Problem 3 In an experiment to monitor two calls the PMF of.pdf
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Problem 3) In an experiment to monitor two calls, the PMF of N, the number of voice calls, is PN(n )=0.20.70.10n=0n=1n=2otherwise a) Find E[N], the expected number of voice calls. b) Find E[N2], the second moment of N. c) Find Var[N], the variance of N. d) Find N, the standard deviation of N..
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![Problem 3) In an experiment to monitor two calls, the PMF of N, the number of voice calls, is PN(n
)=0.20.70.10n=0n=1n=2otherwise a) Find E[N], the expected number of voice calls. b) Find E[N2],
the second moment of N. c) Find Var[N], the variance of N. d) Find N, the standard deviation of N.](https://image.slidesharecdn.com/problem3inanexperimenttomonitortwocallsthepmfof-230320092239-8b0f3e22/85/Problem-3-In-an-experiment-to-monitor-two-calls-the-PMF-of-pdf-1-320.jpg)
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of the choices. PRORCEME Mr. Keys aas drivg wo work when he was he braadise by a car tat tas
trough the nod loht. When appeared as trouph he had a fracture in ine weinty of the Cc iatietra.
Gyen tis momptors, which of the tolowing ls most llenty? A. Mr. Keys' phinumotavle center had
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Problem How do you copy a file Analyze the problem and con.pdf
Problem: How do you copy a file?
Analyze the problem and consider alternate solutions:
Objective: reproduce a file.
Elements: (output) newfile, (input) oldfile
Relations: copy,reproduce, create a copy, photocopy, ...
Algorithm:
?
1
2
3
4
5
6
7
8
9
10
11
12
determine which file to copy from
find the oldfile
if cannot find oldfile, ???? else continue
determine which file to copy to
find the newfile
if newfile exists, ????? else continue
prepare (open) oldfile
prepare (open) newfile
transfer data from oldfile to newfile
put away (close) oldfile
put away (close) newfile
display the outcome
Note that our pseudocode is generic enough to follow a manual or a computerized process.
To construct a solution in the bash environment, we need to do some preparations:
1. Create a file for each script (do not get into the habit of just adding to the same file - one
solution, one file). For each variation (version), copy the current file to a file that identifies the
version. For example:
~$ mkdir bin
~$ cd bin
~/bin$ vi copy
.
.
.
~/bin$ cp copy copy.verA
~/bin$ vi copy
.
.
.
~/bin$ cp copy copy.verB
...and so on.
2. In your ~/bin directory (as demonstrated above), create a file called "copy", enter the code as
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Identify other relevant information.
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Explore the implications of ambiguities when analysing a problem.
Consider the impact of alternative solutions on various types of users.
Plan and document how to test potential solutions.
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1 determine which file to copy from
2 find the oldfile
3 if cannot find oldfile, ???? else continue
4 determine which file to copy to
5 find the newfile
6 if newfile exists, ????? else continue
7 prepare (open) oldfile
8 prepare (open) newfile
9 transfer data from oldfile to newfile
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11 put away (close) newfile
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Problem 8T2 The code below attached to the Lab 7 is tem.pdf
Problem 8(T2). The code below (attached to the Lab 7) is template code with some missing to be
filled in
Fill in the code to perform move along the circular trajectory CCW and CW by right and left click
respectively, according to the figure shown in solutions section:
#include <windows.h> #include <stdlib.h> #include <GL/glut.h> #include <math.h> #include
<string.h>
bool start = false;
GLint wx=400;
GLint wy=400;
GLfloat Size=30;
GLfloat Color[]= {1,0,1,0}; bool decrease=true;
//big circle
float angle=0;
float Rbig=wx/5;
float xc=wx/2, yc=wy/2;
float Xbig=xc+Rbig*cos(angle);
float Ybig=yc+Rbig*cos(angle);
void output_Text(float x, float y, char *text) {
int len, i;
glColor3f(1, 0, 0); //red text glRasterPos3f(x, y, 0);
len = (int)strlen(text);
for (i = 0; i < len; i++)
{
glutBitmapCharacter(GLUT_BITMAP_8_BY_13, text[i]); }
}
void draw_Circle(GLfloat X, GLfloat Y, GLfloat size) {
double x,y,t;
glBegin (GL_POLYGON); for (t=0; t<=2*M_PI; {
x=X+size*cos(t); y=Y+size*sin(t); glVertex2d(x,y);
}
glEnd(); }
void Change_Position() {
//Your Code Here }
void Draw_Big() {
t+=0.01)
double x,y,t;
glBegin (GL_LINE_LOOP);
for (t=0; t<=2*M_PI; t+=0.01) {
x=xc+Rbig*cos(t); y=yc+Rbig*sin(t); glVertex2d(x,y);
}
glEnd(); }
void myDisplay(void) {
glClear(GL_COLOR_BUFFER_BIT);
