Question

A study of color in tiger beetles is conducted to gain evidence to support the contention that the proportion of yellow beetles may vary from locality to locality. A sample of 500 beetles caught in one season near East Setuket, NY, yielded 92 yellow ones. A catch of 251 from Queens, NY, contained 14 yellow individuals. What distribution can be used to derive the exact sampling distribution for proportion of yellow tiger beetles

Answer 1

Binomial distribution

Explanation:

Each tiger:

For each tiger, there are only two possible possible outcomes. Either it is yellow, or it is not. The probability of a tiger being yellow is independent of any other tiger. This means that the binomial probability distribution is used to solve this question.