PLEASE PROVIDE THE CODE AND THE REPORT!! only use random.random$()$ function for number generation.

Your task is to conduct the following experiments in Python by filling in the provided skeleton code

and documenting your findings in a report. It is crucial to note that for random number generation, you

are ONLY permitted to use the random.random$()$ function. This function requires no parameters and

yields values uniformly distributed in the range of $0$ to $1$

Experiment $2$:

A random variable $x$ has the following cumulative distribution function: $F(x)=x^2,$ for $0x1.$

Part b:

In your code:

Create $30000$ samples of $x$ using the Rejection method. At each step, store the generated

variable $x$ and the updated average and variance of $x$ in the given arrays.

$2$ plots are already implemented. DO NOT change them $($Figures $15-16).$

Plot the average value of $x$ that you calculated throughout the experiment $($Figure $17).$

Plot the variance of $x$ that you calculated throughout the experiment $($Figure $18).$

In your report:

Inspect the existing plots and comment on them. What do Figure $15$ and Figure $16$ show?

Compare your results in $($a$)$ with the simulation outputs in Figures $17$ and $18.$