How to assign random normal values for each cell

I have a dataset based on a 5-point Likert scale. I want to transform each cell into a normal distribution value with pregiven mean and std. My code for now is as follows.

import random
Mu={1:0.021,2:0.146,3:0.375,4:0.625,5:0.979}
std={1:0.021,2:0.104,3:0.125,4:0.125,5:0.021}

#defining the random dictionary 
rnd={1:random.normalvariate(Mu[1], std[1]),
    2:random.normalvariate(Mu[2], std[2]),
    3:random.normalvariate(Mu[3], std[3]),
    4:random.normalvariate(Mu[4], std[4]),
    5:random.normalvariate(Mu[5], std[5])}

raw_data_rnd=raw_data.copy()

for col in raw_data_rnd.columns:
    raw_data_rnd[col].mask(raw_data_rnd[col]==1,random.normalvariate(Mu[1],std[1]),inplace=True)
    raw_data_rnd[col].mask(raw_data_rnd[col]==2,random.normalvariate(Mu[2],std[2]),inplace=True)
    raw_data_rnd[col].mask(raw_data_rnd[col]==3,random.normalvariate(Mu[3],std[3]),inplace=True)
    raw_data_rnd[col].mask(raw_data_rnd[col]==4,random.normalvariate(Mu[4],std[4]),inplace=True)
    raw_data_rnd[col].mask(raw_data_rnd[col]==5,random.normalvariate(Mu[5],std[5]),inplace=True)
raw_data_rnd

The code is working. However, it gives the same value for every cell where the condition is true. What I need is for the code to somehow loop the random value assignment and put a different value in each cell. In other words, for instance every time the dataframe has the value of 1, I need the code to assign a new random value.

Can anyone help, please?

I have tried several methods. However, I am still hitting deadends.