Probability and Statistics Quiz

If X is a discrete random variable then, P(X=xi )=Pi is the probability mass function of X if Pi satisfies

• Pi≥0 , for all i

• iPi=1

• Both (a) and (b)

• Neither (a) nor (b)

Any random experiment which having only two possible outcomes is called

• Binomial Trial

• Poisson Trial

• Gaussian Trial

• Bernoulli's trial

The probability mass function of a discrete random variable is given by PX=r=nCrprqn-r then X is said to follow

• Binomial Distribution

• Poisson distribution

• Geometric distribution

• Negative Binomial distribution

The parameters of a Binomial distribution are

• p,q

• n,q

• n,p

• n

The mean of Binomial distribution is

• np

• npq

• nq

• pq

The variance of Binomial distribution is

• np

• npq

• nq

• pq

If the discrete random variable represents the probability of a given number of events occurring in a fixed interval of time or space if these events occur with a known constant mean rate and independently of the time since the last event then X is said to follow

• Binomial Distribution

• Poisson distribution

• Geometric distribution

• Negative Binomial distribution

The probability mass function of a discrete random variable is given by PX=r=e-λλrr! ,then X is said to follow

• Binomial Distribution

• Poisson distribution

• Geometric distribution

• Negative Binomial distribution

If X represents the number of telephone calls coming to a telephone exchange between 9 AM and 10 AM then X follows

• Binomial distribution

• Geometric distribution

• Negative Binomial distribution

• Poisson distribution

The mean of Poisson distribution is

• λ

• λ2

• 1/ λ

• 1/ λ2