Fill in the blank : In Binomial distribution probability of success _______ from trial to trial. - Mathematics and Statistics

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Fill in the blank :

In Binomial distribution probability of success Remains constant / independent from trial to trial.

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Solution

In Binomial distribution probability of success _______ from trial to trial.

Concept: Binomial Distribution
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Chapter 8: Probability Distributions - Miscellaneous Exercise 8 [Page 154]

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Balbharati Mathematics and Statistics 2 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 8 Probability Distributions
Miscellaneous Exercise 8 | Q 2.08 | Page 154

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Solution:

A pair of dice is thrown 3 times.

∴ n = 3

Let x = number of success (doublets)

p = probability of success (doublets)

∴  p = `square`, q = `square`

∴ x ∼ B (n, p)

P(x) = nCxpx qn–x

Probability of getting at least two success means x ≥ 2.

∴ P(x ≥ 2) = P(x = 2) + P(x = 3)

= `square` + `square`

= `2/27`


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