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4.  ……….……................ is a branch of statistics that deals with the likelihood or chance of different outcomes occurring in a
                    given situation.
                  5.  ……….……................ events have a lower probability of occurring compared to other events.
                  6.  Certain events are guaranteed to happen and have a probability ……….……................ .

                  7.  ……….……................ helps in predicting long-term climate patterns and changes.
                  8.  ……….……................ the famous sequence starts with 0 and 1, and each subsequent number is the sum of the two preceding
                    numbers.

              C.  State whether the following statement is true or false.
                  1.  Calculus is essential for understanding the best possible solution algorithms
                    used in machine learning.                                                                   ……………

                  2.  Data is collected only from a single source.                                              ……………
                  3.  Conclusions and decisions can be made from the data.                                      ……………
                  4.  Probability helps create fair and accurate standardised tests.                            ……………

                  5.  Mean is used to determine the effectiveness of new treatments or drugs.                   ……………
                  6.  AI can see patterns only in numeric data types.                                           ……………
                  7.  Information theory provides mathematical tools for data analysis.                         ……………

                  8.  Statistical methods are used to analyse long-term climate data and detect trends related to
                    global warming and climate change.                                                          ……………


                                                SECTION B (Subjective Type Questions)
              A.  Short answer type questions.
                  1.  What is probability in statistics?
                Ans.  Probability is a branch of statistics that deals with the likelihood or chance of different outcomes occurring in a given
                    situation.
                  2.  How do you calculate probability?

                Ans.  The formula for probability is given as follows:
                                                       Number of Favourable Outcomes
                                              P(A) =
                                                      Total Number of Possible Outcomes


                  3.  Define the term "Statistics".
                Ans.  Statistics is used for collecting, exploring, and analysing the data. It also helps in drawing conclusions from data.
                  4.   Explain the use of statistics in disease prediction.
                Ans.  Statistics models can predict the spread and impact of diseases, helping in planning public health measures.
                  5.  What is an impossible event? Provide an example.
                Ans.  An impossible event has no chance of occurring, such as rolling a number greater than 6 on a fair six-sided die.

                  6.  Why is calculus important for AI models?
                Ans.  Calculus is crucial for training and improving AI models by understanding the best possible solution algorithms.
                  7.  What is an example of a certain event in probability?
                Ans.  The occurrence of sunrise and sunset each day is a certain event with a probability of 1.






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