Answer Happy

Suppose 79% of students enrolled at a metropolitan polytechnic take a Business course. A random sample of 33 students is selected. Assuming independence, use the binomial formula or software (recommended) to answer the following questions. 1. What is the probability that, of the 33 students selected: (Report probabilities accurate to at least 4 decimal places.) a) exactly 26 take a Business course? b) exactly 5 do not take a Business course? c) all of them take a Business course? d) at most 27 take a Business course? e) at least 25 take a Business course? f) more than half take a Business course? g) at least 25 but no more than 31 take a Business course? a

h) less than 19 or more than 30 take a Business course? 2. Calculate the mean and standard deviation of students that take a Business course. Round to 2 decimal places. Mean = Standard Deviation = 3. If you expect to find exactly 57 students that take a Business course, how large a sample should you select? Report the minimum sample size required as an integer.