A genetics experiment involves a population of fruit flies consisting of 3 males named Alfonso, Billy, and Carl and 1 female named Diane. Assume that two fruit flies are randomly selected with replacement. a. After listing the possible samples and finding the proportion of females in each sample, use a table to describe the sampling distribution of the proportion of females. Proportion of females Probability 0.5 (Type integers or fractions.) b. Find the mean of the sampling distribution. u-O (Round to two decimal places as needed.) c. Is the mean of the sampling distribution [from part (b) equal to the population proportion of females? If so, does the mean of the sampling distribution of proportions always equal the population proportion? O A. No. the sample mean is equal to the population proportion of females. These values are not always equal, because proportion is an unbiased estimator. B. Yes, the sample mean is equal to the population proportion of females. These values are always equal, because proportion is an unbiased estimator. OC. No. the sample mean is equal to the population proportion of females. These values are not always equal, because proportion is a biased estimator. O D. Yes, the sample mean is equal to the population proportion of females. These values are always equal, because proportion is a biased estimator.

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A: Sample proportion for each color can be calculated as follows:

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.