problem 8) Write a function that generates a list of random numbers from a normal distribution. Your function will have three parameters: mu the mean, sigma the standard deviation, n the number data. Make a 2 by 2 plot of histograms that illustrates how generated data will look more and more like a “bell curve" as the number n is increased. Your first plot should have n=10. The second should have n=100. The third should have n=1000. The fourth should have n=10000. The mean and standard deviation is the same in all four plots (your choice). You may also change the number of bins to make the plot look nicer.

problem 8) Write a function that generates a list of random numbers from a normal distribution. Your function will have three parameters: mu the mean, sigma the standard deviation, n the number data. Make a 2 by 2 plot of histograms that illustrates how generated data will look more and more like a “bell curve" as the number n is increased. Your first plot should have n=10. The second should have n=100. The third should have n=1000. The fourth should have n=10000. The mean and standard deviation is the same in all four plots (your choice). You may also change the number of bins to make the plot look nicer.

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter6: User-defined Functions

Section: Chapter Questions

Problem 17PE

See similar textbooks

Similar questions

Using R: Write a function simulatePlanes() that takes in as input a number of days and a logical value determining whether you want tothe plot or not. If you do not want to see the plot, have it return a vector of simulated plane counts for each day. If you would like to see the plot, have it return a list, the first element of which is the vector of simulated plane counts for each day, and the second element of which is a histogram.
Write a function ones_and_tens_digit_histogram(numbers) that takes as input a list of numbers and produces as output a list of 10 numbers. Each element of the result indicates the frequency with which that digit appeared in the ones place or the tens place in the input. here is an example call and result: Call: ones_and_tens_digit_histogram([0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765]) Return: [0.21428571428571427, 0.14285714285714285, 0.047619047619047616, 0.11904761904761904, 0.09523809523809523, 0.09523809523809523, 0.023809523809523808, 0.09523809523809523, 0.11904761904761904, 0.047619047619047616] In this example call, the index 1 of the list contains the element 0.14285714285714285 because the value 1 appears in 14.285714285714285% of the ones or tens digits of the given numbers. In a number that is less than 10, such as 3, the tens place is implicitly zero. That is 3 must be treated as 03. Your code should treat the tens digits…
Using C#; Below are words containing 9 meaningful words (for English) that can be formed from 9 different letters. list is given. Letter List: [a, b, c, d, e, g, m, r, t] List of Meaningful Words: [acre, care, bead, beat, race, came, beta, read, team, game] • All 4 letter words (meaningful and meaningless) and derive from these groups of letters with the meaningful words given above You are asked to type the function that finds matches. • All words in the list of meaningful words should be kept in a string after they are found. and the letter "a" should be replaced with the letter "e" for each element of this array. After replacement The words obtained should be displayed on the screen.
Language: C Write the function convolve that will calculate the confolution of two functions f, g on [0, t] interval. The convolution is defined as (f ∗ g)(t) = Z t 0 f(τ )g(t − τ ) dτ for f, g : [0, ∞) → R. The argument function f and g should be passed by pointers. The integral should be approximated by the Riemman sum, i.e., Z b a f(x) dx = Xn i=1 f(xi) ∆x, where ∆x = b−a n and xi = a + i ∆x. Define the functions func1, func2 and func3, that return sin(x), cos(x) and x 3 respectively. Use these functions to calculate the convolution of f = sin(x), g = sin(x) f = sin(x), g = cos(x) f = sin(x), g = x 3 for t = 2π and n = 1000.
-Python- Write a function get_letter_grade, such that when given * a lab grade score and * a list of the grade cutoffsreturns the letter grade of that score.Note: Your function automatically returns A for the values that are >= to the first cutoff-value in the list, then A- for the second cutoff-value, B+ for the third and so on. The function returns None for anything that's below the score for B-. You test that get_letter_grade(97, [93, 90, 87, 83, 80]) correctly returns an A, and get_letter_grade(93, [97, 90, 87, 83, 80]) returns A-. DO NOT hard-code the cutoffs, since they can change! You can copy/paste the following template: def get_letter_grade(score, cutoffs): if score ... : return 'A' ...: return 'A-' ...: return 'B+' ...: return 'B' ...: return 'B-'
