The IIT Madras BS Statistics for Data Science II (Stats 2) Quiz 1 paper sat on 27 Oct 2024, in the September 2024 term, set 2: 28 questions for 50 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.
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YES
NO
Correct answer
YES
Useful Data has been mentioned above.
This data attachment is just for a reference & not for an evaluation.
Correct answer
Useful Data has been mentioned above.
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
Based on the above data, answer the given subquestions.
A written answer, not marked automatically.
Based on the above data, answer the given subquestions.
A written answer, not marked automatically.
Based on the above data, answer the given subquestions.
1372
1368
456
612
Correct answer
1368
Based on the above data, answer the given subquestions.
Correct answer
Based on the above data, answer the given subquestions.
A written answer, not marked automatically.
Suppose that a factory manufactures electronic gadgets every day. A quality control team tracks the number of defective gadgets found in daily production runs. Let X be the number of defective gadgets produced on any given day. The mean and variance of X are 50 and 81, respectively. Based on the above data, answer the given subquestions.
Using Markov’s inequality, find an upper bound on the probability that production will exceed 99 on a given day. Enter the answer correct to one decimal place.
A written answer, not marked automatically.
Suppose that a factory manufactures electronic gadgets every day. A quality control team tracks the number of defective gadgets found in daily production runs. Let X be the number of defective gadgets produced on any given day. The mean and variance of X are 50 and 81, respectively. Based on the above data, answer the given subquestions.
Using Chebyshev’s inequality, find a lower bound on the probability that on a given day production will be between 30 and 70.
Correct answer
Based on the above data, answer the given subquestions.
Find the value of k. Enter the answer correct to two decimal places.
A written answer, not marked automatically.
Based on the above data, answer the given subquestions.
Calculate the probability that the length of a randomly selected rod is between 2 cm and 4 cm. Enter the answer correct to two decimal places.
A written answer, not marked automatically.
Based on the above data, answer the given subquestions.
A written answer, not marked automatically.
Based on the above data, answer the given subquestions.
Correct answer
Rajat and Meenal are playing a game. Rajat will roll a fair six-sided die, and Meenal will flip a fair coin as many times as the number shown on the die. Let X be the number displayed on the die, and Y be the number of heads obtained by Meenal. Based on the above data, answer the given subquestions.
If X = 4, then which of the following options are true?
Correct answers
Rajat and Meenal are playing a game. Rajat will roll a fair six-sided die, and Meenal will flip a fair coin as many times as the number shown on the die. Let X be the number displayed on the die, and Y be the number of heads obtained by Meenal. Based on the above data, answer the given subquestions.
Find the value of 100P(Y = 6). Enter the answer correct to two decimal places.
A written answer, not marked automatically.
Correct answer
A written answer, not marked automatically.
Based on the above data, answer the given subquestions.
A written answer, not marked automatically.
Based on the above data, answer the given subquestions.
A written answer, not marked automatically.
Based on the above data, answer the given subquestions.
A written answer, not marked automatically.
Based on the above data, answer the given subquestions.
A written answer, not marked automatically.
Suppose that a factory manufactures electronic gadgets every day. A quality control team tracks the number of defective gadgets found in daily production runs. Let X be the number of defective gadgets produced on any given day. The mean and variance of X are 50 and 81, respectively. Based on the above data, answer the given subquestions.
A written answer, not marked automatically.
Based on the above data, answer the given subquestions.
A written answer, not marked automatically.
Based on the above data, answer the given subquestions.
A written answer, not marked automatically.
Rajat and Meenal are playing a game. Rajat will roll a fair six-sided die, and Meenal will flip a fair coin as many times as the number shown on the die. Let X be the number displayed on the die, and Y be the number of heads obtained by Meenal. Based on the above data, answer the given subquestions.
A written answer, not marked automatically.
