Statistics II

The Statistics II course offered by IIT Madras as a part of their BSc degree program is a continuation of the Statistics I Course. This course has Statistical concepts ranging from basics elementary statistics to the foundations of Data Science. The instructor Prof. Andrew Thangaraj gives a vivid description of the various statistical concepts with exemplary examples which makes the study of a difficult subject like Statistics, much more fun to students.

Week 0: Activity 4

Dated : 22nd of June, 2022

Google sheet with data collected thru a survey:

https://docs.google.com/spreadsheets/d/1gT49kYBgHIWkUi7BRCDtfuw9KcMJWDyHHT9Tx3LLCBU/edit?usp=sharing

Click here to view the document with the analysis.

E Acti 4

Survey Form (Responses)

Question:

Find the probability whether randomly selected 2 persons are female it given that both the person are vegetarian.

Solution : Let,

the random variable X assigned to the event Gender(Female) = 1

& the random variable X assigned to the event Gender(Male) = 0

Calculation by Probability theorem:

P(X=1) = 33/159 P(Vegetarian) = 68/159

P(X=0) = 125/159 P( (Vegetarian)' ) = 92/159

P( X =1 ∩ Vegetarian ) = 14/159

Now, P ( X = 1 | Vegetarian ) = P( X =1 ∩ Vegetarian ) / P(Vegetarian)

= ( 14 / 159 ) / ( 68 / 159 )

= 14 / 68

= 0.21588

Calculation by modeling distribution:

Now, let us check whether this follows the binomial distribution.

Let, p be the probability of success.

p = P( occurrence of selecting a female)

Here,

n =14;

p = 33/159

q = 125/159

x =2

Hence, P = ¹⁴C ₂X p ²X p ¹²

= 0.221

Hence, the random variable x (number of selecting female) follows the binomial distribution.

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Statistics II

Week 0: Activity 4

Question:

Rituparno DharGet in touch at 21f1000601@student.onlinedegree.iitm.ac.in

Rituparno Dhar
Get in touch at 21f1000601@student.onlinedegree.iitm.ac.in