Assume That a Procedure Yields a Binomial Distribution: 50-Student Homework Probability

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 randomly selected students, what is the probability that at least 40 will do their homework on time?

1. This is a binomial problem because there is only a success or a ________, there is a fixed number of trials, and the probability of success is 0.70 for each trial.
2. Define the random variable X.
3. What values can X take?
4. Define a failure in words.
5. If p + q = 1, find q.
6. Translate “at least 40” into a probability statement and calculate the probability.