Approximately 70% of statistics students do their homework in time for it to be collected and graded. Each student does homework independently. In a statistics class of 50 students, what is the probability that at least 40 will do their homework on time? Students are selected randomly.
a. This is a binomial problem because there is only a success or a __________, there are a fixed number of trials, and the probability of a success is 0.70 for each trial.
b. If we are interested in the number of students who do their homework on time, then how do we define X?
c. What values does x take on?
d. What is a "failure," in words?
e. If p + q = 1, then what is q?
f. The words "at least" translate as what kind of inequality for the probability question P(x ____ 40).
OpenStax Introductory Business Statistics 2e, 4.2 Binomial Distribution, exercise 4