Quiz Space

Statistics for Data Science II · Quiz 1 · 15 Mar 2026 · January 2026 term

Question 10: A box contains one red ball and one blue ball. Two balls…

Question 10

+3 marksOne or more correct options

A box contains one red ball and one blue ball. Two balls are drawn one after another with replacement and the colour of each ball drawn is recorded. Let • A be the number of times a red ball is drawn in the two draws. • B be the number of times a blue ball is drawn in the two draws. Choose the correct statement(s) from the following.

Select all that apply.

  1. A

    The possible values of are {0, 1, 2}

  2. B

    The possible values of are {1, 2}

  3. C
    Figure from the original question paper
  4. D
    Figure from the original question paper
Show answer

Correct answers

  • A

    The possible values of are {0, 1, 2}

  • C
    Figure from the original question paper
See the whole paperTake it as a mock test

Question 10 of 26 in the IIT Madras BS Statistics for Data Science II (Stats 2) Quiz 1 paper sat on 15 Mar 2026, in the January 2026 term (Statistics2 15 Mar 26). It carries 3 marks.

More questions from this paper

  1. Q1Figure question
  2. Q2The number of people who make a reservation in a restaurant on a particular day is a random variable with mean equal to…
  3. Q3Let and be three random variables with Cov , Cov , Cov , Var Define the new random variables and . Find the value of Co…
  4. Q4At a bank, the time (in minutes) that a customer waits to be served is a continuous random variable with probability de…
  5. Q5A delivery company operates two independent service counters A and B. Let and denote the number of parcels processed by…
  6. Q6A delivery company operates two independent service counters A and B. Let and denote the number of parcels processed by…
  7. Q7A delivery company operates two independent service counters A and B. Let and denote the number of parcels processed by…
  8. Q8A delivery company operates two independent service counters A and B. Let and denote the number of parcels processed by…
  9. Q9A delivery company operates two independent service counters A and B. Let and denote the number of parcels processed by…
  10. Q11Which of the following option(s) is/are true?
  11. Q12Find the value of Var(2X)−3Var(Y ) + 4.
  12. Q13A small bookstore tracks the number of books sold in an hour. Let a discrete random variable denote the number of books…
  13. Q14A small bookstore tracks the number of books sold in an hour. Let a discrete random variable denote the number of books…
  14. Q15A fair coin is tossed three times. Let denote the number of heads in the first toss and be the total number of heads ob…
  15. Q16A fair coin is tossed three times. Let denote the number of heads in the first toss and be the total number of heads ob…
  16. Q17The joint PMF of two discrete random variables and is given as: Based on the above data, answer the given subquestions.…
  17. Q18The joint PMF of two discrete random variables and is given as: Based on the above data, answer the given subquestions.…
  18. Q19The amount of rainfall (in cm) on a randomly chosen rainy day in a city is a continuous random variable with cumulative…
  19. Q20The amount of rainfall (in cm) on a randomly chosen rainy day in a city is a continuous random variable with cumulative…
  20. Q21A delivery company operates two independent service counters A and B. Let and denote the number of parcels processed by…
  21. Q22The number of vehicles ( ) passing a signal in a day follows a Poisson distribution with parameter . Each vehicle indep…
  22. Q23A small bookstore tracks the number of books sold in an hour. Let a discrete random variable denote the number of books…
  23. Q24A fair coin is tossed three times. Let denote the number of heads in the first toss and be the total number of heads ob…
  24. Q25The joint PMF of two discrete random variables and is given as: Based on the above data, answer the given subquestions.
  25. Q26The amount of rainfall (in cm) on a randomly chosen rainy day in a city is a continuous random variable with cumulative…