For two independent events A and B, P(A) = .4 an P(B) = .2. a. Find P(AB). b. Find P(A|B). c. Find P(A U B).

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: Given P(E or F) = 0.60, P(F) = 0.43, and P(E and F) = 0.11, what is P(E)?

A: Given  P(E or F) = 0.60, P(F) = 0.43, and P(E and F) = 0.11, P(E)= ?

Q: We are given that  P(A | B) = 0.2  and  P(A) = 0.9.  Since  P(A | B) ≠ P(A),  the occurrence of…

A: Since  P(A | B) ≠ P(A),  the occurrence of event B changes the probability that event A will occur.…

Q: Given P(A) = 0.35, P(B) = 0.31, P(A or B) = 0.26, what is P(A and B)?

A: P(A) = 0.35, P(B) = 0.31 and P(A or B) = 0.26

Q: A student goes to the library. Let events B = the student checks out a book and D = the student…

A: Let define the events: B = the student checks out a book   D = the student check out a DVD The known…

Q: Given P(E or F) = 0.86, P(F) = 0.26, and P(E and F) = 0.02, what is P(E)?

A: Given P(E or F) = 0.86, P(F) = 0.26, and P(E and F) = 0.02, By the addition theorem  P(EorF) =P(E)…

Q: Given P(A) = 0.30, P(B) = 0.27, P(A or B) = 0.17, what is P(A and B)?

A:

Q: For two events, A and B, P(A) = 0.5, P(B) = 0.5, and P(A/B) = 0.4. a. Find P(ANB). b. Find P(BIA).…

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: 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: if  Let P(C) = 0.2, Let P(D) = 0.3, Let P(C | D) = 0.4  how do you find P(D | C)

A:

Q: Given P(E)=0.49, P(F)=0.34,and P(E and F)=0.15, what is P(E or F)?

A: GivenP(E)=0.49P(F)=0.34P(E∩F)=0.15

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: 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: The two events E and F are independent with P(E) = 0.45 and P(F) = 0.3. Find P(E ∪ F).

A: Given that, The two events E and F are independent with  PE=0.45 PF=0.3 The probability PE∪F is…

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 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: 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 P(E or F)=0.87, P(E)=0.14, and P(E and F)=0.19, what is P(F)?

A: We have given that,  P(E or F) = 0.87, P(E) = 0.14                              and P(E and F)= 0.19…

Q: Q2. Write the four conditions to say the events E, F and G are said to be independent.

A: The four conditions to say the events E, F and G are independent are,

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: Given P(E or F) =0.65 , P(E) = 0.42 and P(EandF) = 0.02 , what is P(F) ?

A: We have given that P(E or F) = 0.65 P(E) = 0.42 P(E and F) = 0.02 We have to find P(F) ?

Q: Ahmad rolled two dice and observed two numbers X and Y a. Find P (X=2, Y=6) b. Find P(X>3|Y=2).

A:

Q: The events A and B are independent. P(A)=2x, P(B)=3x, P(AUB)=2/3). Find the value of x.

A: Given Data: P(A)=2x P(B)=3x P(AUB)=2/3 The probability of A intersection B is, PA∩B=PA·PB=2x3x=6x2

Q: Given P(E) = 0.49, P(F) = 0.34, and P(E and F) = 0.03, what is P(E or F)?

A: Given Data: P(E) = 0.49 P(F) = 0.34 P(E and F) = 0.03

Q: Given P(A) = 0.47, P(B) = 0.29, P(A or B) = 0.17, what is P(A and B)?

A: Given P(A) = 0.47 P(B) = 0.29 P(A or B) = 0.17

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: Q1 find the standrd devaiton of A  ,B and C  where  A  is the resulto of rolling  a 4 sided dice .…

A: Solution :  Let, A : Result of rolling 4 sided dice. A 1 2 3 4 P(A) 0.25 0.25 0.25 0.25 Now,…