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B. Long answer type questions.
1. “Statistics is used for collecting, exploring, and analysing the data.” Elaborate with the help of an example.
2. List any three uses of statistics in education.
3. Explain the concept of probability with the help of an example of a deck of 52 cards.
4. When discussing probability, we often rely on specific terms to describe the likelihood of events occurring. Explain any
one likelihood of an event with examples.
5. What role does probability play in estimating the traffic on the road? List any three with examples.
6. Identify the likely, unlikely, impossible and equal probability events from the following with proper explanation:
a. Tossing a coin b. Rolling an 8 on a standard die
c. Throwing ten 5’s in a row d. Drawing a card of any suite
7. Write any two examples of impossible and equal probability events.
8. Define certain events and likely events with examples.
#Problem Solving & Logical Reasoning
C. Competency-based/Application-based questions:
1. Imagine a student preparing for a math exam that covers five topics. Based on past exams and the instructor’s hints,
the student estimates the probability of each topic appearing on the exam as follows:
Topic A: 0.8
Topic B: 0.6
Topic C: 0.4
Topic D: 0.7
Topic E: 0.5
How will this help him in preparing for the exam to score good marks?
2. Let’s say a company wants to launch a new product—a smartphone—into the market. Before launching the product,
the company conducts market research to understand consumer preferences and potential demand for the new
smartphone. What role will the statistics play in smoothening this process?
3. Predicting earthquakes with precise accuracy is incredibly challenging due to the complex nature of seismic activity.
However, probability can still play an important role in this. Can you find a few of the important applications of
probability in predicting earthquakes?
4. Aman is confused, how probability theory is utilised in artificial intelligence, help Aman by providing two examples to
illustrate its importance.
In Life #Experiential Learning
Students are introduced to the concept of probability at a very early stage of life, it begins with a real life situation. For
example, flip a coin and ask what the chances are that it will come out heads. Or, place the coin in one hand, and put
both hands behind your back. Ask one student to guess which hand it is in.
Discuss your findings with your classmates, and illustrate some more examples from real life.
Deep Thinking #Creativity & Innovativeness
The adoption of AI in healthcare could save between 5% to 10%. AI in healthcare statistics shows that 90% of nursing
tasks will still be performed by humans in 2030.
Considering the above facts, create a report on which all tasks of nurse shall be taken over by AI.
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