A genetics experiment involves a population of fruit flies consisting of 1 male

Question

A genetics experiment involves a population of fruit flies consisting of 1 male named Carlos and 3 females named Diana, Erin, and Fiona. Assume that two fruit flies are randomly selected with replacement. After listing the possible samples and finding the proportion of males in each sample, use a table to describe the sampling distribution of the proportion of males. (Type integers or fractions.) Find the mean of the sampling distribution. Mu = squarebox (Round to two decimal places as needed) Is the mean of the sampling distribution [from part (b) equal to the population proportion of males? If so, does the mean of the sampling distribution of proportions always equal the population proportion? No, the sample mean is equal to the population proportion of males. These values are not always equal, because proportion is an unbiased estimator. No, the sample mean is equal to the population proportion of males. These values are not always equal, because proportion is a biased estimator Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is an unbiased estimator Yes, the sample mean is equal to the population proportion of males. These values are always equal, because proportion is a biased estimator.

Explanation / Answer

proportion of male will be 0 when both fruit chosen female ,for whcih probabilty =(3/4)(3/4) =9/16=0.5625

proportion of male will be 0.5 when one fruit chosen male and other female=2*(1/4)(3/4) =6/16=0.375

proportion of male will be 1 when both fruit chosen female ,for whcih probabilty =(1/4)*(1/4)=0.0625

a)

b) mean of sampling distribution =0.25

c) option C

x P(x) xP(X) 0 0.5625 0 0.5 0.375 0.1875 1 0.0625 0.0625 0.25

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