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प्रश्न
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.
उत्तर
In Binomial distribution if n is very large and probability success of p is very small such that np = m (constant) then Poisson distribution is applied.
संबंधित प्रश्न
A die is thrown 6 times. If ‘getting an odd number’ is a success, find the probability of 5 successes.
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A die is thrown 6 times. If ‘getting an odd number’ is a success, find the probability of at most 5 successes.
A pair of dice is thrown 4 times. If getting a doublet is considered a success, find the probability of two successes.
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- when the number of pupils questioned remains at 4.
- when the number of pupils questioned is increased to 8.
In binomial distribution with five Bernoulli’s trials, the probability of one and two success are 0.4096 and 0.2048 respectively. Find the probability of success.
If E(x) > Var(x) then X follows _______.
Fill in the blank :
In Binomial distribution probability of success Remains constant / independent from trial to trial.
In Binomial distribution, probability of success ______ from trial to trial
If the sum of the mean and the variance of a binomial distribution for 5 trials Is 1.8, then p = ______.
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`
