Find P(A).

Q: Let A = {1,{2,3}}. Find P(A), n(A) and n (P(A)).

A: The power set of a set is the set of its subsets. The expression nA represents the number of…

Q: P(A) = P (B) = P(AN B)then %3D P[(AN B) U (AN B)] = 1

A:

Q: Given P(E or F) = 0.71, P(F) = 0.12, and P(E and F) = 0.18, what is P(E)?

A: The given problem is to find the value of P(E) with the given P(E or F)=0.71, P(F)=0.12, P(E and…

Q: Given P(E or F) = 0.82, P(F) = 0.25, and P(E and F) = 0.14, what is P(E)?

A:

Q: Given P(E or F) = 0.72, P(E) = 0.22, and P(E and F) = 0.04, what is P(F)?

A: Here we need to find P(F).

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

A:

Q: Given P(E or F) = 0.78, P(E) = 0.10, and P(E and F) = 0.18, what is P(F)?

A: Given that P(E or F) = 0.78, P(E) = 0.10, and P(E and F)=0.18

Q: If P(A) = 0.7, P(B) = 0.4 and P(A/B) = 0.28, then P(B/A) is %3D %3D Select one: a. 0.16 O b.0.48 c.…

A:

Q: Let P(A)=P(A)= 0.282.   Find P(A¯¯¯¯)P(A¯). Do not round your answer.

A: From the provided information, The probability of event A, P (A) = 0.282

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

A:

Q: Given P(A) = 0.3 and P(B) = 0.4; if P(A and B) = 0.1, compute P(A or B)

A: From the provided information, P (A) = 0.3, P (B) = 0.4 and P (A and B) = 0.1

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: 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: 1. P2021(x).p2022(x) = -1 Select one: a. 2021 b. 2022 C. 0 d. 1 e. NOT O O O O

A: For the correct answer of given problem we will use the Orthogonality of Legendre's Polynomial.

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(B) = 0.47, P(A and B) = 0.21, P(A or B) = 0.40, what is P(A)?

A: P(B) = 0.47 P(A and B) = 0.21 P(A or B) = 0.40

Q: P(A1) = 0.60, P(A2) = 0.40, P(B1 | A1) = 0.05, and P(B1 | A2) = 0.10. Use Bayes' theorem to…

A: By Bayes’ theorem, P(A1| B1) is given by:

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) = 0.82, P(F) = 0.32, and P(E and F) = 0.13, what is P(E)?

A: P(E or F) = 0.82 P(F) = 0.32 P(E and F) = 0.13 P(E)=?

Q: GivenP(A) = 0.4,  P(B) = 0.5, P(A | B) = 0.3 Compute  P(A and B) Compute P(A or B).

A: P(A) = 0.4, P(B) = 0.5, P(A|B) = 0.3

Q: P(t) = 24 + 0.4t. What are the values of the population for t = 10, 20, and 30?

A: Given,         The population function is given as Pt=24+0.4t