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.