Write a C++ program that inputs a sequence of integers into a vector, computes the average, and then outputs the # of input values, the average, and the values themselves. There are 0 or more inputs values, followed by a negative value as the sentinel; the negative value is not stored and not counted. The following sample input:

10
20
0
99
-1

would produce the following output:

N: 4
Avg: 32.25
10
20
0
99

The main program has been written for you, your job is to implement the two functions InputData and GetAverage. See the comments in the "student.cpp" file for specific implementation details.

main.cpp

#include <iostream>
#include <vector>

using namespace std;

// functions from student.cpp:
int InputData(vector<int>& V);
double GetAverage(vector<int> V, int N);

int main()
{
// assume at most 100 inputs:
vector<int> inputs(100);
int N;
double avg;

N = InputData(inputs);
avg = GetAverage(inputs, N);

cout << "N: " << N << endl;
cout << "Avg: " << avg << endl;

for (int i = 0; i < N; ++i)
{
cout << inputs.at(i) << endl;
}

return 0;
}

student.cpp

int InputData(vector<int>& V)
{

// TODO
  
return 0;
}

//
// GetAverage
//
// Returns the average of the first N values in the vector; if N is 0 then
// 0.0 is returned.
//
double GetAverage(vector<int> V, int N)
{

// TODO

return 0.0;
}

Consider a concentration cell. Two Ag-electrodes are immersed in AgNO3 solutions of different concentrations. When the two compartments have an AgNO3-concentration of 1 M and 0.1 M, respectively, the measured voltage is 0.065 V (note: T in not necessarily = 25°C !).

a. What is the voltage, if the two compartments have AgNO3-concentration of 1 M and 0.01 M, respectively?

The electrochemical behavior of silver nanoclusters (Agn, with n the number of Ag atoms in the cluster) is investigated using the following electrochemical cells at 298 K:
I. Ag(s) | AgCl (saturated) || Ag+(aq, 0.01M) | Ag(s), E=0.170
II. (Pt electrode) Agn (s, nanocluster) | Ag+(aq, 0.01M) || AgCl (saturated) | Ag(s), with E = +1.030 V for Ag5 nanocluster and E = +0.430 V for Ag10 nanocluster

The standard reduction potential for Ag+ + e- → Ag, is E0 = +0.800 V.

b. Use this data to calculate the solubility product of AgCl.

The two nanoclusters Ag5 and Ag10-nanoclusters have standard potentials different from the potential of metallic bulk silver.

c. Calculate the standard potentials of Ag5 and of Ag10 nanoclusters. [for this part use Ksp(AgCl)=1.800·10-5; this is not the same value as calculated in b.]

d. What happens, if you put the Ag10 nanoclusters and – in a second experiment – the Ag5 nanoclusters into an aqueous solution of pH=5? Estimate the consequences using the reduction potentials you calculated.

Create a new Python program (you choose the filename) that contains a main function and another function named change_list. Refer to the SAMPLE OUTPUT after reading the following requirements.

In the main function:

• create an empty list.
• use a for loop to add 12 random integers, all ranging from 50 to 100, to the list.
• use second for loop to iterate over the list and display all elements on one line separated by a single space.
• display the 4th element, the element at index 9, and the smallest element.
• call the change_list function with your list as its sole argument.

In the change_list function:

• use a slice to make a new list from the list that was passed into this function. The new list should hold the middle 6 elements of the list that was passed in. NOTE: you must accomplish this step with a slice.
• use a function to determine the size of the new list. Print the size.
• sort the new list in ascending order and return the sorted list to main.

Back in the main function:

• assign the list returned by change_list to a new list.
• use another for loop to iterate over this returned list and display all elements on one line, separated by a single space.

SAMPLE OUTPUT
Here is the list of random integers...
99 66 57 81 75 59 58 74 56 90 75 65
The 4th element in the list is 81
The element at index 9 is 90
The smallest element in the list is 56
The size of the list is now 6
change_list returned this sorted list...
56 58 59 74 75 81

Assume the population mean IQ is 100 with a standard deviation of 15. A sample of 25 students recently took an IQ test in which their average score was 108. If another sample of 25 students was selected, what is the probability that that sample would have a mean greater than 108?

Show the effect of each of the following events on the market for labor in the computer

manufacturing industry.

a. Congress buys personal computers for all U.S. college students

b. More college students major in engineering and computer science

c. Computer firms build new manufacturing plants

The Mathematics test scores for BEKM students were analyzed and stored in a file. Assuming the scores are normally distributed. Knowing that 20% of the mean scores were above 70 and 15% of the mean scores were below 40, find their mean and standard deviation of the test scores for the students

Suppose that distribution of the mid-term grades of the entire classes in the College follows N(78,36).

(a) What is the proportion of students who received the grades less than 75?

(b) Suppose that there is a class with 50 students. What is the probability that the average grades of this class is less than 75?

According to the national center of education statistics, 67% of Texas students are eligible to receive free or reduced-price lunches. Suppose you randomly choose 310 Texas Students. Find the probability that no more than 73% of them are eligible to receive free or reduced-price lunches.

According to the National Center for Education Statistics, 69% of Texas students are eligible to receive free or reduced-price lunches. Suppose you randomly choose 285 Texas students. Find the probability that no more than 73% of them are eligible to receive free or reduced-price lunches.