In: Statistics and Probability
An online quiz divides up people according to their usage of the computer. In a survey of 4,001 respondents, 8% were classified as "productivity enhancers" who are comfortable with technology and use the Internet for its practical value. Suppose you select a sample of 400 students at your school and the population proportion of productivity enhancers is 0.08.
a. What is the probability that in the sample, less than 10% of the students will be productivity enhancers ?
b. What is the probability that in the sample, between 6% and 10% of the students will be productivity enhancers ?
c. What is the probability that in the sample, more than 5% of the students will be productivity enhancers ?