I was able to do part $1,$ but not parts $2,3,4.$ The answers of actual should match with expected, but mine don't match with my professor's answers. Thank you.

Part $2$:

Write a program that uses the randFloat function given above to generate two

sequences of $500$ points. Each sequence should have a theoretical mean of $4,$ but one

sequence should have a variance of $0\mathrm{.}5$ and the other should have a variance of $2.$ Check

the computed means and variances and compare to the theoretical means and variances.

$($Hint: Use the two given equations to write two equations with two unknowns. Then solve

for the unknowns by hand.$)$

The practical and theoretical values for each sequence should be output as in Exercise $1.$

Part $3$:

Write a program that uses the randFloat function to generate two sequences

of $500$ points. Each sequence should have the same variance of $3\mathrm{.}0$ but one sequence

should have a mean of $0\mathrm{.}0$ and the other should have a mean of $-4\mathrm{.}0.$ Compare the

computed and theoretical values of mean and variance.

$($Hint: Use the two given equations to write two equations with two unknowns. Then

solve for the unknowns by hand.$)$

There should be no user input for this section

The output should contain the theoretical and practical values as in part $1$ for both

sequences.

Part $4$:

Write a function named rand$\_$mv that generates a random floating$-$point

value. rand$\_$mv should take in a user specified mean and variance. Assume the

corresponding function prototype is

double rand mv$($double mean, double var$)$;

rand$\_$mv$()$ should then calculate A and B$,$ and generate a random value using

randFloat $($ a$,$b $)$

The main function will provide two prompts, the first asking for the desired mean from the

user.

Note: The values denoted as x$.$xx represent a value of type float in all cases.

It is not a number formatted specifically as X$.$XX So if the output is $4\mathrm{.}99999$ it should

remain $4\mathrm{.}99999$ and not be formatted to look like $4\mathrm{.}99```$

Input:

$4$

$0\mathrm{.}25$

$\backslash$ Actual $\{$

fail

Test $2$

Input:

$5$

$0\mathrm{.}65$

fail

Score

$0/2$

$```$