mathlab assignment, unit 4I have one assignment in Statistics that is very short. P-values, test hypothesis, null hypothesis, and a few others things are on there. It’s past due and it needs to get done asap.Matlab Assignment (By 11:59 pm Friday, Dec., 4th, 2020) – This is not a group project. This assignment is created as for the fulfillment of the ABET accreditation requirement on the proficiency on Probability and Statistics. Everything should be typed!!! No handwritten, Photocopied, Camera-ed material is allowed. Your Report (A single docx or pdf file)Should include 1. Objective. 2. Formula Setup for Part 1. 3. Screen shot of m file 4. Computation result 5. List of challenges that you had for the completion of the work – Explain the nature of challenges 6. List of topics in probability and statistics that you felt comfortable for this project. 7. List of topics in probability that you felt challenging for this project. 8. Conclusion You need to upload your .m files as well. PLEASE, ABSOLUTELY TYPE EVERTHING – EVEN MATH EQUATIONS. IF YOU HAVE TO DRAW A FIGURE, GENERATE A COMPUTER BASED FIGURE. Part 1. Setup Formula to find answers. Then, use Matlab to find them. 1. A random variable X has the density function f (x) = c/ (x 2 +1), where -∞< x <∞ . (a) Find the value of the constant c. (b) Find the probability that X 2 lies between 1 / 3 and 1. 2. Find the distribution function corresponding to the density function of Problem 1. 3. Find the probability of getting a total of 7 at least once in three tosses of a pair of fair dice. 4. Find the area under the standard normal curve shown in the picture below (a) between z = 0 and z = 1.2, (b) between z=-0.68 and z=0, (c) between z=-0.46 and z=2.21, (d) between z=0.81 and z=1.94, (e) to the right of z=-1.28. 5. The mean weight of 500 male students at a certain college is 151 lb and the standard deviation is 15 lb. Assuming that the weights are normally distributed, find how many students weigh (a) between 120 and 155 lb, (b) more than 185 lb. Part 2. Download “Project_Material_Results_to_be_recreated.pdf”. Replicate the result in the pdf file by using Matlab. Section 1. (Highlighted “As a first example”) a) Use Wz (power dissipated in the diode) to duplicate Fig – 28. b) Draw density functions for Vs and Wz based on the problem descriptions c) Use Matlab to evaluate E[Wz] d) Use Matlab to find the Minimum R value. Section 2. (Highlighted “As another Example”) a) Calculate R* (normal value of R), Rmin (Smallest R value), and Rmax (Largest R value). b) Compute Probability Pc with (1) given Gaussian probability density function fR(r) and (2) standard normal distribution function φ(.). Compare your result. Section 3. (Highlighted “The third Example”) a) Compute the quantity F(70) by using (2-54) b) Draw the Rayleigh’s density function f(s) in Fig 2-31 by using (2- 54) c) Compute the conditional expectation E[S|S>70]
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