( (7.)Write a fruitful function sum_to(n) that returns the sum of all integer numbers up to and including n. So sum_to(10) would be 1+2+3...+10 which would return the value 55. 8.)Write a function area_of_circle(r) which returns the area of a circle of radius r.
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- Part (a) Write a python function that computes the binomial coefficient ("). The function should return the correct answer for any positive integer n and k where k=m pass Part (c) Suppose that the number of people in the trial is 100. Then: • Plot a curve that shows how the probability of type 1 error changes with the choice of m, for m = 1,...n assuming that the null hypothesis holds (in red), • On the same picture, plot the probability of type 2 error vs the value of m in the case in which the new drug is effective with proability 0.68 (in blue). You can plot the two curves using matplotlib.pyplot. You can select the color by passing color='r' or color='b' to the plt.plot() function. [4]: n - 100 # your code here def plot_curve (): pass [5]: plot_curve() Part (d) Based on the picture above, what value of m do you think would be suitable to keep both type 1 and type 2 error small at the same time? (You may assume that the company claims the new drug has 68% accuracy) [6]: # your…Please send me answer with in 10 min!! I will you rate you good for sure!! Please solve all the 4 parts!! Write a class named Homework in IntelliJ that implements:(1) A function that performs dot product between two vectors a and b:public static double dotProduct(double[] a, double[] b)(2) A function that performs matrix multiplication between aMat and bMat and returns theresult in cMatpublic static void matMultiply(double[][] aMat, double[][] bMat, double[][] cMat)(3) A function that takes a line (String) as input and breaks it up into words that may beseparated by space, comma or tab:public static String[] getLineWords(String line)(4) A main function that tests all the above functions and prints out the results. Code written (has errors, but this is the structure/ method I'm going for) public class Homework { public static double dotProduct(double[] a, double[] b) { double result = 0; for (int i = 0; i < a.length; i++) { result += a[i] * b[i]; } return result; } public static…Define a new “findPasswordIfUnique”functionthat accepts 4 parameters: oAn array of “User” oobjectpointers oArray’s length oSearch usernameIt will return an integer number: o0 for not foundo1 found but there are other Userobjectswith the same username o2 found andits username isuniquein thatgivenarrayIn addition,it will alsoreturn theassociatedpassword for that user if it is found and unique.Show how this function is being called and return proper information.Do not use malloc. All data members must be declared as “private”•No global variable canbe declared and used•Methods within the classand the requested functionscannot have “cin” or “cout” but it should make use of parameters and return value instead.•“cin” and “cout” should be done in main() or any testing functions•Make sure that you clearly show how the C++ class, its methods and all the functions are being called at least twice and print out its return value and its results properly.
- Create a function using Java: Number of Rows = 3-6 Number of Columns = 3-6 Function Name: winInDiagonalFSParameters: board: 2D integer array, piece: integerReturn: booleanAssume board is valid 2D int array, piece is X==1/O==2.Look at all forward slash / diagonals in the board. If any forward slash / diagonals has at least 3consecutive entries with given type of piece (X/O) (3 in a row XXX, OOO), then return true,otherwise falseWrite a function using Java Function Name: winInRowParameters: board: 2D integer array, row: integer, piece: integerReturn: booleanAssume board is valid 2D int array, row is valid index in the board, piece is X==1/O==2Look at indicated row at given index in board. If that row has at least 3 consecutive entries withgiven type of piece (X/O) (3 in a row XXX, OOO), then return true, otherwise false.Write a function that takes in an integer n and computes n!. Do this without recursion. In [ ]: deffactorial_iter(n):"""Takes in an integer n>0 and returns the product of all integers from 1 to n."""# YOUR CODE HEREraiseNotImplementedError() In [ ]: In [ ]: assert factorial_iter(6) == 720 assert factorial_iter(7) == 5040 assert factorial_iter(10) == 3628800
- (Numerical) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters to 0, and then generate a large number of pseudorandom integers between 0 and 9. Each time a 0 occurs, increment the variable you have designated as the zero counter; when a 1 occurs, increment the counter variable that’s keeping count of the 1s that occur; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of the time they occurred.Abraham Series to Compute Write a well-documented Python program, hmwk4Q2.py, that calculates. Construct a function abr_pi.py(N) accepts an integer N and returns an estimate of computing the Abraham Series using N terms. The series is: [2(1) 3ần 2n + 1 12=0 Have the main() call upon your function for various values of N to ensure it is correctly working. π =Peacn I need help to write down the descri[tion of this prgramm coding for example, like you give explaination about this calculator program. Please I will appriciate your help # Program make a simple calculatorfrom itertools import permutations,combinationsimport statistics# This function adds two numbersdef add(x, y): return x + y # This function subtracts two numbersdef subtract(x, y): return x - y # This function multiplies two numbersdef multiply(x, y): return x * y # This function divides two numbersdef divide(x, y): return x / y def permutationfun(arr,length): perm = permutations(arr, length) return perm def combinationfun(arr,length): comb=combinations(arr,length) return comb def stats(marks): lengths = [x for x in marks.values()] n = len(lengths) get_sum = sum(lengths) mean = get_sum / n lengths.sort() if n % 2 == 0: median1 = lengths[n//2] median2 = lengths[n//2 - 1] median = (median1 + median2)/2 else:…
- Create a function using Java: Number of Rows = 3-6 Number of Columns = 3-6 Function Name: winInDiagonalBSParameters: board: 2D integer array, piece: integerReturn: booleanAssume board is valid 2D int array, piece is X==1/O==2.Look at all backward slash \ diagonal in the board. If any backward slash \ diagonal has atleast 3 consecutive entries with a given type of piece (X/O) (3 in a row XXX, OOO), then return true,otherwise false.Given an integer array of positive single digit values such as:int a[] = {8,4,2,6,9};1) Write a recursive arrayToN function which returns the concatenation of all array values as an integer value.This function should accept all required data as parameters and return a long integer value.ExamplesIf the array is 8 4 2 6 9 the arrayToN function returns the integer 84269.If the array is 0 2 6 8 9 3 5 1 the arrayToN function returns the integer 2689351.There is a large pile of socks that must be paired by color. Given an array of integers representing the color of each sock, determine how many pairs of socks with matching colors there are. Example There is one pair of color and one of color . There are three odd socks left, one of each color. The number of pairs is . Function Description Complete the sockMerchant function in the editor below. sockMerchant has the following parameter(s): int n: the number of socks in the pile int ar[n]: the colors of each sock Returns int: the number of pairs Input Format The first line contains an integer , the number of socks represented in .The second line contains space-separated integers, , the colors of the socks in the pile. Constraints where Sample Input STDIN Function ----- -------- 9 n = 9 10 20 20 10 10 30 50 10 20 ar = [10, 20, 20, 10, 10, 30, 50, 10, 20] Sample Output 3 Explanation There are three pairs of socks.