Question

Consider below dataframe, df2, which provides the number of males and females in a population as well as their socio-economic breakdown. Provide python codes to calculate following probabilities:

• (2.a) For a randomly selected person from this population, probability of being female ("F")
• (2.b) For a randomly selected person from this population, probability of being working class ("working")
• (2.c) For a randomly selected person from this population, joint probability of being male ("M") and middle class ("middle")

df2 = pd.DataFrame({"M": [30,250,20], "F":[10,150,40]}, index=["upperMiddle", "middle", "working"])

df2

Answer 1

RAW CODE

import pandas as pd

df2 = pd.DataFrame({"M":[30,250,20],"F":[10,150,40]},index = ["UpperMiddle","middle","working"])

#randomly selected person from this population, probability of being female ("F")

total_females = df2.iloc[:,1].sum() ### female is at index 1 of column. (summing all the females present)
total_peoples = df2.iloc[:,0].sum() + df2.iloc[:,1].sum() ### Sum of total population

print("Probability of being female: ",total_females/total_peoples) ### Probability = favourable/total_outcomes

#randomly selected person from this population, probability of being working class ("working")

total_working_class = df2.iloc[2,:].sum() ### Working is at the index 2, we can also use -1 instead of 2 as it is last index.

print("Probability of being working class: ",total_working_class/total_peoples)

#randomly selected person from this population, joint probability of being male ("M") and middle class ("middle")

total_male_middle_class = df2.iloc[1,0] ### middle class row is at 1 index and  Male is at 0 index. (Just one value so no need of sum)

print("Probability of being middle class male: ",total_male_middle_class/total_peoples)

SCREENSHOTS (CODE AND OUTPUT)

CODE

OUTPUT

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