q22- We know P(M) = 0.52, P(N) =0.67, and P(M ∩ N) =0.57, then P(M ∪ N) is: a. 0.62 b. 0.41 c. 0.21 d. 0.31

Q: Given P(A) = 0.7 and P(B) = 0.8. If P(A/B) = 0.3 find P(A and B).

A: Given that  P(A)=0.7 , P(B)=0.8 P(A/B)=0.3

Q: P(A U B) = 0.9, P(B) = 0.8, P(A n B) = 0.5. Find P(A). %D

A: We have given that,  P(A∪B) = 0.9, P(B) = 0.8 and P(A∩ B) = 0.5 Then,  We will find P(A) = ?

Q: p(a)= 0.7 p(b)=0.2 and A and B are mutually exclusive, find p(A and B)

A: Given that  p(A)=0.7 , p(B)=0.2

Q: p(e and f) is 0.4 and p(e) is 0.8 what is p(f|e) ?

A: Given,P(e and f) = 0.4and P(e) = 0.8

Q: If P(A) = 0.36, P(B) = 0.150., and A and B are independent, find P(A | B). 0.36 0.417 0.21 0.51

A: According to the given information in this question We need to identify the correct option

Q: If cov (x,y) is negative, then as variable y variable x increase. Select one: a. decrease b.…

A: Covariance is used to know the direction of relationship between two variables. The positive sign of…

Q: Given m = 6, n = 1, and v = (-4, 7), what is v(n-m)?

A:

Q: #S = (a.b.c) with P(a) = 5P(b) = 7P(c), find P(c).

A: Solution :-

Q: P(A|B) = 0.2, P(A) = 0.5, P(B) = 0.45                    Find P(A U B)

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: Given  H(p) =  7p p + 6,  evaluate. H(1)

A: Given: H(p)=7pp+6   To find: H(1)=??

Q: using a=.01 ,find the values of z for which Ho:(p1-p2)=0 would be rejected in favor of the…

A: The significance level is  the alternative hypothesis is .

Q: P(A) = 0.25, P(B) = 0.65, P(AU B)= 0.8 Find a) P(A|B)        b) P(B|A)

A: First we need to find P(AnB). P(AnB) = P(A)+P(B)-P(AUB) = 0.25+0.65-0.8 = 0.1

Q: Does each of the following series converge or diverge? Why? Show all your work and MUST include the…

A: To determine whether the series ∑n=1∞​(3+8n2)(2n2+1)​​ converges or diverges, I'll use the Direct…

Q: p(a)= 0.40 and p(b) = 0.20 and p(b|a)= 0.30 find p(a|b) A) 0.15 B) 0.36 C) 0.69 D) 0.00 E) 0.18

A: We have given that p(a)= 0.40  p(b) = 0.20  p(b|a)= 0.30 p(a|b) = ?

Q: p: I take the course. q: I ill graduate. It is false that I do not take the course and I graduate. I…

A: Let p,q be the propositions: p: I take the course. q: I will graduate. and given compound statement…

Q: P(z -1.3)

A: Note that, for z-distribution (standard normal distribution), the mean is 0 and the standard…

Q: Given P(A) = 0.2, P(B) = 0.6 do the following.  If P(A | B) = 0.1, compute P(A and B).

A: Given that  P(A) = 0.2, P(B) = 0.6 P(A | B) = 0.1 Find P(A and B)

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 that P(A) = 0.38 and P(B)=0.36, find P(An B) if A and B are mutually exclusive. OA. 0.74 OB. 0…

A: Mutually exclusive event is the events are unique and there will be no  common elements between…

Q: P(A) = 0.13, P(B) = 0.47, P (A ∩ B) = 0.05 Find a) P(A|B).   b) P(B|A)

A: P(A) = 0.13, P(B) = 0.47, P (A ∩ B) = 0.05   We know :

Q: Differentiate from first principle y = 5x²³² +22² +32 +4

A:

Q: P(A) = 0.2, P(B) = 0.6, P(AUB)= 0.7 Find a) P(A|B)  b) P(B|A)

A:

Q: P(A ∪ B) = 0.9, P(B) = 0.7, P(A ∩ B) = 0.5. Find P(A).

A: A detailed solution is given below

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.