Use the set definitions A = (a) P(ANB) (b) P(AUB) (c) P(A)n P(B) (d) P(A) UP(B) {a,b} and B = {b,c} to express each set below. Use roster notation in your solutions.
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Can you help me with this problem because I am struggling this problem and the two parts.can you label the parts as well
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- 7. Use the set-roster notation to indicate the elements in eachof the following sets.a. V = {s ∈ Z| s > 2 or s < 3}b. W = {t ∈ Z | 1 < t < −3}c. X = {u ∈ Z | u ≤ 4 or u ≥ 1}Maze Runner Function - Implementation of this function is done in a1_partd.py We describe a maze as having row x col cells. For example if row was 3, and col was 4, then we would have a grid of cells as follows. We describe a wall by the two cell numbers the wall separates. If every single wall existed, there would be (row-1)(col) + (col-1)(row) walls. 0 | 1 | 2 | 3 4 | 5 | 6 | 7 8 | 9 | 10 | 11 A Maze class (which you do not need to implement) describes a maze as mentioned above. This class is defined in maze.py. It has methods that you can use to travel through the maze (i.e. figure out where you are, find a neighbour cell etc.) use a recursive maze runner function: def find_path(maze, from_cell, to_cell); The find_path function will find a path from cell number from_cell to cell number to_cell and will return it as a list containing all the cell numbers along the path, from the from_cell to the to_cell. You are allowed to use this function as a wrapper to a recursive function that…If A={8,12,16,20} and B={12,16,20,24,28}, what is the value of P (A and B)?Set B = { a,b,c,d} and Set C = {b,d,f,g}. Find B U C.Hef sharks_minnows (minnows, sharks): shark_count = 0 minnow_count = len (minnows) for i in range(minnow_count): curr_shark_height = minnows [i] if curr_shark_height is not None: minnows [i] = None for j in range (i + 1, minnow_count): if minnows [j] == curr_shark_height: minnows [j] = None curr_shark_height -- 1 shark_count += 1 return shark_count <= sharks The provided code is imperfect, in that it sometimes returns True when it should return False, and sometimes returns False when it should return True. (a) Provide an example of a function call where the provided code will correctly return True (i.e. a True Positive) (b) Provide an example of a function call where the provided code will correctly return False (i.e. a True Negative) (c) Provide an example of a function call where the provided code will incorrectly return True (i.e. a False Positive) (d) Provide an example of a function call where the provided code will incorrectly return False (i.e. a False Negative)1. Consider the sets: U = {A, B,C,D, E, F,G, H,I,J}, A = {A,C, E} and B = {B,C, D, F,G}. Write the set corresponding to each of the following): (a) AnB (b) AUB (c) | AU B|| (d) A\B (e) B\AIterating over a dictionary example: Gradebook statistics. Write a program that uses the keys(), values(), and/or items() dict methods to find statistics about the student_grades dictionary. Find the following: Print the name and grade percentage of the student with the highest total of points. Find the average score of each assignment. Find and apply a curve to each student's total score, such that the best student has 100% of the total points. The language is in Python. # student_grades contains scores (out of 100) for 5 assignmentsstudent_grades = {'Andrew': [56, 79, 90, 22, 50],'Nisreen': [88, 62, 68, 75, 78],'Alan': [95, 88, 92, 85, 85],'Chang': [76, 88, 85, 82, 90],'Tricia': [99, 92, 95, 89, 99]} So far I have the first part of the question: for student, scores in student_grades.items(): print(student, sum(scores)/len(scores))A = {x| x = 3d + 2, d e N}, B = {x € Z]a? + 9 = 0}, C = {1,5}. Also assume the Universal set is N: Show the following: (a) (Cn A) – B (b) (AUC) – B (с) Р(P(C - В)nA)Relational Thinking sets 25 students attend a programming workshop. 15 students study Python. 14 students study Java. 5 students changed to another field of study. How many students study both Java and Python. Use set diagrams to explain your answer. Draw the diagram showing the relationship A ⊆ B Draw the diagram to show the relationship A ∩ B Let E be the set of even numbers, and let P be the set of prime numbers. Use set notation to express the following statement: “2 is the only even prime number.” List the set operations most closely matching disjunction, conjunction, negation, conditional (if then), biconditional (iff if and only if)Let A = {2,7,8}, B = {-1,2,6,7}, C = {2,4,6,8,10}, D = {{7},{2,4},{6},2 ,8}List each set starting with lowest cardinality to highest. List elements in ascending order. Note that any answer that should be a set MUST be entered using set notation with no spaces. What is the power set of A? _______________________ Answer is not {Ø,{2},{7},{8},{2,7},{7,8},{2,7,8}}Recamán's sequence def recaman_item(n):Compute and return the n:th term of the Recamán's sequence. See the linked definition for this sequence on Wolfram Mathworld. Note how the definition for the current element in this sequence depends on whether some particular number can be found in the previously generated prefix of the sequence. To allow your function to execute in a sure and speedy fashion even for millions of elements, you should use a set to keep track of which elements are already part of the prefix of the sequence generated so far. This way you can generate each element in constant time, instead of having to iterate through the entire previously generated list the way some "Shlemiel" might approach this problem. n Expected result 1 1 8 12 13 23 57 87 395743 258330 The previous version of this problem, simply called recaman in the very first versions of this problem collection,…SEE MORE QUESTIONS