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प्रश्न
Fill in the blank :
In Binomial distribution probability of success Remains constant / independent from trial to trial.
उत्तर
In Binomial distribution probability of success _______ from trial to trial.
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संबंधित प्रश्न
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If E(x) > Var(x) then X follows _______.
In Binomial distribution if n is very large and probability success of p is very small such that np = m (constant) then _______ distribution is applied.
Solve the following problem:
An examination consists of 5 multiple choice questions, in each of which the candidate has to decide which one of 4 suggested answers is correct. A completely unprepared student guesses each answer completely randomly. Find the probability that,
- the student gets 4 or more correct answers.
- the student gets less than 4 correct answers.
If X ~ B(n, p) with n = 10, p = 0.4, then find E(X2).
In Binomial distribution, probability of success ______ from trial to trial
If X∼B (n, p) with n = 10, p = 0.4 then E(X2) = ______.
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`
