# 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 =

• 36

• 54

• 18

• 27

#### 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