MAT142 Mathematics Study Questions ESSAY

MAT142 Mathematics Study Questions

MAT142 – Exam 2 (Summer 2021)
Use a Venn Digram to solve: Out of 700 patients prescribed a steroid, 95 experienced a
skin rash and 86 experienced swelling. If 24 experienced both symptoms, how many…

1) had at least one of the two symptoms?

2) had the skin rash, but no swelling?

78% of households have a computer (laptop or desktop) and 75% have a hand-held
device (tablet or smartphone). If 87% of households have a computer or a hand-held
device, how many…

3) have both a computer and a hand-held device?

4) have a computer, but not a hand-held device?

5) The passcode for a smartphone consists of six digits. If it matters what order the
numbers are entered, how many different possible passcodes are there if… (Note: there
are 10 possible digits)
a) if we may repeat digits?

b) if we may NOT repeat digits?

6) Out of 21 applicants, how many ways can we choose 7 to interview?

7) Out of the 7 interviewees, how many ways can we rank our first, second, and third
choices?

8) There are 11 players on the Dragons basketball team. How many ways can the coach
select a group of 5 players to start the game?

9) From a committee of 15, how many ways can we select a President, Vice President,
Secretary, and Treasurer? (Assume no one can serve in two positions.)

A medical study testing a new drug for treating cooties gave the drug to one group and a
placebo to the control group. Given the following table…
Positive Effects No Effects Total

Drug 240 56
Placebo 52 198
Total
10) What percent of patients took the placebo?

11) What is the probability a patient on the drug had positive effects?

12) What is the probability a patient who felt no effects was on the drug?

Given the following contingency table comparing voters’ party and their candidate of
choice in the 1992 election…

Clinton Bush Perot
Men 19% 18% 11%
Women 24% 20% 8%

13) What percent of men voted for Bill Clinton?

14) What percent of people who voted for H.W. Bush were women?

15) What percent of people who voted for Bush or Perot were Women?

16) What percent of men voted for Clinton or Bush?

17) Use a tree to solve: 65% of tricycles produced by Acme Tricycles are produced at
Factory A. The other 35% are produced at Factory B. If 3% of the tricycles produced
at Factory A and 6% of tricycles produced to Factory B are defective. What percent
overall will NOT be defective?

18) Use a tree to solve: 69% of GateWay students are first generation college students.
Of the first generation college students, 79% are part-time. Of those that are not first
generation college students, 66% are part-time. What percent overall are full-time
students?

The probability Iggy passes Math is 0.9 and the probability he passes English is 0.6. If
these are independent events, what’s the probability he…
19) passes Math, but not English?

20) passes English, but not Math?

In a medical study 46% of the patients are on the placebo. What’s the probability…
21) the next three patients we interview are on the placebo?

22) the next two patients are not taking the placebo

MAT142 Mathematics Study Questions ESSAY

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