In: Statistics and Probability
The BioPharm company has developed a stress test for college-aged students. Scores on the stress test are approximately normally distributed with a mean of 55 points and a standard deviation of 2 points. Scores of 58 points or higher indicate a high level of stress and are of concern to doctors. A random sample of college-aged students will be selected and each will be given this stress test. Answer the following questions based on the information given.
1. What is the probability that the first randomly selected student has a high level of stress?
2. Given that the first randomly selected student is highly stressed, what is the probability that the next randomly selected doesn’t have a high level of stress?
3. Suppose the stress test is given to six randomly selected college students. What is the probability that exactly two of the six students will have a high level of stress (a score of at least 58 points)?