2. Suppose A and B are independent. If Pr[A ∪ B] = .6 and Pr[A] = .4, find Pr[A ∩ B Compliment]

Q: 4. If u = (-3, 2), v = (-4, –6), find 4u – 7v %3D

A:

Q: . If an+2 = 6an+1 - 8an + 3 and ao = 3, a1 = 7, then a6

A: We have to solve given problem:

Q: Let a1 = [-2  h], and a2 = [10  -20] The set {a1,a2} will span R3 unless h

A:

Q: Let 4; = {0, i} . Find U4, and N 4. i= 1 | A;. i= 1

A: Given :  Ai =  0 , i    To find :  The union ∪i=1∞ Ai    and the intersection  ∩i=1∞ Ai   .

Q: (d) List all outcomes in the event D that exactly two vehicles go in the same direction. D = (e)…

A: See the handwritten solution

Q: Let a = 27 and b = 4. Determine several pairs of integers q andr so that 27 = 4g +r. For example, if…

A: Given that, Leta 27 and Determine several pairs of integers q and r so that 27=4q+r For example if…

Q: Indicate whether the two sets are equal. D = {x: x is a natural number less than 3}, E = {1, 2, 3}

A:

Q: Let à (2, 4, 3) and b = (1, 3, – 4). = Find a b. . -

A: Let a→=2, 4, -3 and b→=1, 3, -4.To find a→·b→.

Q: Suppose that p is false, but q is true. Which of the following statements are also true? Select all…

A: Given the statement p is false, but q is true.

Q: 18. Show that P→ qand-q→→p are logically equivalent.

A: We have to show that  and  are logically equivalent.

Q: T T T F 29. If x and y are real numbers and x² < y² then x < y. F 30. Let A, B, C and D be sets with…

A: We have to check whether the given statement is true or false.

Q: Let A = {a, b, c, d}. Find P(A).

A: Let A = {a, b, c, d}. Find P(A).

Q: A W C р 3 a 6.0 g h f B

A:

Q: If  A ∩ B = ∅, P(A) = 0.4, P(A ∪ B) = 0.8. Find P(B).

A: Given : A∩B = ∅PA = 0.4PA∪B = 0.8

Q: Suppose that P(A) = 0.4, P(B) = 0.3 and PAUB)-042, then a. A and B are dependent b. none of the…

A: We have to find out correct answer...

Q: If the P-value is less than the a value, which one is correct? Reject Ho or fail to reject Ho Ans:

A: if the P-value is less than the α value ,than

Q: (2b) Let A and B be sets. Prove that A – B is disjoint from A n BC LA O BE

A: The set A∩B is defined as A∩B=x|x∈A and x∈B The set A-B is defined as A-B=x|x∈A and x∉B Two sets are…

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.