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Analyze the argument below.  “Everyone who came on this plane has a passport. This person does not have a passport. Therefore, this person did not come on this plane.” On your paper (which you will be submitting after this exam), draw a diagram to check the validity of this argument. Then, write either “valid” or “invalid.”  Enter the word “valid” or “invalid” below, but YOUR ANSWER AND WORK SHOULD BE ON YOUR PAPER.

You have 6 movies you would like to watch this month. Assuming you watch every movie only once, in how many different orders can you accomplish this? 

The negation of the statement “Chris Weber is a golfer” is “Chris Weber is a basketball player.”

Five people went to the same restaurant and recorded how long they had to wait for their meal after ordering (in minutes). The results are as follows:  20, 18, 20, 15, 17 Find the mean, the median, and the mode. Be sure to find all three and indicate which one is which. Write ONLY your answers in the response box. Show your work which justifies your answers ON YOUR PAPER.    

Find the probability that you will get no Tails when you toss 3 coins.

The table below shows the number of patients at a community hospital: Outpatient Hospitalized Total Men 60 30 90 Women 55 45 100 Total 115 75 190   (a) Find the probability that a patient is hospitalized GIVEN that the patient is a woman. (b) Find the probability that a patient is a woman GIVEN that the patient is hospitalized.  Be sure to answer both questions. You do not have to reduce (simplify) your answers. Write ONLY your answers in the response box. Show your work which justifies your answers ON YOUR PAPER.    

An account with a rate of 10% compounded CONTINUOUSLY earns less interest than an account with a rate of 10% compounded monthly.

If the initial deposit (principal) is $1000 and the interest rate is 4% compounded annually, at the end of one year, the balance will be more than $1040. 

The number of residents in a small village grew by 8% to 1296 last year. How many residents were there the year before?

Complete the table below.  Suppose 8% of those who take the COVID-19 test actually have the virus. The test is 90% accurate in identifying those with COVID-19 and those without COVID-19. Out of 1000 people tested, find out how many people will test positive and how many of those are “false positives” (those who test positive but don’t actually have the virus).  Tested Positive Tested Negative Total Actually with COVID-19 [a] [b] 80 Actually without COVID-19 [c] [d] 920 Total [e] [f] 1000 Copy this table on your paper and fill in the blank boxes. Write ONLY your answers in the response box. Show your work which justifies your answers ON YOUR PAPER.