Data Extraction and Standardization

The data file 'gene$\_$expression.txt$\text{'}$ gives a table of gene expression values of genes in $5$ replicates from an RNA$-$seq experiment. Each line of the file gives expression values for one gene.

a$/$ Write a Python script that reads the file, standardizes the expression values and saves them in a new file.

a$.$ Write a function for standardization, it should take a list of numbers and return their standardized values as a tuple or list.

b$.$ Call the function for each gene in your script, save the standardized values as a table in your output file.

$($Standardization means converting an X variable distributed with normal distribution into $z-$value, which is distributed by standard normal distribution. The formula is as follows:

$z[i]=\frac{x[i]-\text{m}\text{e}\text{a}\text{n}\text{x}}{s}tdx$

You can calculate mean and std of a gene by using:

import numpy as np

$x=[x0,x1,x2,x3,x4,x5]$#$x0$dotsx$5$ are expression values of a gene

mean $x=np.$mean$(x)$

$stdx=np*std(x)$