Write python code for all.

1. Using the Boston Maraton data (bm_results2012.csv, pasted below), write a Python program that will sample 5 racers official time using random sampling and plot a histogram of the sample.

name	city	gender	age	official	country
Masazumi Soejima	Fukuoka City	M	41	83.45	JPN
Gebregziabher Gebremariam	Tigray	M	27	142.93	ETH
Ernst F. Van Dyk	Paarl	M	39	84.38	RSA
Kurt H. Fearnley	Hamilton	M	31	81.65	AUS
Kota Hokinoue	Iizuka	M	38	83.43	JPN
Levy Matebo	Trans Nzoia	M	22	133.1	KEN
Sharon Cherop	Marakwet	F	28	151.83	KEN
Wilson Chebet	Marakwet	M	26	134.93	KEN
Joshua R. Cassidy	Toronto	M	27	78.42	CAN

2. 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.

3. 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.

4. 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 .

5. 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.