Discuss the essentials of a contract of bailment and state the rights and duties of a bailee.

What are the rules regarding settlement of accounts of a firm after dissolution? Explain fully.

Explain the law related to ambiguous and inchnate instruments.

 "Insufficiency of consideration is immaterial, but a valid contract must be supported by lawful and real consideration." Comment.

Who are treated as persons of unsound mind? State the legal positions of contracts with such persons.

Derive the conditions of optimality for buying health insurance in cases of absence/presence of free riders.

Describe the concept of 'quasi markets' in the provisioning of public services.

Derive the results for the optimal use of renewable resources under the discrete and continuous time frames.

Specify the fundamental challenges of using the non-renewable resources optimally.

Explain how 'poverty' is not the sole determinant of malnutrition.

Discuss the significance of 'efficiency wage' in contributing to health and productivity of workers.

Discuss the various situations of 'market failure' leading to environmental degradation.

Explain the concept of decision trees in classification. Provide an example of building and visualizing a decision tree using R. How can K-means clustering be applied to a dataset in R?

 Describe the role of link analysis in the PageRank algorithm. How are links between web pages interpreted in the context of PageRank?

Define what a Data Stream Bloom Filter is and explain its primary purpose in data stream processing. Introduce the Flajolet-Martin Algorithm and its role in estimating the cardinality of a data stream.

How does collaborative filtering contribute to enhancing user experience and engagement in recommendation systems? Provide examples of industries or platforms where collaborative filtering is widely used.

Define NoSQL databases and explain the primary motivations behind their development. Provide examples of scenarios where each type of NoSQL database is suitable.

Explain the purpose of Apache Hive in the Hadoop ecosystem. How does Spark address limitations of the traditional MapReduce model?

Discuss the significance of the three Vs (Volume, Velocity, Variety) in the context of big data. Provide examples of each of the three Vs in real-world scenarios. How does MapReduce facilitate parallel processing of large datasets? Explain the functionality of the Map function in the MapReduce paradigm with the help of an example.

What is data preprocessing, and why is it a crucial step in the data science workflow? Why is it important to identify and handle outliers in a dataset during data preprocessing?