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Choose the correct option from the given alternatives: If the mean and variance of a binomial distribution are 18 and 12 respectively, then n = - Mathematics and Statistics

MCQ

Choose the correct option from the given alternatives:

If the mean and variance of a binomial distribution are 18 and 12 respectively, then n = 

Options

  • 36

  • 54

  • 18

  • 27

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Solution

54

Hint:

np = 18 and npq = 12

∴ `"npq"/"np" = 12/18`

∴ q = `2/3`

∴ p = 1 - q = `1 - 2/3 = 1/3`

∴ `"n"(1/3) = 18`

∴ n = 54

Concept: Binomial Distribution
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 12th Standard HSC Maharashtra State Board
Chapter 8 Binomial Distribution
Miscellaneous exercise 8 | Q 7 | Page 253
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