Page 158 - Data Science class 10
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14.  A six-sided die is tossed three times. The probability of observing three ones in a row is _________________.
                  1                                                  1
              a.   3                                             b.  6
                  1                                                  1
              c.   27                                            d.  126


        B.  Fill in the blanks.
            1.  ____________________ is a mathematical approach that displays the likely values for a variable and how frequently they
              occur.
            2.  ____________________ is one of the main building blocks of data science and machine learning.
            3.  ____________________ refers to the data that accepts only particular values.

            4.  ____________________ refers to the data that can accept any value within a range.

            5.  ____________________ distribution is one of the simplest discrete probability distributions.
            6.  ____________________ distribution is a common probability distribution that models the probability of obtaining one of
              two outcomes under a given number of parameters.
            7.  ____________________ distribution is a probability distribution that is used to display the frequency of an event over a
              given time period.

            8.  Continuous distributions are defined by the Probability Density Functions (PDF) instead of ____________________.


             Standard Questions (Section B)

        A.  Short answer type questions:

            1.  What is distribution?
          Ans.  A distribution is a simple way to visualise a set of data. It can be shown either as a graph or in a list, revealing which
              values of a random variable have lower or higher chances of happening.

            2.  How does distribution assist us?
          Ans.  Distribution assists us in truly visualising what is going underneath, while the concept of probability provides the
              mathematical computations.

            3.  Write the names of two types of data.
          Ans.  Discrete and Continuous
            4.  What is discrete probability distribution? How is it expressed?
          Ans.  A discrete probability distribution is a distribution where observation can take only a finite number of values. It is
              expressed with a formula (Density Function) describing the shape of the distribution.
            5.  Mention the names of any two discrete probability distribution.
          Ans.  Bernoulli distribution and Binomial distribution
            6.  What is the formula to PMF of Bernoulli distribution?
          Ans.  The probability mass function or PMF of Bernoulli Distribution is given as
                      n
                P(n) = p  ×(1–p) 1–n
            7.  What is the use of Poisson distribution?
          Ans.  Poisson distribution is used to model count-based data like how many emails you receive in your mailbox in an hour or
              how many people enter a store in a day.
            8.  What do you mean by discrete uniform distribution?
          Ans.  According to statistics and probability theory, a statistical distribution where the probability of outcomes is equally
              likely and with finite values is called the discrete uniform distribution.
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