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May 2023 term · Statistics for Data Science I · BSMA1002

Stats 1 End Term: 3 September 2023, Set QPF1-S1 (May 2023 term)

The IIT Madras BS Statistics for Data Science I (Stats 1) End Term paper sat on 3 Sept 2023, in the May 2023 term, set QPF1-S1: 12 questions for 40 marks in 180 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.

Questions
12
Marks
40
Duration
180 min
MCQ
5
Numerical
6
MSQ
1
Take as mock testPractise with answers

Updated

Official paper: IIT M FOUNDATION ET1 EXAM QPF1 S2 03 Sep · No negative marking.

Question 1

+3 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • D
Question 1 on its own page

Question 2

+2 marksNumerical answer
Show answer

Correct answer: 0.93 (accepted within ±0.03)

Question 2 on its own page

Question 3

+2 marksNumerical answer
Show answer

Correct answer: 4.67 (accepted within ±0.05)

Question 3 on its own page

Question 4

+4 marksNumerical answer

A pharmaceutical company is testing a new drug. The probability that a patient experiencing a side effect from this drug is 0.10. If the drug is given to 5 patients, what is the probability that more than 1 patient will experience the side effect? (Enter the answer correct to 2 decimal places.)

Show answer

Correct answer: 0.08 (accepted within ±0.03)

Question 4 on its own page

Question 5

+3 marksNumerical answer

An internet service provider advertises a download speed between 50 Mbps and 100 Mbps for its basic plan, which follows a uniform distribution. Based on the given information, answer the subquestions

What is the probability that a user on this plan will experience a download speed of exactly 60 Mbps?

Show answer

Correct answer: 0

Question 5 on its own pageAlso asked in End Term 3 Sept 2023

Question 6

+4 marksOne correct option

An internet service provider advertises a download speed between 50 Mbps and 100 Mbps for its basic plan, which follows a uniform distribution. Based on the given information, answer the subquestions

What is the probability that a user on this plan experiences a download speed of at least 80 Mbps given that user has experienced download speed of at least 70 Mbps?

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • B
Question 6 on its own page

Question 7

+3 marksOne correct option

The time it takes for a computer system to reboot after a crash follows an exponential distribution with a mean time of 0.5 hours. What is the probability that the system will be back online within 1 hour of the crash?

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • A
Question 7 on its own page

Question 8

+4 marksNumerical answer

The number of network failures in a company follows a Poisson distribution, with an average rate of 1 network failure per week. What is the probability that there will be no network failure in the next 14 days? (Note: 1 week = 7 days) (Enter the answer correct to 2 decimal places.)

Show answer

Correct answer: 0.14 (accepted within ±0.03)

Question 8 on its own page

Question 9

+3 marksOne correct option
  1. A

    3

  2. B

    2

  3. C

    5

  4. D

    6

Show answer

Correct answer

  • C

    5

Question 9 on its own page

Question 10

+4 marksOne or more correct options

Which of the following option(s) is(are) correct?

Select all that apply.

  1. A

    Brand of smartphones (Realme, Samsung, Vivo etc.) have ordinal scale of measurement.

  2. B

    Bar chart must preserve the order for ordinal data.

  3. C

    Relative frequency is useful to compare two different datasets.

  4. D

    Time (in hours) taken by a student to complete a project is a discrete variable.

Show answer

Correct answers

  • B

    Bar chart must preserve the order for ordinal data.

  • C

    Relative frequency is useful to compare two different datasets.

Question 10 on its own page

Question 11

+4 marksNumerical answer

A box contains 2 red pens, 3 black pens and 4 blue pens. In how many ways can 3 pens be drawn from the box, if at least one black pen is to be included in the box?

Show answer

Correct answer: 64

Question 11 on its own page

Question 12

+4 marksOne correct option
  1. A

    1.5

  2. B

    3

  3. C

    0.875

  4. D

    Cannot be determined

Show answer

Correct answer

  • B

    3

Question 12 on its own page