Here is a venn diagram:

a) (i) A∪B are 8, 9, 14, 15, 16, 17

(ii) A ∩ B are 14 and 17

b) The probability that a number chosen at random is in the set A' is 0.7

Step-by-step explanation:

a) (i) The numbers that are in the set A∪B are given as follows;

A∪B = {x: x ∈ A or x ∈ B}

A∪B is the set of all elements "x" such that "x" is a member of A or B

Therefore, A∪B = (8, 9, 14, 15, 16, 17)

(ii) A intersection B, written as , A∩B), is the set of elements belonging to both set A and set B

A∩B  = {x: x ∈ A and x ∈ B}

Therefore;

A ∩ B = 14 and 17

b) The set A' which is the complement of A are the elements in the universe which are not in A

The number of elements in the Venn diagram = 10 (numbers)

The number of elements in the set A' = 7

The probability that a number chosen at random is in the set A', P(A') is given as follows;

P(A') = (The number of elements in the set A')/(The number of elements in the Venn diagram)

∴ P(A') = 7/10 = 0.7

ok

step-by-step explanation: