The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 44,111 miles, with a variance of 5,943,844. What is the probability that the sample mean would be less than 44,257 miles in a sample of 80 tires if the manager is correct? Round your answer to four decimal places.

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.