The office of student services at unc would like to estimate the proportion of unc's 34,000 students who are foreign students. in their random sample of 50 students, 4 are foreign students. unknown to them, the proportion of all unc students that are foreign students is 0.061. for each student, let x=1 if the student is foreign and let x=0 if the student is from the u. s. find the mean and the standard deviation of the sampling distribution of the sample proportion for a sample of size 50.

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.