The IIT Madras BS Statistics for Data Science I (Stats 1) Quiz 2 paper sat on 1 Dec 2024, in the September 2024 term: 14 questions for 40 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.
Administration section of a university has started to create roll numbers for the students, following the format ‘23Z174’ using the digits 1, 2, 3, 4, 5, 6, 7 and a capital letter at the third position. Assume no digits are repeated. Find the number of ways in which the administration section can create a unique roll number.
65,520
52,920
56,160
46,800
Correct answer
65,520
In a school, there are 3 students in section-A, 4 students in section-B and 5 students in section-C. Find the number of ways, in which 8 students can be selected such that it includes at least 2 students from each section and at most 5 students from the total 7 students in section-A and section-B.
Correct answer: 270
Correct answer: 0.51 (accepted within ±0.03)
Correct answers
6
3
3!
6!
Correct answer
3
How many four letter words, with or without meaning, can be formed using the letters of the word ‘ENGLISH’ without repetition such that ‘E’ is one of the alphabet in each of the word formed?
Correct answer
Two dice are rolled once. What is the probability of getting an odd number at the first die or a total of 7 ?
Correct answer
In a school with 120 students, 90 students are enrolled in Math, 50 students are enrolled in Science, and 30 students are enrolled in both Math and Science. If a student is randomly selected, what is the probability that he/she is enrolled in Science given that he/she is enrolled in Math?
Correct answer
Two dice are rolled once. What is the probability of getting an odd number at the first die or a total of 7?
What is the probability that a black pair of balls is chosen? (Enter the answer correct to two decimal places.)
Correct answer: 0.07 (accepted within ±0.03)
Two dice are rolled once. What is the probability of getting an odd number at the first die or a total of 7?
What is the probability that they are of same colour? (Enter the answer correct to two decimal places.)
Correct answer: 0.27 (accepted within ±0.03)
Based on the above data, answer the given subquestions.
Correct answer
Based on the above data, answer the given subquestions.
Correct answer
Based on the above data, answer the given subquestions.
Correct answer
Which of the following options is (are) correct?
Correct answers
