Future scientists: Education professionals refer to science, technology, engineering, and mathematics as the STEM disciplines. A research group reported that 27% of freshmen entering college in a recent year planned to major in a STEM discipline. A random sample of 80 freshmen is selected. Round the answer to at least four decimal places. Part 1 of 6 Is it appropriate to use the normal approximation to find the probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline? appropriate to use the normal curve, since np = 21.6 It is and n (1 - p) Part 2 of 6 Part: 2 / 6 Part 3 of 6 Part: 3 / 6 Find the probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline. The probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline is. Part 4 of 6 ▼ 10 58.4 2 ▼10. Part: 4 / 6 A new sample of 130 freshmen is selected. Find the probability that less than 28% of the freshmen in this new sample are planning to major in a STEM discipline. The probability that less than 28% of the freshmen in the sample are planning to major in a STEM discipline is Part 5 of 6 The probability that the proportion of individuals in the sample of 130 who plan to major in a STEM discipline is between 0.31 and 0.35 is X X Find the probability that the proportion of freshmen in the sample of 130 who plan to major in a STEM discipline is between 0.31 and 0.35. The probability that more than 32% of the freshmen in the sample of 130 are planning to maior in a STEM discipline is X S X Find the probability that more than 32% of the freshmen in the sample of 130 are planning to major in a STEM discipline. X