At a university, 61% of the 7400 students are female. The student newspaper reports results of a survey of a random sample of 50 students about various topics involving alcohol abuse, such as participation in binge drinking. They report that their sample contained 26 females.

Gender is a categorical variable. To set up a probability distribution where the random variableXrepresents gender, LetX= 1 for a female and letX= 0 for a male.

(a) Show the population distribution of gender at this university. (Use two decimal places.)

Female	1
Male	0

(b) Show the data distribution of gender for this sample. (Use two decimal places.)

Female	1
Male	0

(c) Consider the sampling distribution of the sample proportion of females in samples of size 50. State the mean and standard error for this sampling distribution.

Mean	=(2 decimal places)
Standard error	=(3 decimal places)