Statistics
Notes from IIT Madras online degree course - Statistics for Data Science I

## Part -1

### Aim

• Create, download, manipulate and analyze data sets.
• Describe data using numerical summaries and visual representations.
• Translate real word problems into probability models.
• Describe and apply the properties of the binomial distribution and normal distribution.
• Frame questions that can be answered from data in terms of variables and cases.
• Estimate chance by applying laws of probability.
• Calculate expectation and variance of a random variable.
Probability Model : A probability model is a mathematical representation of a random phenomenon. It is defined by its sample space, events within the sample space and probabilities associated with each events. - ref
Sample Space : The sample space S for a probability model is the set of all possible outcomes. -ref
Binomial distribution:
Normal distribution:
Variables and cases:
Laws of probability:
Expectation and variance of a random variable: