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You got a 20% discount on an event ticket and paid $50 for it. The original ticket price was $60.

The statement “If p, then q” is logically equivalent to the statement “If not p, then not q.”

Let p be the statement “Today is Friday.”  Let q be the statement “I go out to eat.”  Write, in English, the statement denoted

At a local high school, 300 students tested positive for the new coronavirus, which accounts for 15% of the entire student body. How many students attend this high school?

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.