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STA642 Assignment 3 Solution and Discussion

STA642 - Probability Distributions

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Course Title Probability Distributions
Course Code STA642
Activity Assignment # 3
Submission Deadline Date: Tuesday, January 21, 2020
Time: 23:59 Hours (Midnight)

Instructions to attempt assignment:
• Take help from video lectures/PPTs/Recommended book
• For writing symbols, use MathType software. If you already did not download it, get it from here.
• Make your own attempt, any copy/past; cheating from other student/website may result in ZERO marks and/or assignment cancelation.

Question # 1:
Let the joint pdf of X1 and X2 be

Find marginal probability density function of X1
Find marginal probability density function of X2
Show that X1 and X2 are dependent / independent.

Question # 2:
A certain Binomial distribution is given by b(x; 5, 1/3).
What is the value of n?
What is the value of p?
What is the value of q?
Find the binomial probability for X = 0

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Ideas Solution 2:
#include<iostream> #include<fstream> #include<stdio.h> using namespace std; class Employee{ private: int code; char name[20]; float salary; public: void read(); void display(); int getEmpCode() { return code;} int getSalary() { return salary;} void updateSalary(float s) { salary=s;} }; void Employee::read(){ cout<<"Enter employee code: "; cin>>code; cout<<"Enter name: "; cin.ignore(1); cin.getline(name,20); cout<<"Enter salary: "; cin>>salary; } void Employee::display() { cout<<code<<" "<<name<<"\t"<<salary<<endl; } fstream file; void deleteExistingFile(){ remove("EMPLOYEE.DAT"); } void appendToFille(){ Employee x; x.read(); file.open("EMPLOYEE.DAT",ios::binary|ios::app); if(!file){ cout<<"ERROR IN CREATING FILE\n"; return; } file.write((char*)&x,sizeof(x)); file.close(); cout<<"Record added sucessfully.\n"; } void displayAll(){ Employee x; file.open("EMPLOYEE.DAT",ios::binary|ios::in); if(!file){ cout<<"ERROR IN OPENING FILE \n"; return; } while(file){ if(file.read((char*)&x,sizeof(x))) if(x.getSalary()>=10000 && x.getSalary()<=20000) x.display(); } file.close(); } void searchForRecord(){ Employee x; int c; int isFound=0; cout<<"Enter employee code: "; cin>>c; file.open("EMPLOYEE.DAT",ios::binary|ios::in); if(!file){ cout<<"ERROR IN OPENING FILE \n"; return; } while(file){ if(file.read((char*)&x,sizeof(x))){ if(x.getEmpCode()==c){ cout<<"RECORD FOUND\n"; x.display(); isFound=1; break; } } } if(isFound==0){ cout<<"Record not found!!!\n"; } file.close(); } void increaseSalary(){ Employee x; int c; int isFound=0; float sal; cout<<"enter employee code \n"; cin>>c; file.open("EMPLOYEE.DAT",ios::binary|ios::in); if(!file){ cout<<"ERROR IN OPENING FILE \n"; return; } while(file){ if(file.read((char*)&x,sizeof(x))){ if(x.getEmpCode()==c){ cout<<"Salary hike? "; cin>>sal; x.updateSalary(x.getSalary()+sal); isFound=1; break; } } } if(isFound==0){ cout<<"Record not found!!!\n"; } file.close(); cout<<"Salary updated successfully."<<endl; } void insertRecord(){ Employee x; Employee newEmp; newEmp.read(); fstream fin; file.open("EMPLOYEE.DAT",ios::binary|ios::in); fin.open("TEMP.DAT",ios::binary|ios::out); if(!file){ cout<<"Error in opening EMPLOYEE.DAT file!!!\n"; return; } if(!fin){ cout<<"Error in opening TEMP.DAT file!!!\n"; return; } while(file){ if(file.read((char*)&x,sizeof(x))){ if(x.getEmpCode()>newEmp.getEmpCode()){ fin.write((char*)&newEmp, sizeof(newEmp)); } fin.write((char*)&x, sizeof(x)); } } fin.close(); file.close(); rename("TEMP.DAT","EMPLOYEE.DAT"); remove("TEMP.DAT"); cout<<"Record inserted successfully."<<endl; } int main() { char ch; deleteExistingFile(); do{ int n; cout<<"ENTER CHOICE\n"<<"1.ADD AN EMPLOYEE\n"<<"2.DISPLAY\n"<<"3.SEARCH\n"<<"4.INCREASE SALARY\n"<<"5.INSERT RECORD\n"; cout<<"Make a choice: "; cin>>n; switch(n){ case 1: appendToFille(); break; case 2 : displayAll(); break; case 3: searchForRecord(); break; case 4: increaseSalary(); break; case 5: insertRecord(); break; default : cout<<"Invalid Choice\n"; } cout<<"Do you want to continue ? : "; cin>>ch; }while(ch=='Y'||ch=='y'); return 0; }
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