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Q: If P(A) = 0.68, P(A U B) = 0.91, and P(A n B) = 0.35, then P(B) = %3D

A:

Q: Given P(E) = 0.34, P(F) = 0.36, and P(E and F) = 0.17, what is P(E or F)?

A: Solution: From the given information,

Q: following must be true?

A: As per the definition of function if f(a) = f(b) then a must be equal to b.   In given question f(a)…

Q: Given P(A) = 0.28, P(B) = 0.20, and P(B|A) = 0.28, are A and B independent or dependent?

A: Conditions: If A and B are independent events then  Otherwise, A and B are dependent.

Q: Suppose P(A) = 0.5, P(B) = 0.3, and P(A∩B) = 0.15. Find the following:(a) P(A|B) (b) P(B|A)(c) Are A…

A:

Q: Suppose ?:ℝ→ℝ where ?(?) = ⌊? / 2⌋.  a. If ?={?|1≤? ≤6}, find ?(?). b. If ?={3,4,5}, find ?−1(?).

A: Consider the set A=x:1≤x≤6 and B=3,4,5.  The function Fx be x/2 is defined on ℝ→ℝ.

Q: If P(A) = 0.35, P(B) = 0.45 and P(A and B) = 0.25 then P(A |B) is?

A:

Q: I. Find the length of the following sets: 1. e((-0.1,1.5)) 2. P(R) 3. e((-∞,4]) 4. e((4,7) U…

A:

Q: If P(A) = 0.3 and P(B) = 0.6, what is P(A or B) if A and B are independent? 0.72 0.90 0.18 0

A: It is given that P(A) = 0.3 and P(B) =0.6.

Q: If m21 = m22 , which of the following statements is true? m O A A k|li B. n|| m C. E|| k D. ||m

A: Given,

Q: If P(A) + P(B) = 0.9, P(A N B) = P(B nA) = 0.25,Then P(ANB) = 0.4 0.5 0.2 035

A: We have to find correct answer for given question .

Q: Given P(E or F) = 0.78, P(E) = 0.10, and P(E and F) = 0.18, what is P(F)?

A: Given that P(E or F) = 0.78, P(E) = 0.10, and P(E and F)=0.18

Q: Given P(E or F) = 0.12, P(E) = 0.22, and P(F) = 0.18, what is P(E and F)?

A:

Q: Given P(E or F) = 0.55, P(E) = 0.46, and P(E and F) = 0.03, what is P(F)?

A: Given P(E or F) = 0.55, P(E) = 0.46, and P(E and F) = 0.03, what is P(F)?

Q: P(A|B)=0.2, P(A|B')=0.3 ve P(B)=0.8 , P(AUB)=?

A:

Q: Given n(U)=70​, n(A)=29​, n(B)=21​, and n(A ∩ B) =4​,  find (A∪B)'

A:

Q: ", if C C B – A, then ANC=0.

A:

Q: Given: rs Prove: m/3 = m/6 12 34 5/6

A: Here we have to use the properties of parallel lines cut by the transveral line

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: Given P||Q and T is a transversal, which of the following justifies 3 = 26? 1/2 4 3 5/6 P 7 8.

A: Find the theorem

Q: Which of the following are true statements? State why. d. {2} ⊆ {1,2,3} e. {2} ⊆ {{1},{2}} f. {2} ∈…

A: Statements:                       d) {2}⊆{1, 2, 3}                       e) {2}⊆{1, 2}f) {2}∈{1, 2}

Q: Given that P (A) = 0.4, P(B) = 0.3, and P(A ∩ B) = 0.1, 1. P(A∪B) = 2. P(A|B) = 3. P(B|A) =

A: Given: P(A) = 0.4 P (B) = 0.3 P(A ∩ B) = 0.1

Q: Given P(E or F) = 0.18, P(E) = 0.40, and P(F) = 0.46, what is P(E and F)?

A: Solution-: Given: P(E or F)=0.18, P(E)= 0.40, P(F)=0.46  We want to find P(E and F)=?

Q: Given P(E) = 0.23, P(F) = 0.34, and P(E and F) = 0.08, what is P(E or F)

A: P(E) = 0.23, P(F) = 0.34, and P(E and F) = 0.08.

Q: (2n)! Let a, = then 'n n!n* 1 а) а, > e 2 b) а, > e 4 с) а, > c) an e d) а, > о

A: To find -  Let an = 2n!n! nn1n, then ?

