I am using the program MATLAB. I need questions 3a and 3b answered. I have an idea of how to solve it but my code isn't running correctly.Engineering 6 Winter 2015

Homework 3

Due Monday, January 27

For this assignment,

Submit a solution for each of the assigned problems on the same MATLAB file (.m).

Also submit a published PDF with each problem and sub-problem broken up into its

own section. All solutions must be submitted via SmartSite.

Throughout the solution include comments that clearly explain what is being

defined/computed and the steps you are taking to solve the problem.

Problem 1

The Gaussian probabilistic distribution function can be described using the

following equation, where µ is the mean, ? is the standard deviation, and

therefore ?

2

is the variance:

a) First assume ?

= 0 and ? = 1. This distribution has is called a unit normal

distribution Using numerical integration, evaluate the probability of this

distribution from x = -1000 to x = 1000. This integration gives us the

Probability Density Function (PDF), or probability distribution over a certain

range of values.

b) Now re-evaluate using x = -1,000,000 to x = 1,000,000. Compare this

probability to what was obtained in part a.

c)

Now assume µ = 2 and ? = 2.25. Evaluate the probability

function from x = -

1000 to x = 1000.

d)

Similarly, re-evaluate the probability function from x = -1,000,000 to x =

1,000,000. Compare the probability of the expanded integration limits with

that of part c.

Hint: Probability should approach a constant value of 1, or all

possibilities.

e) If the limits of integration of finding the probability are expanded from -

? to

+?, what are the probabilities (of both µ = 0/? = 1 and µ = 2/? = 2.25).

Please

just give a conceptual answer (no code) in comments

. Explain your

answer

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