Final answer:
The scenario of asking 1000 students whether they investigate their friends on social media represents a binomial distribution; it meets all the criteria with a fixed number of trials, two possible outcomes, independent trials, and constant probability of success.
Step-by-step explanation:
True, the scenario described does represent a binomial distribution. A scenario represents a binomial distribution if it meets several conditions. There are a fixed number of trials (1,000 students), each trial has only two possible outcomes (investigate or do not investigate friends on social media), the trials are independent, and the probability of success is the same for each trial.
Examples of binomial distribution:
Students agreeing with a federal law
- Teens reporting the number of friends on social media
To calculate the probability of a student passing a 10-question true-false quiz by random guessing, you can use the binomial probability formula, considering that there are 10 trials (questions), two outcomes (true or false), and the probability of success for each question is 0.5.