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…

A:

Q: Find P(C/A) and P(C) if p(A1) = 0.6 B1 0.8 0.7 C. A1 C2 A 2 0.7 B2 0.8 [Hint: P(C/A) =…

A: Given: pA1=0.6, pA2=1-pA1=1-0.6=0.4 PB2/A2 0.8 PB1/A1 0.8 PC1/B1 0.7 PC2/B2 0.7

Q: If P(A) = 0.80, P(A or B) = 0.70, and P(A and B) = 0.60, then P(B)  a. 0.10  b 0.50  c 0.26 d…

A: ans: GivenP(A) = 0.80P(A or B) = 0.70P(A and B) = 0.60P(B)=?we haveA∪B=x:x∈A or x∈BA∩B=x:x∈A and…

Q: Given P(B) = 0.29, P(A and B) = 0.27, P(A or B) = 0.48, what is P(A)?

A: Given, PB=.29PA and B=PA∩B=.27PA or B=PA∪B=.48 We have, PA∪B=PA+PB-PA∩B⇒   PA=PA∪B+PA∩B-PB…

Q: Given P(E or F) = 0.04, P(E) = 0.43, and P(F) = 0.18, what is P(E and F)

A: Given,P(E or F)=0.04P(E)=0.43P(F)=0.18

Q: Given P(E or F) = 0.04, P(E) = 0.35, and P(F) = 0.26, what is P(E and F)?

A: Given Information P(E or F) = 0.04 P(E) = 0.35 P(F) = 0.26 P(E and F)

Q: If p(A) = 0.11, p(B) = 0.15 and p(A and B) = 0.26, are A and B independent? %D

A:

Q: Given P(E) = 0.45, P(F) = 0.47, and P(E and F) = 0.12, what is P(E or F)?

A:

Q: Given P(B) = 0.30, P(A and B) = 0.15, P(A or B) = 0.43, what is P(A)?

A: Arrange to find P(A):

Q: Given P(E) = 0.14, P(F) = 0.16, and P(E and F) = 0.16, what is P(E or F)?

A: Concept of General Addition Rule: For any two events E and F the General Addition Rule states that:

Q: Look at the diagram and evaluate. Which of the statements below is FALSE? АВ С O 1 2 3 45 6 7 8 9 10…

A: Solution: The objective is to evaluate the which statement is false

Q: If P(E∩F)=0.042, P(E|F)=0.12, and P(F|E)=0.6, then (a)   P(E)= (b)   P(F)= (c)   ?(?∪?)=

A: It is given that P(E∩F)=0.042, P(E/F)=0.12 and P(F/E)=0.6.

Q: if X follows N(H, ?^2), where p= 50, ?= 1.2 and n = 9. What is P( x? > 51)? O 0.20327 00.7967…

A: X follows normal distribution. X~(μ,σ2) where μ=50 and σ=1.2 and n=9 Find P(X¯>51)=?

Q: Which of these statements is/are true? a)0 E Ø c){0} C Ø e){0} € {0} b)Ø e {0} d)Ø c {0} f){Ø} c {0}

A: The given question is related to set theory and logic. The solution is explained below.

Q: AS B iff (B n C) U A = B n (C U A)

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: O If p(A) = 0.17, p(B) = 0.06 and p(A and B) = 0.0102, are A and B independent?

A:

Q: Given P(E) = 0.29, P(F) = 0.49, and P(E and F) = 0.15, what is P(E or F)?

A: Addition Theorem of Probability P( A U B ) = P(A) + P(B) - P(A n B)

Q: Given P(E or F) = 0.60, P(F) = 0.33, and P(E and F) = 0.08, what is P(E)?

A: Given data,  P(E or F) = 0.60, P(F) = 0.33,  P(E and F) = 0.08 P(E)=?

Q: |A) = 0.28, are A and B independent or depen

A: If the probability of occurrence of one event is not affected by the probability of occurrence of…

Q: 10. If C(n, r) = 35, which of the following are possible values of n and r? * n= 6, r=4 n= 7, r=3 n=…

A:

Q: If P(A) = 0.80, P(A or B) = 0.70, and P(A and B) = 0.60, then P(B) O a. 0.10 O b. 0.50 O c. 0.26 d.…

A: Given  P(A) = 0.80, P(A or B) = 0.70, and P(A and B) = 0.60, then we have to find P(B)

Q: Given P(A) = 0.15, P(B) = 0.19, and P(B|A) = 0.34, what is P(A and B)?

A:

Q: Given P(E or F) = 0.06, P(E) = 0.15, and P(F) = 0.44, what is P(E and F)?

A: Solution: From the given information, P(E or F)=0.06, P(E)=0.15 and P(F)=0.44.

Q: suppose A = {a, b, c}. Mark the statement T or F {b, c} ∈ P(A) {{a}} ⊆ P(A)  ∅ ⊆ A {∅} ⊆ P(A) ∅ ⊆ A…

A: we have to observe the given statement is true or not

Q: Given P(E or F) = 0.52, P(E) = 0.26, and P(E and F) = 0.19, what is P(F)

A: P(E or F) = 0.52 P(E) = 0.26 P(E and F) = 0.19