# Choose the correct option from the given alternatives: For a binomial distribution, n = 5. If P(X = 4) = P(X = 3), then p = ______ - Mathematics and Statistics

MCQ

Choose the correct option from the given alternatives:

For a binomial distribution, n = 5. If P(X = 4) = P(X = 3), then p = ______

• 1/3

• 3/4

• 1

• 2/3

#### Solution

2/3

Explanation:

P(X = 4) = P(X = 3)

∴ ""^5C_4  p^4  q = "^5C_3  p^3  q^2

∴ 5p = 10q

∴ 5p = 10(1 - p)

∴ p = (10(1 - "p"))/5

∴ p = 2 - 2p

∴ p + 2p = 2

∴ 3p = 2

∴ p = 2/3

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 3 | Page 253