What is the probability that the current goes from a to b? Each component is independent and the probability that it works is shown in each one. Note: P (A∪B) = 1 − P [(A∪B) ′] = 1 − P (A′∩B ′) Select one: to. 0.898 b. 0.998 c. 0.102 d. 0.812

Q: Suppose P(A) = 0.57, P(B) = 0.20, and P(AM B)= 0.05. What is P(A| BC?

A: A and B with probabilities P(A)= 0.57 and P(B)= 0.20 P(A ⋂ B)= 0.05To find the probabilit P(A|Bc)

Q: If x is bin(n=5, P=0.3) then P(2)= Select one: a. 0.3087 b. 0.6013 c. 0.15 d. 0.2887 e. 0.3078

A: Given,n=5P=0.3P(X=x)=cxn px(1-p)n-x   ; x=0,1,2,....n

Q: If SSR=36 and SSE=4, determine SST and then com-pute the coefficient of determination, r2, and…

A: Given that SSR=36 and SSE=4 We have to find SST = ? And  r2 = ?

Q: Suppose P(C) = 0.3 and P(D|C) = 0.8. Find P(C&D).

A: Given that,P (C) =0.3P (D/C) =0.8P (C&D) =?

Q: Given z=. Find z z„= -2x , = 2x*3 Option 1 Option 2 z„- -2x Option 3 none of the above

A:

Q: Given that m*n=3m-n, find the value for y for which (2*1)*y=0

A: Given mn=3m-n

Q: C.0.9625 D. 0.9633 A 0.0375 8.0.3075 4. Find the probability value of PIZ-1.0) A 15.87% C. 84.13% D.…

A: I used z- table to calculate the probabilities and z scores.

Q: The number of degrees of freedom for a chi-square test is calculated as a. n-1.…

A: The number of degrees of freedom for a chi-square test is calculated as Solution: Correct option is…

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: Suppose P(B)=0.22, P(A and B)=0.125, and A and B are independent. Find P(Ac) Select one: A. 0.57 B.…

A: Given Information:PB=0.22PA and B=0.125A and B are independent.To find PAc

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

A:

Q: Let a 51 – 2j and b- 21 +j- 7k then what is a. b =? O a. 1 O b. -12 Oc-8 O d. 12 O e. 8

A: a= 5i -2j  b = 2i + 1j -7k

Q: If n(A) = 45, n(B) = 23, and n(A n B) = 8, find n(A U B).

A:

Q: If P (A) = 0.55, P(B) = 0.7, and P(A B) = 0.42, find P (A or B). and P(4 or B) = D

A:

Q: Which of the following is true? 12-211mod6 a. b. 23-11mod7 c. 34-5mod3 d. 33 - 31mod32 O a Ob O C

A: A congruence expression a≅b(modc) means (a-b) is divisible by c.

Q: If n(A) = 42, n(B) = 15, and n(AN B) = 1, find n(A U B).

A:

Q: Let P (A) = 0.4 and P (A ∪ B) = 0.6. For what value of P (B) are A and B independent?

A:

Q: If n(A) = 42, n(B) = 17, and n(A N B) = 8, find n(A U B).

A:

Q: Find the value of p: 1 2.9 = 1.2p + ¬p %3D 4

A: Solution:

Q: Consider rolling 2 3-sided dice. Let X = the sum of the dice.  Let Y = the product of the dice. a…

A:

Q: If n(A) = 41, n(B) = 22, and n(A n B) = 6, find n(A U B).

A:

Q: If b = 1, c = 2, and ZA = 60o, find a. %3D

A:

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…

A:

Q: given that P(A or B) = 1/3, P(A) = 1/7, and P(A and B) = 1/8, find P(B) a. 101/168 b. 159/168 c.…

A: Concept of General Addition Rule: For any two events A and B the General Addition Rule states that:\

Q: If n(A) = 41, n(B) = 18, and n(A n B) = 6, find n(A U B).

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: If n(A)=40, n(B)=24, and n(A n B)=6, find n(A u B).

A: We use Venn diagram to solve the given question.

Q: Which of the following is true? a. 12-211mod6 b. 23-11mod7 c. 34= -5mod3 d. 33 - 31mod32 a Ob

A: A congruence expression a≅b(modm) is true iff m|(a-b)

Q: MODE =

A: Mode is defined as that value which has the highest frequency.  In other words , mode is that value…