od the event A.…

Q: 6. If q p² p³ - 1 9² p2 µ³ – 1 1 = 0, show that pqr = 1. - 22

A:

Q: If P(A) = 0-4 , P(B) = 0.7 and P (at leasr one of A and B) = 0.8, find P(only one of A and B). %3D

A: Given that  P(A)=0.4 , P(B)=0.7 P(at least one of A and B)=0.8=P(A U B)  Find P(only one of A and B)

Q: Determine £1¹{F}. sF(s)-3F(s) = 2s +5 2 s² + 6s+9

A: Given  sF(s)-3F(s)=2s+5s2+6s+9⇒(s-3)F(s)=2s+5(s+3)2⇒F(s)=2s+5(s+3)2(s-3)Take Inverse Laplace…

Q: Given P(A) = 0.3 and P(B) = 0.4; if P(A and B) = 0.1, compute P(A or B)

A: From the provided information, P (A) = 0.3, P (B) = 0.4 and P (A and B) = 0.1

Q: (1 2 3 a) For a 1) give a321. 3 2

A:

Q: Oproved that 5.ri YzT3= A

A:

Q: If ​P(E)=0.55​, ​P(E or ​F)=0.70​, and​ P(E and ​F)=0.20​, find​ P(F).

A: Given that P(E)=0.55​, ​P(E or ​F)=0.70​, P(E and ​F)=0.20​ The formula of addition of two events…

Q: given that P(A or B) = 1/5 P(A) = 1/8 P(A and B) = 1/9 find P(B)

A: Using the basic formula of probability for mutually exclusive events: P(A or B) = P(A) + P(B) - P (A…

Q: P(E)=0.60​, ​P(E or ​F)=0.85​, and​ P(E and ​F)=0.05​, find​ P(F).

A: Given : P(E)=0.60​ ​P(E or ​F)=0.85​ P(E and F)=0.05​

Q: given that P(A or B) = 1/3, P(A) = 1/7, and P(A and B) = 1/8, find P(B) a. 101/168 b. 159/168 c.…

A: Concept of General Addition Rule: For any two events A and B the General Addition Rule states that:\

Q: If n(A) = 44, n(B) = 19, and n(A n B) = 9, find n(AU B). %3D %3D

A: Solution

Q: Evaluate S eas cos?(y s) ds. V2

A:

Q: Composition and Inverses of Functions Suppose f(x) following. = 2x, g(x) = 3x - 2, and h(x) = x² –…

A:

Q: If P(A)= 0.2, P(B)= 0.32 Calculate P(A and B)?

A: Answer:- Given, P(A) = 0.2  And P(B) = 0.32  Using formula,  According to the given information we…

Q: If RS = 32.5 and QS = 65.8, find QR. %3D R

A:

Q: P(A)=1/5 P(b)=7/20 P(A and B)=? P(A)=1/4 P(B)=3/5 P(A and B)=?

A:

Q: Given that p(A)=.8, p(B)=.7, and p(B│A)=.75, find p(A│B).

A:

Q: Use the following matrices and find an elementary matrix E that satisfies the stated equation. =( A…

A: The given matrices are:

Q: b. 23x-2 = 16% d. (V3)* = 92x+5 %3D

A:

Q: P(A)=0.68P(A)=0.68, P(B)=0.22P(B)=0.22 and P(AandB)=0.10P(AandB)=0.10. P(notB∣notA)=

A:

Q: Given that p(B│A) =.75 and p(A B) =.28, find p(A).

A: GivenP(B|A)=0.75P(A∩B)=0.28

Q: 2y is equal to V27x O True O False

A:

Q: P(A or B)=1/5+2/3-1/3

A: Answer

Q: P(AC)=0.55, P(B)=0.35, P(ANB)=0.25 (1) Find: P(ABC), P(A\BC), P(BC\AC) (ii) Are A and B independent…

A: We have given that, PAc=0.55 PB=0.35 PA∩B=0.25

Q: If P(E) = 0.60, P(E or F) = 0.75, and P(E and F) = 0.10, find P(F). P(F) = (Simplify your answer.)

A: