If P (B) = 1/4, P (A ∪ B) = 1/2 and P (A|B) = 2/3, then which of the following statements is true? A) P (A) = 1/3 B) P (A ∩ B) = 1/12 C) P (B|A) = 1/5 D) A and B are not independent.

Q: If n(A ∪ B) = 60, n(A ∩ B) = 40, and n(A) = n(B),find n(A).

A: Givenn(A∪B)=60n(A∩B)=40n(A)=n(B)To find n(A)

Q: 5. A norm al distribution has a mean of 26 and a standard deviation ốf 4. What Is the probability…

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Q: If n(A) = 12, n(A ∪ B) = 30, and n(A ∩ B) = 6, find n(B).

A:

Q: Let n EU = Z and p(n): n² + n is an even integer. a. Write the following statement: (Vn) p(n). b. Is…

A: (a) Here, the given statement is: For ∀n∈U=ℤ, p(n):n2+n is an even integer.

Q: If n(A) = 2, n(B) = 5, and n(A ∪ B) = 7, find n(A ∩ B).

A:

Q: In general, b O True O False m n = m n b

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Q: Determine O a. O b. dy d. (4r+3) (4r² +6r+3) r(r+1)(r+2) (4r+3) (4r²+6r+3) r(r+1)(r+2) r(r+1)(r+2)…

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Q: Let a (1) b=(1 1 1), A= Determine each of the following: A (a) a (b) A b (c) 12 ⓇA (d) A 12 (e) AⓇA…

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

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Q: Consider the sentences Vx3yP(x, y) and 3yVxP(x, y). Are these sentences true or false under the…

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Q: If n(A U B) = 21, n(A n B) = 16, and n(B) = 19, find n(A). n(A) =

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Q: Given any real numbers a and d, consider the expression (a + md) + (a + (m + 1)d) + (a + (m + 2)d) +…

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Q: If n(A ∪ B) = 97 and n(A) = n(B) = 66 find n(A ∩ B).

A: Given, n(A ∪ B) = 97 and n(A) = n(B) = 66

Q: b) -5 Y 5 4 3 2 + -4 -3 -2 -1 -] -5+ 2 3 4 5 व

A: A graph of the function is given.We have to find the equation of the graph.

Q: 2. |a + ib|= √a² + b² O True O false

A: This question is based on modulus of complex number.

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 P( A U B) = 0.5 , P (B) = 0.2, P (A)=0.4 then || P(B|A) Is?

A: GivenP(A∪B)=0.5P(B)=0.2P(A)=0.4

Q: If n(A) =130, n(B) =135, and n(A ∪ B) =250, what is n(A ∩ B)?

A: According to the given information in this questionWe are going to find n(A and B)

Q: I believe 2f is wrong, suppose to prove that it is a false (per the question) and provide counter…

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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: Let v = Find [-13]; ®= { [4]· [H] }; × = {[3]· B]}-· B C a. [v]: b. [v]: c. [B]: d. [B][v]: e. Are…

A: (.) Given,(.) Coordinate vector:  Let  be a basis of a vector space . Then coordinate vector of…

Q: Let X be the number of 7’s that we get in 10 rolls of a pair of balanced dice. (the probability of…

A: Total rolls, n= 10 And given that probability of getting 7 is 1/6  p=(1/6) We know that q= 1-p = 1-…

Q: -(A VB) -AV-B (A v B) ^ (AVD) :. A V (BAD) (A → B) ^ (CD) (AB) A (-D¬C) Choose.... Choose....…

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Q: Q7) Calculate AC. BC and (A + B)C. Also, verify that (A + B)C=AC + BC 0 6 7 [0 1 1] If A = -6 0 8,B=…

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Q: Q6) Show that if P(AU B) C P(A)U P(B) then either A C BV BCA. Justify your answer.

A: The solution are next step

Q: 11 C6 is equal to O 11! 11!x (11-6)! 11! x 6!

A: given data, we have to find out the 11C6 for the given dataformula for the combination is :…

Q: If n ( A ) = 25 , n ( B ) = 40 , a n d n ( A ∪ B ) = 55 ,what is n ( A ∩ B ) ?

A: Consider the given information nA=25,nB=40and nA∪B=55