The addition Rule: P(A or B) = P(A) + P(B) - P(A and B) A useful formula: P(A and B) = P(A)*P(B) when events A and B are independent.    If P(A or B) = 0.253, P(A) = 0.208 and P(A and B) = 0.509, what is P(B)?

Q: If P(B) = 1/4 and P(A|B) = 1/2, what is P(A^ B)?

A: P(B¯) = 1/4P(A|B) = 1/2We have to determine P(A∩B).

Q: Evaluate. (a) (– 6)2 (b) – 62

A: We have to solve given Questions.

Q: What is the value of Σ(X - 4)2 for the following scores?  Scores: 4, 1, 6, 5

A: Given that, Scores (X): 4, 1, 6, 5 Calculate (X-4):

Q: For Exercise, evaluate the expression. (n – 1)! (n + 1)!

A:

Q: Given P(A and B) = 0.37, P(B) = 0.57, P(B|A) = 0.91, what is P(A)?

A: We have to find given probability.

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: TRUE e) If A = {1,2}, B = {3,4}, and C = {A,B} then |P(C)| = 4 %3D FALSE

A: Solution :-     The given statement is       "   A = { 1 , 2 }  and   B = { 3 , 4 }  and     C = { A…

Q: MT BF due to tr 2 exp (tr/0.390) 9.6X1018)x 250x106 x1 tz 0:34Ne → TrE 14:99 x 151((p. ftip.fiop)…

A:

Q: b(x)

A: First, transform the function from b(x) → b(x-2), the graph of b(x) will shift by 2 units in right…

Q: You are given that P(A)= 0.35, P(B)=.0.25, P(A or B)=0.45. a) Find P(A|B) b) Find P(B|A)

A:

Q: 4(p-4)-(p+7)=5(p-3)

A: Solved below

Q: If n(A) = 14, n(B) = 6, and n(A U B) = 14, what do you know about n(A N B)? %3D n(A n B) = (Simplify…

A:

Q: Drug in the Bloodstream Suppose a 400-milligramdose of heart medicine is taken daily. During…

A:

Q: Given P (A and B) 0 0.04, P (B) 0.64, P (B|A) 0.87, what is P (A)?

A: Conditional probability:The conditional probability describes that the probability of an event B…

Q: Given P(A and B) = 0.25, P(B) = 0.85, P(B|A) = 0.93, what is P(A)?

A:

Q: Given P(A and B) = 0.10, P(A) = 0.68, what is P(B|A)

A: Given that, P(A and B) = 0.10 P(A) = 0.68

Q: (16)(20)+(8) (32)=

A: The given expression is

Q: 4 A math teacher surveys 10 randomly- selected students in her classes. She finds that 7 of the 10…

A: Out of 10 students 7 speak more than one language fluently. So, 7 out of 10 students speak more than…

Q: Given P(A and B) = 0.07, P(B) = 0.56, P(B|A) = 0.62, what is P(A)?

A: We will use the conditional probability formula

Q: 7

A:

Q: Question 4 The graph below represents an arithmetic sequence. . 15 . 10 5 -5 -10 -15 -20 a 2 ● • 4 a…

A:

Q: P(ANB) = P(A)NP(B).

A:

Q: A cereal company puts a Star Wars toy watch in each of its boxes as a sales promotion. Twenty…

A: Given, a cereal company puts a Star Wars toy watch in each of its boxes as a sales promotion. Twenty…

Q: (e) B|C List the simple events in B|C. B|C = Find P(B|C). P(B|C) = (f) A|B List the simple events in…

A: Given: A: E2, E3               PA=0.4B: E1, E2, E4, E5    PB=0.8C: E3, E4               PC=0.4

Q: P= +-1 Q=1 ++1 P(ar) =

A:

Q: U10(20) = {1,11, 20}

A: U(20)=1,3,7,9,11,13,17,19 be the group of positive integers coprime to 20 whose operation is…

Q: P(A) = 0.6, P(B) = 0.4, P(A∩B)= 0.2 a) Find P(A given B)     b) P(B|A)

A: Given data: The given probability of A is P(A)=0.6. The given probability of B is P(B)=0.4. The…

Q: (b) 6 + 7 + 8 + 9 + ... + k

A: (b) Given that 6+7+8+9+...+k The objective is to find the sum. The formula for sum of numbers are,…

Q: HW2: Find A*B and B*A if: 2 3 -3 -5 6. -2 -5 -1 1 -3- || ||

A:

Q: Evaluate L-1 [6s-5' s²+95

A: