14. Event A and Event B are dependent. 21 a) P(B)=-; p(A and B) = 00i ; P(B|A) = b) P(B|A) =; P(A and B) =, P(B) = 200

Q: 2) x" = (Power RUle, n any nonzero integer)

A:

Q: Assume P (AU B) = .73, P (A) = .51, and P (B) = .47. Find P (AN B (AnB)

A:

Q: Suppose ℙ(?1|?2)=0.46P(E1|E2)=0.46, ℙ(?2|?1)=0.92P(E2|E1)=0.92, and ℙ(?1)×ℙ(?2)=P(E1)×P(E2)=0.24.…

A: * SOLUTION :-  From the given information the calculation is given as follows

Q: Assume P (A) = .68, P (B) = .45, and P (AN B) = .25. Find P ( An I (An).

A:

Q: 13. B(-2, -4) Reflect over the line y = x O a) (2, -4) O b) (-4, 2) O c) (-4, -2) O d) (4, 2)

A: We need to find reflection of point B(-2,-4) over the line y=x

Q: If S = {a, b, c} with P(a) = 4P(b) = 3P(c), find P(a).

A:

Q: 5. The probability that at least one of the events A and B will occur is P(A ∪ B) = P(A) + P(B) −…

A: and

Q: -2.4≥ x/5

A: We have to solve for x

Q: If S = {a, b, c} with P(a) = 8P(b) = 2P(c), find P(a).

A:

Q: You are given these facts: p(A | B) = 5/11. p(B) = 11/16. p(A) = 4/16. What is p(AB)? 15/32 5/12…

A: According to the given information in this question We need to find the following probability

Q: What is P(X>6)?

A:

Q: 4. If P(A) = .6, P(B) = .3, and P(A N B) = .2, then P(B| A) %3D ---- .33 .5 .67 O.9

A:

Q: Does this expression P(D) = 1.4 possibly occur

A:

Q: If P(A) = 0.73, P(A U B) = 0.88, and P(A n B) = 0.58, find P(B). O 0.15 0.26 0.58 0.73

A: P(A)=0.73P(AB)=0.88P(AB)=0.58

Q: If S = {a, b, c} with P(a) = 8P(b) = 5P(c), find P(a).

A: Total probability:If a sample space contains mutually exclusive and exhaustive events, then the sum…

Q: ILLUSTRATING MUTUALLY EXCLUSIVE EVENTS Tell whether each scenarios or events are mutually exclusive…

A: Since the question to be answered is not specified, we'll answer the first three. Please submit the…

Q: 6. If P(A) = 23, find P(Ā).

A: Given that. P(A)=0.23

Q: If P(A) = 0.4, P(B) = 0.9, \ and P(An B) = 0.3, \ then (a) P(A|B) = \ and (b) P(B|A) =

A: We have to find given probability...

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

A: Solution:

Q: \ssume P (A) = .53, P (AN B) = .33, and P( A N B = .25. Find P (B)

A:

Q: Suppose ℙ(?1|?2)=0.46 P ( E 1 | E 2 ) = 0.46 , ℙ(?2|?1)=0.92 P ( E 2 | E 1 ) = 0.92 , and…

A: When the occurrence of one event depends on another, we use conditional probability. For example, we…

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: 2.13 was not the asnwer.

A: Given: Sample variances12=8.5Sample variances22=4

Q: Given P(A and B) = 0.11, P(B) = 0.41, P(B|A) = 0.79, what is P(A)?

A: Given, P(A and B) = 0.11 P(B) = 0.41 P(B|A) = 0.79 P(A)=?

Q: Given P(A) = 0.22, P(B) = 0.24, and P(B|A) = 0.21, are A and B independent or dependent?

A: We know,  P(B/A) = P(A∩B)/P(A)     P(A∩B) = P(A) P(B) Events A and B are independent if the equation…

Q: What is the answer to this?

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

Q: Given P(A) = 0.21, P(B) = 0.24, and P(B|A) = 0.24, are A and B independent or dependent?

A:

Q: 6. Given that P(A) =0.2, P(A and B) = 0.1 and P(A or B) = 0.6,

A: P(A)=0.2, P(A and B)=0.1 annd P(A or B)=0.6

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: You are a researcher exploring the relationship between party attachment (Democrat, Republican,…

A: Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: P(A) = 0.5, P(B) = 0.3, P(A ∩ B)= 0.1 a) Find P(A given B).   b) P(B|A)

A: As per given by the question, there are P(A) = 0.5, P(B) = 0.3,and P(A ∩ B)= 0.1., then find PA…

Q: Given that P(A UB) = 0.76 P(AnB) = 0.36 P(ANB) 0.26 Find P(B|A) O 0.24 O 0.28 O 0.35 O 0.86

A:

Q: 3. р Л~ q

A: To write the truth table for p∧~q

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

Q: s 9, (1) find x (2) find the mean of the last three observations..

A:

Q: The graph of the derivative f'(t) of f (t) is shown. Compute the total change of f(t) over the…

A: Solve the following

Q: Suppose E= "sum is 5" and F= "exactly one of the dice is even". Are E and F independent?

A: The sample space is  S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)…

Q: Given P(A) = 0.27, P(B) = 0.27, and P(B|A) = 0.21, are A and B independent or dependent?

A: Events A and B are said to be independent if P(A∩B)=P(A)·P(B) Given:  P(A) = 0.27, P(B) = 0.27, and…

Q: P(A) = 0.4, P(B) = 0.5, P(A U B)= 0.6 a) Find P(A given B)    b) P(B|A)

A:

Q: John's answering machine receives about 28 telephone calls between 8:00 am and 8:00 pm. Let X = the…

A: John's answering machine receives about 28 telephone calls between 8:00 am and 8:00 pm.  This means…

Q: Assume that P ( A ) = P ( B ). Show that A = B

A: If possible let A≠B and there is an element x ∈ A and x ∉ B Then {x} ∈ P(A) , but {x} ∉ P(B)

Q: Given that p(A)=.87, p(B)=.71, and p(A| B) =.87, are A and B (a) independent? (b) exclusive?

A: