MCQs on Discrete Probability Distribution

The binomial distribution is used for:

• Continuous data

• Repeated trials with two outcomes

• Data with more than two categories

• Infinite trials

In a binomial distribution, each trial is:

• Dependent

• Constant

• Independent

• Continuous

The mean of a binomial distribution is given by:

• np

• npq

• √npq

• n/p

The variance of a binomial distribution is:

• np

• npq

• n²pq

• np²

In binomial distribution, the two possible outcomes are called:

• Gain and Loss

• Head and Tail

• Success and Failure

• Win and Lose

The Poisson distribution is used when:

• The number of trials is small

• The number of events is large and probability is high

• The number of trials is large and probability is small

• All events are dependent

Which of the following is the parameter of the Poisson distribution?

• n

• p

• λ

• q

The mean and variance of the Poisson distribution are:

• λ and λ²

• λ and 2λ

• λ and λ

• λ and √λ

The recurrence formula is used in which distribution?

• Normal

• Binomial

• Poisson

• Both B and C

Which of the following is true for binomial distribution?

• It is symmetric for p = 0.5

• It is skewed for p ≠ 0.5

• It becomes normal for large n

• All of the above