Question 2 -

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Answers to Question 2:

**(a) **
This experiment does not exhibit the properties of binomial experiment. As the number of trials is not fixed.

**(b) **
Assuming that a piglet is considered under weight below a specified weight, then this experiment can follow binomial distribution.

-The experiment consists of fixed trials.

-Each experiment results in two outcomes. Each trial has under weight piglet or does not have underweight piglet.

-The probability of success is constant from trial to trial.

-The trials are independent; that is, getting under weight piglet in one trial does not affect whether we get under weight piglet in other trials.

**(c) **
Assuming probability of children of pre-primary school age who are left-handed is known, then this experiment can follow binomial distribution. Because:

-The number of trials is fixed;

-The fact that a child is left-handed will not influence whether or not next child selected is left-handed. Each observation is independent.

-Each experiment results in two outcomes: left-handed or right-handed.

-Assumed probability of being left-handed is constant for all children who belong to pre-primary group age.