Future scientists: Education professionals refer to science, technology, engineering, and mathematics as the STEM disciplines. A research group reported that 29% of freshmen entering college in a recent year planned to major in a STEM discipline. A random sample of 90 freshmen is selected. Round the answer to at least four decimal places. Is it appropriate to use the normal approximation to nd the probability that less than 32% ofthe freshmen in the sample are planning to major in a STEM discipline? It E0 appropriate to use the normal curve, since up =10 andn(1p) = :3 Y 10. Find the probability that less than 32% ofthe freshmen in the sample are planning to major in a STEM discipline. The probability that loss than 32% of the freshmen in the sample are planning to major in a STEM discipline is 0.735? . A new sample of 140 freshmen is selected. Find the probability that less than 23% 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 0.39?\" . Find the probability that the proportion of freshmen in the sample of 14-0 who plan to major in a STEM discipline is between 0.28 and 0.35. The probability that the proportion of individuals in the sample of 14-0 who plan to major in a STEM discipline is between 0.28 and 0.35 is Hlm2 RI