The IIT Madras BS Statistics for Data Science I (Stats 1) Quiz 2 paper sat on 10 Jul 2022, in the May 2022 term: 15 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.
Ram has to choose a t-shirt for his outfit from a collection of 6 yellow t-shirts, 2 black t-shirts and 4 blue t-shirts. If a t-shirt is chosen randomly, then what is the chance that a black or a blue t-shirt is chosen by Ram for his outfit ?
Correct answer
4100
1900
1759
2200
Correct answer
2200
A fair die is thrown twice independently. What is the probability of getting two numbers whose product is odd?
Correct answer
In a hospital, 40% of the patients are male. It is known that 15% of male patients are suffering from cancer and 10% of female patients are suffering from cancer. If a patient is selected randomly, then based on the given information, answer the subquestions.
What is the probability that the selected patient is suffering from cancer? (Enter the answer correct to 2 decimal accuracy)
Correct answer: 0.12 (accepted within ±0.03)
In a hospital, 40% of the patients are male. It is known that 15% of male patients are suffering from cancer and 10% of female patients are suffering from cancer. If a patient is selected randomly, then based on the given information, answer the subquestions.
If the selected patient is suffering from cancer, then what is the probability that the patient is a female? (Enter the answer correct to 2 decimal accuracy)
Correct answer: 0.5 (accepted within ±0.03)
Answer the given subquestions.
A boy went to a bakery shop to purchase chocolates. If there are 5 dark chocolates and 3 milk chocolates, of which two are to be purchased by him, then in how many ways can it be done such that both of the purchased ones are either dark chocolate or the milk chocolate?
Correct answer: 13
Answer the given subquestions.
Select the steps from the following options, that you will use for the selection of chocolates to be purchased.
Note: This question is optional. We will check your answer to this question if you make a mistake in the previous one.
Selection of chocolates will occur simultaneously.
Selection of chocolates will not occur simultaneously.
With replacement.
Without replacement.
Order matters.
Order does not matter.
Permutation is used.
Combination is used.
Correct answers
Selection of chocolates will occur simultaneously.
Without replacement.
Order does not matter.
Combination is used.
Answer the given subquestions.
How many numbers can be formed using the digits 0, 1, 3, 5, 7, 9 (without repetition), such that the number formed is greater than 20,000?
Correct answer: 1080
Answer the given subquestions.
Select the steps from the following options, that you will use to form the numbers greater than 20,000 using the given digits.
Note: This question is optional. We will check your answer to this question if you make a mistake in the previous one.
Selection of digits will occur simultaneously.
Selection of digits will not occur simultaneously
With replacement.
Without replacement.
Order matters.
Order does not matter.
Permutation is used.
Combination is used.
Correct answers
Selection of digits will occur simultaneously.
Without replacement.
Order matters.
Permutation is used.
Answer the given subquestions.
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 include at least 2 students from each section and at most 5 students from the total 7 students in section-A and B.
Correct answer: 270
Answer the given subquestions.
Select the steps from the following options, that you will use for selection of students from the given three sections.
Note: This question is optional. We will check your answer to this question if you make a mistake in the previous one.
Selection of students will occur simultaneously
Selection of students will not occur simultaneously.
With replacement.
Without replacement.
Order matters.
Order does not matter.
Permutation is used.
Combination is used.
Correct answers
Selection of students will occur simultaneously
Without replacement.
Order does not matter.
Combination is used.
Answer the given subquestions.
In how many ways a necklace of 6 beads can be formed using 8 beads of different colour?
Correct answer: 1680
Answer the given subquestions.
Select the steps from the following options, that you will use to form a necklace after choosing 6 beads from 8 beads.
Note: This question is optional. We will check your answer to this question if you make a mistake in the previous one.
Selection of beads will occur simultaneously.
Selection of beads will not occur simultaneously.
With replacement.
Without replacement.
Order matters.
Order does not matter.
Permutation is used.
Combination is used.
Correct answers
Selection of beads will occur simultaneously.
Without replacement.
Order matters.
Permutation is used.
If an analyst wants to categorize the satisfaction level of a ride as “not happy, happy, very happy” which is serviced by a transport company, then which scale of measurement is suitable for the satisfaction level?
Nominal
Ordinal
Interval
None
Correct answer
Ordinal
Which of the following statements is/are incorrect?
Number of road accidents in a month is a numeric and continuous variable.
Age of a student (in years) in a class is a numeric and continuous variable.
Number of languages spoken by an individual is a numeric and discrete variable.
Speed of a car is a numeric and discrete variable.
Correct answers
Number of road accidents in a month is a numeric and continuous variable.
Speed of a car is a numeric and discrete variable.
