25% of all students enrolled in high school XYZ are taking Algebra. 30 students are chosen at random. Find the probability that exactly 7 students out of the 30 chosen are taking Algebra? Use the Binomial Probability Distribution.
A company makes parts for a machine. The lengths of the parts must be within certain limits or they will be rejected. A large number of parts were measured and the mean and standard deviation were calculated as 3.1 m and 0.005 m respectively. Assuming this data is normally distributed and 99.7%...