Statistics, Test 1


Name: _______________________

Multiple Choice:

  1. 42 + 9 * 5 =
    1. 61
    2. 125
    3. 85
    4. 150
  2. For x from 1 to 3, Σx4 =
    1. 65
    2. 100
    3. 125
    4. 180
  3. For x from 1 to 5, (Σx)2 =
    1. 225
    2. 30
    3. 57
    4. 25
  4. What is wrong with {0, 7, 9, 14, 2, 23542} as a set?
    1. It makes no sense.
    2. It is out of order.
    3. The number 2 is repeated.
    4. Nothing.
  5. Our universe is "all people on the planet." What is the complement of the set {people named Beth}?
    1. The empty set.
    2. All people not named Beth.
    3. All people.
    4. All other people named Beth.
  6. S = {34, 44, 54, 64, 74, 84}
    T = {5, 9, 44, 78}
    S ⋃ T =
    1. {5, 9, 34, 44, 54, 64, 74, 78, 84}
    2. {44}
    3. {5, 9, 34, 44, 44, 54, 64, 74, 78, 84}
    4. ∅
  7. S = {34, 44, 54, 64, 74, 84}
    T = {5, 9, 44, 78}
    S ⋂ T =
    1. {5, 9, 34, 44, 54, 64, 74, 78, 84}
    2. {44}
    3. {5, 9, 34, 44, 44, 54, 64, 74, 78, 84}
    4. ∅
  8. Imagine a multiple choice test with four 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 125
    3. 1 in 625
    4. 1 in 3125
  9. If a roulette wheel has 36 numbers, what are the odds of a seven coming up?
    1. 1 in 7
    2. 1 in 12
    3. 1 in 36
    4. No one can say
  10. Let's say the odds of someone in your building being picked for a tax audit on any given day are one in a hundred thousand. Your neighbor is picked for a tax audit today. What the odds of someone else in the building being picked tomorrow?
    1. One in ten billion (1/100000 * 1/100000)
    2. Very good: your building is on a lucky streak.
    3. Very bad: your building won't be "due" again for a while.
    4. One in a hundred thousand
  11. Your friend has never had a broken bone before in 10,000 days of living. Her leg is freshly broken today. What are the odds of her having a broken leg tomorrow?
    1. 1 in 365
    2. 1 in 2
    3. Can't say: the events are not independent.
    4. 1 in 10,000
  12. At a restaurant, a person can choose soup, salad, or oysters, followed by steak, chicken, or pasta, followed by brandy or cake or ice cream.
    How many possible dinners are there?
    1. 3
    2. 9
    3. 27
    4. 81
  13. 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
  14. 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
  15. What is wrong with {0, the letter p, 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 letter p is repeated.
    4. Nothing
  16. Our universe is "all the states of the US." What is the complement of the set {New York, Texas}?
    1. {California, Alaska}
    2. {New Jersey, Alabama, Delaware}
    3. The set of the other 48 states.
    4. ∅
  17. 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. ∅
  18. 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. ∅
  19. 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
  20. Let's say you have a menu with 6 appetizers, 4 entrees, and 5 desserts. How many possible dinners are there?
    1. 15
    2. 120
    3. 200
    4. 1024