Write python code for all.

1. We know that the probability of snow days in the month of February of 1984 was 0.13452. Write a Python program to create a PMF of the binomial distribution of this data. Write the appropriate title, X and Y axis labels, legends and markers.

2. Write a python program to generate a PDF of a normally distributed function with the range from 10 to 45 with a standard deviation of 2.

3. Suppose we have a full deck of 52 cards, and one card is picked and put back into the deck, one more is picked and put back into the deck and one more is picked and put back into the deck. Write a Monte Carlo simulation where you run the simulation of this 3 card picks for 100 times. Calculate the probability of getting the face card (King, Queen, Jack) for each pick .

4. The rate of exponential decay of a radioactive element is 0.2321 per month. Write a python program to plot the distribution of the radiation for 15 years, if the initial radiation is 60 Ci.