(7 What does this function do? SOURCE CODE 1. int T(int x, int y) 2. 3. int sum 0; 4. if (odd (x)) // odd (m) is true if and only 11
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- (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.A pentagonal number is defined as for and so on. So, the first few numbers are 1, 5, 12, 22, .... Write a function with the following header that returns a pentagonal number:def getPentagonalNumber(n):Write a test program that uses this function to display the first 100 pentagonal numbers with 10 numbers on each line.Computer Science This is an introductory exercise to the manipulation of random variables with Python as a language for scientific computing and numerical computation. You have: f(x) = Ae-0.1x)° 4 x*, 0Part (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…Write and test the “digit” function: Function Prototype: int digit(int n,int k)This function returns the kth digit of the positive integer n. For example, if n is the integer 29,415 that is entered by user , then the call digit(n,0) would return the digit 2, and the call digit(n,2) would returnthe digit 4. do this only by using functions and loops. arrays are not allowed. example :Input: n = 29415 , k = 1 output: 9 Input: n = 2 , k = 1 output: index out of bound (return -1)CodeW X bFor fun X C Solved x b Answer + x https://codeworko... CodeWorkout X265: Recursion Programmlng Exercise: GCD The greatest common divisor (GCD) for a pair of numbers is the largest positive integer that divides both numbers without remainder. For function GCD , write the missing base case condition and action. This function will compute the greatest common divisor of x and y.You can assume that x and y are both positive integers and that x > y. Greatest common divisor is computed as follows: = x and GCD(x, y) = GCD(y, x % y). Examples: GCD (6, 4) -> 2 Your An swer: 1 public int GCD(int x, int y) { if > { 2. > 3. } else { 4. return GCD(y, x % y); 9. { 7. 1:09 AM 50°F Clear 1V 1. 12/4/2021 甲please code in python Find the Error The following function takes in a positive integer and returns True if the integer is divisible by at least one integer between 2 and 7, inclusive, or False otherwise. Or at least, that’s what it’s supposed to do; there is a logic error that causes it to fail (for example, it should return True when passed in 15, but it returns False instead). Find the error and fix it. If you’re working in a pair, make sure that both of you are able to explain the error to your TA. Hints: As with most logic errors, the first thing you should do is put in print statements. Print out what i is at each step of the loop. At what point can you safely return False (that is, how many values of i do you have to check before you can be sure num isn't divisible by any of them)? def div27(num): for i in range(2,8): if num % i == 0: return True else: return Falsepython nMath: pentagonal numbers) A pentagonal number is defined as n(3n-1)/2 for n=1,2,..., and so on. So, the first few numbers are 1, 5, 12, 22, .... Write a function with the following header that returns a pentagonal number: def getPentagonalNumber(n): Write a test program that uses this function to display the first 100 pentagonal numbers with 10 numbers on each line.Write a recursive function that computes the sum of the digits in an integer. Use the following function header: def sumDigits(n):For example, sumDigits(234) returns Write a test program that prompts the user to enter an integer and displays its sum.Complete the code that returns the value of f(x), which has the value 1 inside the range -1 < x < 1 otherwise it is the value 0. { 1, х€[-1, 1] 0, otherwise f(x) = In [ ]: # complete the function to return the value of f(x) given x. # return as the value called variable "fval" def function_f(x): # your code here return fval***in python only*** use turtle function Define the concentricCircles function such that: It draws a series of concentric circles, where the first parameter specifies the radius of the outermost circle, and the second parameter specifies the number of circles to draw. The third and fourth parameters specify an outer color and an other color, respectively. The outer color is used for the largest (i.e., outermost) circle, and then every other circle out to the edge alternates between that color and the 'other' color. The difference between the radii of subsequent circles is always the same, and this difference is also equal to the radius of the smallest circle. Put another way: the distance between the inside and outside of each ring is the same. Define concentricCircles with 4 parameters Use def to define concentricCircles with 4 parameters Use any kind of loop Within the definition of concentricCircles with 4 parameters, use any kind of loop in at least one place. Call…Python only* Use recursive function*. Define concentricCircles with 4 parameters Use def to define concentricCircles with 4 parameters here is the specification for concentricCircles function: It draws a series of concentric circles, where the first parameter specifies the radius of the outermost circle, and the second parameter specifies the number of circles to draw. When viewed as nested rings, all rings should have the same thickness. The third and fourth parameters specify an outer color and an other color, respectively. The outer color is used for the outermost circle, and then every other circle in to the center alternates between that color and the other color. We will test both how many circles are drawn as well as whether the correct circles are drawn in the correct order. Hint: Each function call frame only needs to draw a single circle. Note that you must use the turtleBeads drawDot function to draw each circle Do not use any kind of loop Within the definition of…SEE MORE QUESTIONS