= 4, W = 16, and we have the follo i 1 2 3 Pi $40 $30 F $50 1 U

3. Implement in python. Consider the sample size of N=25 drawn from a normal distribution with mean 50, and standard deviation of 2. Repeat the process 200 tines.  Draw the sampling distribution of sample mean. what is the mean of the sampling distribution of the sample mean and standard distribution of the sample mean? How do that compare with population mean and standard deviation.

Please answer the question in the screenshot. Please give reasoning.

Implement the problem below in Python using mpi4py. Submit the code of your program and a brief report. The report should describe the design of your program, and demonstrate the results of running your program. n-body solver. Implement a parallel n-body solver with n = 10 particles. You may randomly generate the masses, initial velocities, and initial positions of all particles at the beginning. Compute the positions of all particles after 1 second. Compare the results by using 0.1s, 0.01s, and 0.001s as the time in each timestep, respectively.