Binary Hamming Code Write a program that has the following: 1. Let the program ask the user to enter the number parity-check sym- bols, m. 2. Let the program evaluate the code-length, n, the number of information- symbols, k. 3. Define a function that generates a systematic parity-check matrix H for such Hamming code. Let the H matrix differ each time the code runs
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- In loop functions.py, define a function named permutations that takes two paramters, n and r, in that order. This function returns the number of different permutations of length r from set of size n. Essentially to calculate these permutations, the function should compute the product (n - r+1)*(n-r+2)*(n-r+3)*...*(n-2)*(n-1) or n!/(n-r)!. No if statements or built in math functions should be used. For or while loops are best reccomended.Code the function multiplier(). /***** *** //The multiplier function takes 2 integer // parameters n1 and n2 and displays the result // of n1 times n2 //*** *******Q11/ A function f(t) is said to be even if: Oa) f(t) = f(-t) Ob) f(t) = -f(-t) Oc) f(t) # f(-t) %3D Od) None of these
- 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…the minimal POS of the following function is (f (A, B,C) = [IM(2,6)) : Select one: O A. A.B О в. В + С" О с. В' + С O D. A + B CamScanner W agall4- Write a python function that takes one integer (n) parameter and prints the first n digits from the Fibonacci series using recursion. Sample input: 5 Sample output: 0, 1, 1, 2, 3
- the minimal POS of the following function is (f (A, B,C) = []M(2,6)) : Select one: O A. A.B О в. В + С' О с. В' + С O D. A + B CamScanner+ gub da guaallGiven a Binary Number B, find its decimal equivalent. Example 1: Input: B = 10001000 Output: 136 Example 2: Input: B = 101100 Output: 44 Your Task: You don't need to read or print anything. Your task is to complete the function binary_to_decimal() which takes the binary number as string input parameter and returns its decimal equivalent. Expected Time Complexity: 0(K* Log(K)) where K is number of bits in binary number. Expected Space Complexity: 0(1)Write your own definition for the function absfun( ) which receives real number x as an argument and returns its absolute value (i.e. abs(x)=|x|). Use this function in a program that reads numbers from the keyboard and prints their absolute values. [Don’t use math library] Sample Run Enter x :-3 Output: abs(-3) = 3.00 in c language
- convert_std_units(ser): This function takes one input: ser: a Series. Takes a Series of numeric values and converts to standard units, that is, it computes the mean and standard deviation of ser, and for each s in ser, computes (s - mean)/(standard deviation) and returns the resulting series program returned Tests convert_std_units() on Series from a Gaussian with mu=10 & sigma=5. (0.0/3.0) For column: 0 3.758701 1 12.609100 2 16.768416 3 8.938544 4 4.511551 5 28.243002 6 4.529200 7 9.719007 8 7.083212 9 10.595014 dtype: float64 Your program returned: -0.9374788776407995 Expected return values: 0 -0.937479 1 0.262060 2 0.825794 3 -0.235429 4 -0.835441 5 2.381002 6 -0.833049 7 -0.129648 8 -0.486891 9 -0.010919 dtype: float64 The difference is 9.374788776407996. The Series did not match expected output. Test Failed: False != TrueWrite a function which returns “odd” or “even” for odd or even inputs, respectively. HINT: evenOrOdd(2) returns “even” and evenOrOdd (7) returns “odd”Define a function in loop_functions.py named count_collatz that takes a single paramater named a_0. This function takes a positive intenger a_0 and returns the minimum number of iterations required to find a term equal to 1. In other words, this function counts how many terms it takes to reach 1. Look at the list below for examples. You may use if statements but for and while loops are preferred.