UGM June 2019 Q81

81Indicate the correct answer for the combination from the following regarding the conditions for the applicability of a binomial distribution:
(a) There are n independent trials
(b) Each trial has only two possible outcomes
(c) The probabilities of two outcomes do not remain constant
(d) The trials are independent Which of the following options is correct?

Option : C
Explanation : The normal distribution is undoubtedly the most important probability distribution in statistics. Not far behind, however, is the binomial d istribution. Th e binom ial distribution is a discrete distribution that can occur in two situations: (1) when sampling from a population with only two types of members (males and females, for example), and (2) when performing a sequence of identical experiments, each of which has only two possible outcomes.
Assumptions of the Binomial Distribution:
> The experiment involves n identical trials.
> Each trial has only two possible outcomes denoted as success or as failure.
> Each trial is independent of the previous trials.
> The terms p and q remain constant throughout the experiment, where the term p is the probability of getting a success on any one trial and the term q = (1 – p) is the probability of getting a failure on any one trial.

Forgot your password?

I agree with the Terms.