Progress Check 4. Multiple Choice. A large school is planning on buying technology that is compatible with Macintosh computers. It is estimated that 49% of all the students have a Mac computer. Historically, the standard deviation of the population is 10.75. In a random sample of 50 high school students, what is the probability that the majority of the students own a mac? A). P(Z > 0.51) B). P(Z > 0.49) C). P(Z > 0.51-0.49) [(0.49) - (1-0.49) ) D). P(Z > (0.51-0.49) ((0.61)-(1-0.61) ) 50 E). P(Z - (0.51-0.49) 10.75 Progress Check 5. 14.5% of students earned a five on the a placement exam in 2019. The average score in 2019 was 2.87, with a standard deviation of 1.37; students can any score between 1 and 6 (e.g., 4.1). (3) What is the probability that a randomly chosen (4) If a random sample of 100 students were ran- student would earn a score between 3 and 4? domly selected, what is the probability that the percentage who earned above a five is more than 21%