Statistics, Problem set 3

Name: ______________________________________

Multiple Choice:

1. To a mathematician, a probability is:
   1. something that can't be calculated
   2. an integer greater than one
   3. a personal belief
   4. a real number between 0 and 1
2. What is the probability of tossing four heads in a row with a fair coin?
   1. .0625
   2. 6,250,000
   3. .25
   4. .5
3. What is wrong with {0, a blueberry, 7, 2, 9, 14, the letter p} as a set?
   1. It makes no sense.
   2. It is out of order.
   3. The number 2 is repeated.
   4. Nothing
4. Our universe is "all the boroughs of NYC." What is the complement of the set {Brooklyn}?
   1. {Queens}
   2. {The Bronx}
   3. {The Bronx, Queens, Manhattan, Staten Island}
   4. ∅
5. S = {5, 7, 9, 12, 23, 46, 78}
   T = {5, 24, 79}
   S ⋃ T =
   1. {5}
   2. {5, 7, 9, 12, 23, 24, 46, 78, 79}
   3. {5, 9, 23, 78}
   4. ∅
6. S = {5, 7, 9, 12, 23, 46, 78}
   T = {5, 24, 79}
   S ⋂ T =
   1. {5, 7, 9, 12, 23, 46, 78}
   2. {5}
   3. {5, 9, 23, 78}
   4. ∅
7. Imagine a multiple choice test with three questions, each with five answers.
   What are the odds that two students guessing randomly will turn in the exact same test?
   (By same test, I mean each answer is identical.)
   1. 1 in 5
   2. 1 in 3
   3. 1 in 125
   4. 1 in 15
8. If you have a fair, 20-sided die, what are the chances of rolling a seven?
   1. 1 in 7
   2. 1 in 12
   3. 1 in 6
   4. 1 in 20
9. Let's say you have a menu with 7 appetizers, 4 entrees, and 6 desserts. How many possible dinners are there?
   1. 17
   2. 168
   3. 200
   4. 1024