In C program Write a function bracket_ by_len that takes a word as an input argument and returns the word bracketed to indicate its length. Words less than five characters long are bracketed with << >> , words five to ten letters long are bracketed with (* *) , and words over ten characters long are bracketed with /+ +/ . Your function should require the calling function to provide as the first argument, space for the result, and as the third argument, the amount of space available. Consider the expected results of these calls to the function.For example:bracket_ by_len(tmp, "insufficiently", 20)  "/+insufficiently+/"bracket_ by_len(tmp, "the", 20)  "<<the>>"
In Kotlin, Write a function that uses you work from the last two questions to identify all the Pythagorean triples whose sides and hypotenuse lengths are all integers between 1 and 20.
def rectangle_overlap(rect1_bl_x,rect1_bl_y, rect1_tr_x,rect1_tr_y, rect2_bl_x,rect2_bl_y, rect2_tr_x,rect2_tr_y): """ (int,int,int,int,int,int,int,int) -> str Function determines whether two rectangles overlap. When rectangles overlap, the function checks for the following scenarios 1. The two rectangles share the same coordinates 2. The first rectangle is contained within the second 3. The second rectangle is contained within the first 4. The rectangles have overlapping area, but neither is completely contained within the other Function inputs represent x and y coordinates of bottom left and top right corners of rectangles (see lab document) The function return one of the following strings corresponding to the scenario "no overlap" "identical coordinates" "rectangle 1 is contained within rectangle 2" "rectangle…
Write a function numRolls that simulates the following dice game: a player repeatedly rolls a pair ofdice until the second time that doubles is rolled. The function then returns the total number of rollsmade. For example, suppose the player rolls the following pairs: (3,2), (3,3), (1,5), (5,5). The game thenstops because the player has rolled doubles twice, (3,3) and (5,5). The function returns 4, the totalnumber of rolls made: Use python
Question Description Consider the following C function: long func(long x, long y, long z) { long ti = x + 3; long t2 - 2 + ti; long t3 - y + 5; long t4 = y = 33; long t5 - t3 + 14; long rval t2 + t5; return rval; } Show that the assembly code below is a correct translation of this program, by (a) giving an expres- sion for the value func() returns, and (b) filling in the table below the assembly code, showing the contents of each register in terms of x, y and z after each of the first six instructions is executed. The first row shows register contents before the first instruction. Remember that the sequence of assembly instructions may not correspond exactly to the C code, as the compiler may rearrange things to minimize the number of instructions and registers
Interesting, intersecting def squares_intersect(s1, s2): A square on the two-dimensional plane can be defined as a tuple (x, y, r) where (x, y) are the coordinates of its bottom left corner and r is the length of the side of the square. Given two squares as tuples (x1, y1, r1) and (x2, y2, r2), this function should determine whether these two squares intersect, that is, their areas have at least one point in common, even if that one point is merely the shared corner point when these two squares are placed kitty corner. This function should not contain any loops or list comprehensions of any kind, but should compute the result using only integer comparisons and conditional statements. This problem showcases an idea that comes up with some problems of this nature; it is actually far easier to determine that the two squares do not intersect, and negate that answer. Two squares do not intersect if one of them ends in the horizontal direction before the other one begins, or if the same…
Problem Statement: Consider an input string PAL of letters ‘P’, ‘A’, and ‘L’. This string, which is given by the user, ends with ‘#’. It should be stored in a table (or array), called PAL_TAB. The number of each of these letters is unknown. We have a function, called SWAP(PAL, i, j), which places the ith letter in the jth entry of string PAL and the jth letter in the ith entry of PAL. Note that SWAP(PAL, i, j) is defined for all integers i and j between 0 and length(PAL) – 1, where length(PAL) is the number of letters of PAL. 1. Using our algorithmic language, write an algorithm, called Sort_PAL, which sorts the letters in the array PAL_TAB in a way that all P’s appear first, followed by all A’s, and followed by all L’s. The algorithm Sort_PAL should have one parameter: The array PAL_TAB. Also, your solution is correct only if the four constraints below are satisfied: - Constraint 1: Each letter (‘A’, ‘L’, or ‘P’) is evaluated only once. - Constraint 2: The function SWAP(PAL, i, j) is…