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Match List-I (n = number of trials, p = probability of success) with List-II (variance of…

Paper 1 · Research Aptitude UGC NET June 2024 Re-Exam (30.08.2024) Shift-I
Match List-I (n = number of trials, p = probability of success) with List-II (variance of the binomial distribution) and choose the correct answer from the options given below.
List I
  • N = 7, p = 0.3
  • N = 5, p = 0.4
  • N = 8, p = 0.5
  • N = 6, p = 0.6
List II
  • 1.44
  • 2.00
  • 1.20
  • 1.47
AI-a, II-b, III-c, IV-d
BI-b, II-c, III-d, IV-a
CI-c, II-d, III-a, IV-b
DI-d, II-c, III-b, IV-a ✓ Correct
Correct answer: (D) I-d, II-c, III-b, IV-a — The correct pairing is I-d, II-c, III-b, IV-a, so that is the answer.
Explanation
The correct pairing is I-d, II-c, III-b, IV-a, so that is the answer.
Variance equals n times p times (1 minus p).
For n 7, p 0.3 it is 1.47.
For n 5, p 0.4 it is 1.20 and for n 8, p 0.5 it is 2.00.
For n 6, p 0.6 it is 1.44.
Hence I-d, II-c, III-b, IV-a is correct.

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