glColor4fv(Color);
Draw_Big();
Change_Position();
draw_Circle(Xbig,Ybig,Size/2);
output_Text(5,20,"Right click to rotate the ball CW"); output_Text(5,40,"Left click to rotate the ball
CCW"); glutSwapBuffers();
}
void mouse(GLint button, GLint state, GLint x, GLint y) {
//Your Code Here
myDisplay(); }
void resize(int w, int h) {
glClear(GL_COLOR_BUFFER_BIT); glMatrixMode(GL_PROJECTION); glViewport(0, 0, w, h);
glLoadIdentity();
gluOrtho2D(0.0, 1.0*w, 0.0, 1.0*h); wx=w;
wy=h; }
void myInit(void)
Lab 7, Computer Graphics with Applications 2022
1
{
glClearColor(1, 1, 1, 0);
glColor4fv(Color);
glMatrixMode(GL_PROJECTION);
glLoadIdentity( );
gluOrtho2D(0.0, wx, 0.0, wy); // set the word coordinate system
}
int main(int argc, char** argv) {
glutInit(&argc, argv); glutInitDisplayMode(GLUT_DOUBLE | GLUT_RGB); glutInitWindowSize(wx,
wy); glutInitWindowPosition(0, 0); glutCreateWindow("problem 8 solution"); myInit();
glutDisplayFunc(myDisplay); glutReshapeFunc(resize); glutMouseFunc(mouse);
glutMainLoop();
}
Problem 8(T2). The code below (attached to the Lab 7) is template code with some missing to be
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Fill in the code to perform move along the circular trajectory CCW and CW by right and left click
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#include <windows.h> #include <stdlib.h> #include <GL/glut.h> #include <math.h> #include
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bool start = false;
GLint wx=400;
GLint wy=400;
GLfloat Size=30;
GLfloat Color[]= {1,0,1,0}; bool decrease=true;
//big circle
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float Rbig=wx/5;
float xc=wx/2, yc=wy/2;
float Xbig=xc+Rbig*cos(angle);
float Ybig=yc+Rbig*cos(angle);
void output_Text(float x, float y, char *text) {
int len, i;
glColor3f(1, 0, 0); //red text glR.
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Problem How do you copy a file Analyze the problem and con.pdf
Problem: How do you copy a file?
Analyze the problem and consider alternate solutions:
Objective: reproduce a file.
Elements: (output) newfile, (input) oldfile
Relations: copy,reproduce, create a copy, photocopy, ...
Algorithm:
?
1
2
3
4
5
6
7
8
9
10
11
12
determine which file to copy from
find the oldfile
if cannot find oldfile, ???? else continue
determine which file to copy to
find the newfile
if newfile exists, ????? else continue
prepare (open) oldfile
prepare (open) newfile
transfer data from oldfile to newfile
put away (close) oldfile
put away (close) newfile
display the outcome
Note that our pseudocode is generic enough to follow a manual or a computerized process.
To construct a solution in the bash environment, we need to do some preparations:
1. Create a file for each script (do not get into the habit of just adding to the same file - one
solution, one file). For each variation (version), copy the current file to a file that identifies the
version. For example:
~$ mkdir bin
~$ cd bin
~/bin$ vi copy
.
.
.
~/bin$ cp copy copy.verA
~/bin$ vi copy
.
.
.
~/bin$ cp copy copy.verB
...and so on.
2. In your ~/bin directory (as demonstrated above), create a file called "copy", enter the code as
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~/bin$ chmod 705 copy
3. Learn more about bash shell by examining the manual page: man bash
Let's return to the problem. From modelling example solutions, a number of questions should
come to mind, such as
What is a file? regular file? directory? special file?
Where do these values come from? are they chosen arbitrarily, by the user, by another program?
Identify other relevant information.
Identify and describe uncertainties about the interpretation of the problem.
Let's examine what happens to our solution as we make different assumptions about the problem
Stop and analyze:
Explore other alternatives and related assumptions.
Explore the implications of ambiguities when analysing a problem.
Consider the impact of alternative solutions on various types of users.
Plan and document how to test potential solutions.
Recognize and control your own biases when choosing a solution.
1 determine which file to copy from
2 find the oldfile
3 if cannot find oldfile, ???? else continue
4 determine which file to copy to
5 find the newfile
6 if newfile exists, ????? else continue
7 prepare (open) oldfile
8 prepare (open) newfile
9 transfer data from oldfile to newfile
10 put away (close) oldfile
11 put away (close) newfile
12 display the outcome
Version A: ....the first version is incomplete, yet provides a wealth of information that we address
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Problem: AIFS is thinking about hedging -risk of hotel bookings for US students travelling to EU.
