ES1001 : Binomial Distribution

In a Binomial Distribution, if ‘n’ is the number of trials and ‘p’ is the probability of success, then the mean value is given by ___________

• np

• nq

• pq

• np(1-p)

In a Binomial Distribution, if p, q and n are probability of success, failure and number of trials respectively then variance is given by ___________

• np

• npq

• np²q

• npq²

If ‘X’ is a random variable, taking values ‘x’, probability of success and failure being ‘p’ and ‘q’ respectively and ‘n’ trials being conducted, then what is the probability that ‘X’ takes values ‘x’? Use Binomial Distribution

• P(X = x) = ⁿC_x p^x q^x

• P(X = x) = ⁿC_x p^x q^(n-x)

• P(X = x) = ^xC_n q^x p^(n-x)

• P(x = x) = ^xC_n pⁿ q^x

If ‘p’, ‘q’ and ‘n’ are probability pf success, failure and number of trials respectively in a Binomial Distribution, what is its Standard Deviation?

It is suitable to use Binomial Distribution only for ___________

• Large values of ‘n’

• Fractional values of ‘n’

• Small values of ‘n’

• Any value of ‘n’

For larger values of ‘n’, Binomial Distribution ___________

• loses its discreteness

• tends to Poisson Distribution

• stays as it is

• gives oscillatory values

In a Binomial Distribution, if p = q, then P(X = x) is given by?

• ⁿC_x (0.5)ⁿ

• ⁿC_n (0.5)ⁿ

• ⁿC_x p^(n-x)

• ⁿC_n p^(n-x)

Binomial Distribution is a ___________

• Continuous distribution

• Discrete distribution

• Irregular distribution

• Not a Probability distribution