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In Binomial distribution, probability of success ______ from trial to trial - Mathematics and Statistics

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प्रश्न

In Binomial distribution, probability of success ______ from trial to trial

रिक्त स्थान भरें

उत्तर

remains constant / independent

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Binomial Distribution
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अध्याय 2.8: Probability Distributions - Q.2

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Fill in the blank :

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


Choose the correct alternative:

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A pair of dice is thrown 3 times. If getting a doublet is considered a success, find the probability of getting at least two success.

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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