Assume they plan for 25,000 students and need 1000/student. Financials assume $1.22/ , and are
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Provide calculation data, and graph the P&L assuming this exchange rate varies from $1.01/ to
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Repeat Part a assuming 100% hedge with forward contracts (specify long or short), when the
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Repeat Part a, assuming 100% hedge with options (specify puts or calls, long or short), with a
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and the description must change every time a user changes its drink choice. 2) Replace
CheckBoxes so that the user can select the add in a ListViow and display pictures of the selected
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filled in
Fill in the code to perform move along the circular trajectory CCW and CW by right and left click
respectively, according to the figure shown in solutions section:
#include <windows.h> #include <stdlib.h> #include <GL/glut.h> #include <math.h> #include
<string.h>
bool start = false;
GLint wx=400;
GLint wy=400;
GLfloat Size=30;
GLfloat Color[]= {1,0,1,0}; bool decrease=true;
//big circle
float angle=0;
float Rbig=wx/5;
float xc=wx/2, yc=wy/2;
float Xbig=xc+Rbig*cos(angle);
float Ybig=yc+Rbig*cos(angle);
void output_Text(float x, float y, char *text) {
int len, i;
glColor3f(1, 0, 0); //red text glRasterPos3f(x, y, 0);
len = (int)strlen(text);
for (i = 0; i < len; i++)
{
glutBitmapCharacter(GLUT_BITMAP_8_BY_13, text[i]); }
}
void draw_Circle(GLfloat X, GLfloat Y, GLfloat size) {
double x,y,t;
glBegin (GL_POLYGON); for (t=0; t<=2*M_PI; {
x=X+size*cos(t); y=Y+size*sin(t); glVertex2d(x,y);
}
glEnd(); }
void Change_Position() {
//Your Code Here }
void Draw_Big() {
t+=0.01)
double x,y,t;
glBegin (GL_LINE_LOOP);
for (t=0; t<=2*M_PI; t+=0.01) {
x=xc+Rbig*cos(t); y=yc+Rbig*sin(t); glVertex2d(x,y);
}
glEnd(); }
void myDisplay(void) {
glClear(GL_COLOR_BUFFER_BIT);
glColor4fv(Color);
Draw_Big();
Change_Position();
draw_Circle(Xbig,Ybig,Size/2);
output_Text(5,20,"Right click to rotate the ball CW"); output_Text(5,40,"Left click to rotate the ball
CCW"); glutSwapBuffers();
}
void mouse(GLint button, GLint state, GLint x, GLint y) {
//Your Code Here
myDisplay(); }
void resize(int w, int h) {
glClear(GL_COLOR_BUFFER_BIT); glMatrixMode(GL_PROJECTION); glViewport(0, 0, w, h);
glLoadIdentity();
gluOrtho2D(0.0, 1.0*w, 0.0, 1.0*h); wx=w;
wy=h; }
void myInit(void)
Lab 7, Computer Graphics with Applications 2022
1
{
glClearColor(1, 1, 1, 0);
glColor4fv(Color);
glMatrixMode(GL_PROJECTION);
glLoadIdentity( );
gluOrtho2D(0.0, wx, 0.0, wy); // set the word coordinate system
}
int main(int argc, char** argv) {
glutInit(&argc, argv); glutInitDisplayMode(GLUT_DOUBLE | GLUT_RGB); glutInitWindowSize(wx,
wy); glutInitWindowPosition(0, 0); glutCreateWindow("problem 8 solution"); myInit();
glutDisplayFunc(myDisplay); glutReshapeFunc(resize); glutMouseFunc(mouse);
glutMainLoop();
}
Problem 8(T2). The code below (attached to the Lab 7) is template code with some missing to be
filled in
Fill in the code to perform move along the circular trajectory CCW and CW by right and left click
respectively, according to the figure shown in solutions section:
#include <windows.h> #include <stdlib.h> #include <GL/glut.h> #include <math.h> #include
<string.h>
bool start = false;
GLint wx=400;
GLint wy=400;
GLfloat Size=30;
GLfloat Color[]= {1,0,1,0}; bool decrease=true;
//big circle
float angle=0;
float Rbig=wx/5;
float xc=wx/2, yc=wy/2;
float Xbig=xc+Rbig*cos(angle);
float Ybig=yc+Rbig*cos(angle);
void output_Text(float x, float y, char *text) {
int len, i;
glColor3f(1, 0, 0); //red text glR.
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Year 2017: Return on stock X (18%); Return on stock Y (15%)
Year 2018: Return on stock X (7%); Return on stock Y (13%)
Year 2019: Return on stock X (22%); Return on stock Y (28%)
Year 2020: Return on stock X (8%); Return on stock Y (9%)
Year 2021: Return on stock X (-4%); Return on stock Y (-8%)
Year 2022: Return on stock X (14%); Return on stock Y (12%)
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Year 2015: Return (-12%)
Year 2016: Return (3%)
Year 2017: Return (18%)
Year 2018: Return (7%)
Year 2019: Return (22%)
Year 2020: Return (8%)
Year 2021: Return (-4%)
Year 2022: Return (14%)
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between the two lines). Break the problem into two cases: (1) Case 1: LD (10 points) (2) Case 2: L
>D(10 points).
Problem 4 Budgeting Time for Chilling Consider the followin.pdf
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male, all F1 were wild type for all three characters. The testcross of an F1 female with a dumpy,
black, hooked male gave the following results: a) Determine which gene is in the middle. b)
Construct a genetic map of the linkage group (or groups) these genes occupy. If applicable, show
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Year 2017: Return on stock X (18%); Return on stock Y (15%)
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Year 2016: Return (3%)
Year 2017: Return (18%)
Year 2018: Return (7%)
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