Assume that events A and B are independent, and C ⊂ A, and C ⊂ B. Moreover, P(A) = 1/2, P(B) = 2/3, and P(C) = 1/6. (Q13) P(A and B, but not C) is (A) 1/3, (B) 1/6, (C) 0, (D) none of the answers given on the left (Q14) P(exactly two of A, B, C occur) is (A) 1/3, (B) 1/6, (C) 0, (D) none of the answers given on the left (Q15) The conditional probability of A or C occur given that B occurs is equal to (A) 1/3, (B) 1/6, (C) 1/2, (D) none

Q: if you flip a fair coin 8 times and the X is the number of times the coin came up " heads", what is…

A: According to the provided information, a fair coin tossed 8 times.  The possible outcome of a fair…

Q: Q1: Let A [1 2 3;4 5 6;7 and B-19 8 7 6 5 4 3 2 1 C=[1 2 3; 4 5 6;7 8 9] Find A-4 B-3C ?

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Q: (10) + 2(11)¹ (10)8 + 3(11)²(10)7 + ... + 10(11)⁹ = k (10)⁹ then k= ?

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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: If P(A) = 0.29 , P(B) = 0.32,  P(A | B) = 0.38 then P(A ∩  B) =

A: Bayes' theorem can be used to compute conditional probabilities and isexpressed as P(A|B)…

Q: if P(A and B)=P(A)*P(B) then P(A and B) cannot equal P(A)+P(B) True or False

A: It is given that  P(A and B) = P(A)*P(B)

Q: A simple linear regression that describes the effect of individuals’ cigarette smoking on health is…

A: Introduction: The regression coefficient depends on the change of scale of the response, as well as…

Q: 1. Suppose P(A) = 4/10, P(B) = 5/10, and P(AB) = 2/10. (a) Compute P(AC). (b) Compute P(AUB). (c)…

A: As per our guidelines we are suppose to answer only three sub parts.…

Q: If B C A, then (i) P(AB)=P(A) - P(B), (ii) P(B) ≤ P(A)

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Q: f P(A) = 0.18, P(B) = 0.35 and P(A ∩ B) = 0.07, find the following: a. P(A ∪ B) b. P(A\B) c. P…

A: Given that  P(A) = 0.18,  ;  P(B) = 0.35  ; P(A ∩ B) = 0.07 ;    We know that By addition theorem…

Q: If S = {a, b, c} with P(a) = 4P(b) = 3P(c), find P(a).

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Q: Find out the following: If A = {1,2}, then |p(p(A × p(A)))| = ?

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

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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: You are given these facts: p(A | B) = 5/11. p(B) = 11/16. p(A) = 4/16. What is p(AB)? 15/32 5/12…

A: According to the given information in this question We need to find the following probability

Q: hat p (A) =0.3 and P (B) = 0.2 find P (A or B) given that (a) A and B are mutually exclusive, (b) A…

A: p (A) =0.3 and P (B) = 0.2  (a) A and B are mutually exclusive P (A or B) = P(A) + P(B)…

Q: If you flip a fair coin 12 times and X is the number of times the coin came up "Heads", what is P(X…

A: From the provided information, A fair coin flipped 12 times that is n = 12 Probability of occurring…

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

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Q: A researcher wanted to estimate the difference between the percentages of users of two tooth- pastes…

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Q: A researcher wanted to estimate the difference between the percentages of users of two tooth- pastes…

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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 S = {a, b, c} with P(a) = 8P(b) = 5P(c), find P(a).

A: Total probability:If a sample space contains mutually exclusive and exhaustive events, then the sum…

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: Suppose that P(A) = 0.12, P(B) = 0.40 and P(B|A) = 0.60. (a) What is P(A and B)? (b) What is P(A…

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Q: If P(A) = 3/4 and P(B) = 5/6, then P(A and B) = а. %3D

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Q: if P(A) = 0.65, P(B) = 0.8, P(AN B) = 0.55 Then, P(B | A) is Select one: a. 55 80 b. 55 65 C. 65 80…

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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: P=1+3 xy 0, 24. It is known that the possible values of P are (1) - 4 (2) 0 (3) 2 (4) 7 If (A): (1);…

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Q: if ACB, P(A)=1/4, and P(B)=1/3, find P(A/B) and P(BA)

A: Given A⊂B  P(A)=1/4, P(B)=1/3

Q: If P(A) = 0.29 , P(B) = 0.32,  P(B | A) = 0.42 then P(A ∩  B) =

A: GivenP(A)=0.29P(B)=0.32PB/A=0.42