The IIT Madras BS Statistics for Data Science I (Stats 1) Quiz 1 paper sat on 11 Jul 2021, in the May 2021 term, set POD21QZBQPB: 12 questions for 25 marks in 120 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.
In a bin, there are 15 red balls, 10 blue balls, and 15 green balls. If two balls are picked randomly from the bin without replacement, what is the probability that the second ball picked is not a green ball?
NOTE: Enter your answer in three decimal places.
Correct answer: 0.625 (accepted within ±0.002)
If a six digit number is randomly picked, what is the probability that it is a palindrome? A number is called a palindrome if the number does not change on reversing the digits. Enter the answer correct to three decimal places.
Correct answer: 0.001
NOTE: Enter your answer in one decimal place.
Correct answer: 0.3
In an office, there are 30 male employees and 50 female employees excluding the manager. The manager wants to select a team leader and an assistant team leader for a new project from the existing 80 employees. If one of the two posts is occupied by female, what is the probability that other post is occupied by the male employee? Team leader and Assistant team leader cannot be the same employee. Enter the answer up to 2 decimals accuracy.
Correct answer: 0.56 (accepted within ±0.02)
Koneru Humpy and Viswanath Anand are playing a chess game to raise donations for a non-profit organisation for women's education. The game goes to the wire and Koneru Humpy has two moves to pick from. There is a 0.8 probability that she choose the first move. The probability of Koneru Humpy winning is 0.3 if she chooses the first move and 0.6 probability to win if she chooses the second move. What is the probability that Koneru Humpy will lose the chess game? Assume that the only possible outcomes of the games for Koneru Humpy is win or lose. Enter the answer correct to two decimals accuracy.
Correct answer: 0.64
Correct answer: 7.1 (accepted within ±0.2)
In an India- Australia test match happening at Gabba, Australia, Virat Kohli scored 225 runs in the India's first innings and Steve Smith scored 180 runs in Australia's first innings. Now the game is in to the final day. It is decided that either Virat Kohli or Steve Smith will be awarded Man of the Match (MoM) and no other player can be awarded MoM award. There is a 0.9, 0.5, and 0.3 probability that Virat Kohli will win the MoM award if India wins, draws or loses the test match respectively. There is 50% probability for India winning the test match and 30% probability for Australia winning the test match. If Steve Smith won the MoM award, what is the probability that India lost the test match? Enter the answer correct to two decimals accuracy.
Correct answer: 0.58 (accepted within ±0.02)
Correct answer: 0.1
Which of the following is a discrete random variable?
Waiting time of a patient at a clinic.
Number of stocks sold by a person in a day.
Goals scored by Messi in a football game.
Volume of a container.
Correct answers
Number of stocks sold by a person in a day.
Goals scored by Messi in a football game.
Which of the following statements is/are true?
Correct answers
Which of the following statements is/are true for three non-empty events A, B, and C of an experiment.
Correct answers
Correct answer
