Exam 10: Understanding Randomness

Suppose that there are two candidates for the president of your school's student government,Candidate A and Candidate B.We believe that Candidate A has about a 52% of the votes of the student body.However,you're worried that only 1000 students will show up to vote.How often will Candidate A lose in this situation? To find out,you set up a simulation.Describe how you will simulate a component and its outcomes.

Criticize the following simulation: A student uses a random number from 1 to 13 to simulate the value of a card drawn at random from a standard deck of playing cards.

A university in your region estimates that graduating average of high school students who apply for admission to a particular university program can be described by a Normal model with a mean of 82% and a standard deviation of 5%.The staff in admissions open the applications at random looking for 10 applicants with averages above 85%.How many applications do you think the staff will need to open?

Computers generate pseudorandom numbers.Can these numbers be used as random numbers? Why or why not?

You are planning to take the test to be certified to administer CPR.Your teacher has told you that only 35% of candidates pass the test the first time.For those who fail the test on the first try,41% pass on their second attempt.Estimate the percentage of those tested who still are not certified after two attempts.Your simulation should use at least 20 runs.

When drawing five cards randomly from a deck,which is more likely,a royal flush or a full house? A royal flush is the five highest cards of a single suit.A full house is three of one denomination and two of another.How could you simulate 5-card hands? Once you have picked one card,you cannot pick that same card again.Describe how you will simulate a trial.