For mutually exclusive events R₁, R₂, and R3, we have P(R₁) = 0.05, P(R₂) = 0.3, and P(R3) = 0.65. Also, P(Q|R₁) = 0.6, P (Q | R₂) = 0.5, and P P (Q | R₂) = = 0.4. Find P (R3 | Q). P(R31Q) = (Type an integer or a simplified fraction.)

Q: Find P(A U B), given that P(A) = 0.5. P(B) = 0.4, and A and B are mutually exclusive. 0.8 0.7 0.9…

A: We have given that P(A) = 0.5 P(B) = 0.4 Also, given that A and B are mutually exclusive

Q: a)     If P(A) = 0.50, P(B) = 0.60 and the P(A| B)= 0.4, then find the P (A U B)                i.…

A: Given,P(A)=0.50P(B)=0.60P(A|B)=0.4

Q: Suppose ℙ(?1|?2)=0.46P(E1|E2)=0.46, ℙ(?2|?1)=0.92P(E2|E1)=0.92, and ℙ(?1)×ℙ(?2)=P(E1)×P(E2)=0.24.…

A: * SOLUTION :-  From the given information the calculation is given as follows

Q: Given that p(A)=.55, p(B)=.35, and p(A| B)=.85, find p(A and B).

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Suppose that x is N(15,4). Find the P(X>11).

A: The random variable X follows normal distribution. The population mean is 15. The population…

Q: If S = {a, b, c} with P(a) = 8P(b) = 2P(c), find P(a).

A:

Q: If S= {a,b,c} with P(a)= 2P(b)= 4 P(c), find P(a)

A:

Q: Given: • P(A) = P(B) = P(C) = P(D) = k. • A and Care mutually exclusive • B and D are mutually…

A:

Q: Given P(A) = 0.20, P(B) = 0.25, and P(B|A) = 0.25, are A and B independent or dependent?

A: PA=0.20, PB=0.25 and PB|A=0.25

Q: If P(A) = 0.73, P(A U B) = 0.88, and P(A n B) = 0.58, find P(B). O 0.15 0.26 0.58 0.73

A: P(A)=0.73P(AB)=0.88P(AB)=0.58

Q: If P(T>2.66)=0.06 and P(T<−2.66)=0.06​, obtain P(−2.66≤T≤2.66).

A: Given Information: P(T&gt;2.66)=0.06 P(T&lt;−2.66)=0.06​, To obtain P(−2.66≤T≤2.66):…

Q: The probability distribution of the random variable X is shown in the accompanying table. -5 -3 -2 2…

A: Given data is x -5 -3 -2 0 2 3 P(X=x) 0.16 0.12 0.31 0.17 0.14 0.10

Q: If P(A) = 0.1, then (Ã) = 0.8 %3D True or False

A: let A is given any event then A¯ is complement event of A. given, P(A)=0.1

Q: Suppose P(E1|E2)=0.46P(E1|E2)=0.46, P(E2|E1)=0.92P(E2|E1)=0.92, and P(E1)×P(E2)=P(E1)×P(E2)=0.28.…

A: Conditional probability formula : P(A | B) = P(A n B) / P(B)

Q: If P(A) = 0.4, P(B) = 0.9, \ and P(An B) = 0.3, \ then (a) P(A|B) = \ and (b) P(B|A) =

A: We have to find given probability...

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

A: given data  P(A) = 0.31 P(A|B) = 0.31 P(B|A) = 0.39

Q: A startup has a group of 24 women and 'm' men.Probability of choosing one men among the group is…

A:

Q: Given P(A) = 0.22, P(B) = 0.24, and P(B|A) = 0.21, are A and B independent or dependent?

A: We know,  P(B/A) = P(A∩B)/P(A)     P(A∩B) = P(A) P(B) Events A and B are independent if the equation…

Q: iven P(A) = 0.25, P(B) = 0.28, and P(B|A) = 0.28, are A and B independent or dependent?

A:

Q: Given P(A) = 0.21, P(B) = 0.24, and P(B|A) = 0.24, are A and B independent or dependent?

A:

Q: 6. Given that P(A) =0.2, P(A and B) = 0.1 and P(A or B) = 0.6,

A: P(A)=0.2, P(A and B)=0.1 annd P(A or B)=0.6

Q: If x is N(0,2) find (a) P{1£x£2} and (b) P{1£x£2x³1}

A: Given that,  X~ N(0,2)  Where, mean of x= 0  Standard deviation of x= 2 We know that, z-score=…

Q: Given P(A) = 0.27, P(B) = 0.27, and P(B|A) = 0.21, are A and B independent or dependent?

A: Events A and B are said to be independent if P(A∩B)=P(A)·P(B) Given:  P(A) = 0.27, P(B) = 0.27, and…

Q: 4 men and 6 women are ranked according to their scores on an exam. Assume that no two scores are…

A: 4 men and 6 women are ranked according to their scores on an exam.All 10! possible rankings are…