Statisticians use the concepts of mean and standard deviation to describe a collection of numbers. The mean is the average value of the numbers and the standard deviation measures the spread or dispersal of the numbers about the mean. The formally, if X1, X2, X3, .., Xn is a collection of numbers then the mean is:
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- Correct answer will be upvoted else Multiple Downvoted. Computer science. There are n+2 towns situated on an arrange line, numbered from 0 to n+1. The I-th town is situated at the point I. You fabricate a radio pinnacle in every one of the towns 1,2,… ,n with likelihood 12 (these occasions are autonomous). From that point forward, you need to set the sign power on each pinnacle to some integer from 1 to n (signal powers are not really the equivalent, yet in addition not really unique). The sign from a pinnacle situated in a town I with signal power p arrives at each city c to such an extent that |c−i|<p. Subsequent to building the pinnacles, you need to pick signal powers so that: towns 0 and n+1 don't get any transmission from the radio pinnacles; towns 1,2,… ,n get signal from precisely one radio pinnacle each. For instance, if n=5, and you have assembled the pinnacles in towns 2, 4 and 5, you might set the sign force of the pinnacle around 2 to 2, and the sign…For all positive numbers aaand bbwith a>ba>b, ln(a−b)=ln(a)/ln(b)ln(a−b)=ln(a)/ln(b) True or falseIn R-Studio Problem 2. Find a large set of integers (with at least 10000 observations) representing a sample drawn from real life (i.e., do not generate the numbers using some random number generator). First, explain what the integers correspond to in real life. Then, investigate the distribution of the integers, and also the first and last digits of the integers in this sample (For example, if the data has [34 65], plot the distribution of these numbers and also distribution of [3,6] and [4 ,5] separately). Does any of these digits follow a uniform distribution? Is this expected? If one of them does not follow a uniform distribution, what distribution does it follow? Can you explain why? [You can analyze the image age dataset provided by IMDB Wiki, which contains the ages of actors and actresses whose photos are present in the IMDB database. The data contains 459868 age values in years, ranging from 1 to 99 years.]
- Correct answer will be upvoted else downvoted. Computer science. Polycarp recalled the 2020-th year, and he is content with the appearance of the new 2021-th year. To recall such a great second, Polycarp needs to address the number n as the amount of a specific number of 2020 and a specific number of 2021. For instance, if: n=4041, then, at that point, the number n can be addressed as the total 2020+2021; n=4042, then, at that point, the number n can be addressed as the total 2021+2021; n=8081, then, at that point, the number n can be addressed as the total 2020+2020+2020+2021; n=8079, then, at that point, the number n can't be addressed as the amount of the numbers 2020 and 2021. Assist Polycarp with seeing if the number n can be addressed as the amount of a specific number of numbers 2020 and a specific number of numbers 2021. Input The primary line contains one integer t (1≤t≤104) — the number of experiments. Then, at that point, t experiments follow.…Correct answer will be upvoted else downvoted. Computer science. You are provided a program with that comprises of n directions. At first a solitary variable x is doled out to 0. A while later, the guidelines are of two kinds: increment x by 1; decline x by 1. You are given m inquiries of the accompanying organization: question l r — what number of particular qualities is x appointed to if every one of the directions between the l-th one and the r-th one comprehensive are disregarded and the rest are executed without changing the request? Input The primary line contains a solitary integer t (1≤t≤1000) — the number of testcases. Then, at that point, the depiction of t testcases follows. The main line of each testcase contains two integers n and m (1≤n,m≤2⋅105) — the number of directions in the program and the number of questions. The second line of each testcase contains a program — a line of n characters: each character is either '+' or '- ' — addition and…the logit function(given as l(x)) is the log of odds function. what could be the range of logit function in the domain x=[0,1]?
- Given A = {1,2,3} and B={u,v}, determine. a. A X B b. B X BSuppose that the grading of x University courses is as follows:• Each student can get grades between 0 and 100.• If the student's grade is less than 40, the student is informed that the course failed (Unsuccessful).• If the student's grade is higher than 40,o The difference between the student's current grade and the number that is a multiple of 5 higher than the closest to his / her grade is less than 3.If it is lower, the student's grade is equal to the 5 fold higher than the closest one.o If the difference is 3 or more than 3, no change is made in the grade of the student.In this context, the updated grades of the students are calculated according to the entered student gradesWrite the Java code showing.ü Define the section to be calculated as Java object ("Question1").ü Question1; Take the note string as input.public Question1 (int [] input)ü Print out the updated notes as a series after the calculation is madeo public int [] gradingStudents ()Code sample:public class Question1…Considering the function f(x) = x – cos(x), what is the value of x7 after performing fixed point iteration. Assume an initial guess of 1. Use the equation form that will seem fit according to the choices provided.Group of answer choices 0.72210 0.71537 0.76396 0.72236
- Correct answer will be upvoted else downvoted. Computer science. You are given three positive (more prominent than nothing) integers c, d and x. You need to track down the number of sets of positive integers (a,b) with the end goal that balance c⋅lcm(a,b)−d⋅gcd(a,b)=x holds. Where lcm(a,b) is the most un-normal various of an and b and gcd(a,b) is the best normal divisor of an and b. Input The primary line contains one integer t (1≤t≤104) — the number of experiments. Each experiment comprises of one line containing three integer c, d and x (1≤c,d,x≤107). Output For each experiment, print one integer — the number of sets (a,b) to such an extent that the above uniformity holds.Evaluation of Polynomial Function A polynomial of degree n is a function of the form f(x) = anx" + an-1x"-1 +...+ azx2 + a1x + ao where the as are real numbers (sometimes called the coefficients of the polynomial). Although this general formula might look quite complicated, particular examples are much simpler. For example, f(x) = 4x3 – 3x² + 2 %3D is a polynomial of degree 3, as 3 is the highest power of x in the formula. This is called a cubic polynomial, or just cubic.Equation: u_t − (x^2)u_xx = 0 (t, x) ∈ (0,∞) × (0, 5),u(t = 0, x) = 0 for all x,u(t, x = 0) = 100 , u(t, x = 5) = 50. Programing on Matlab solving numerically the problem and Estimate the errors.