Calculus and Above

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Question 1

There are 10 workers and 2 administrators in a company meeting room. Two people will be selected at random without replacement. The chance that the second person is a worker given that the first person is an administrator is:

Answer

a.

5/6

b.

15/66

c.

5/33

d.

10/11

e.

none of these

5 points

Question 2

Find the probability that three cards are drawn from a deck, and you get two reds, followed by a black.

Answer

a.

13/102

b.

169/1020

c.

1/5100

d.

none of these

e.

1/11050

5 points

Question 3

A die is tossed 50 times. Find the expected number of 4s.

Answer

a.

16

b.

10

c.

36

d.

25

e.

8.33

5 points

Question 4

A die is tossed 50 times. We are counting 4s. Find the standard error for the # XXXXX 4s.

Answer

a.

0.98

b.

15.81

c.

18.63

d.

2.64

e.

5.63

5 points

Question 5

A die is tossed 5000 times. About how many sixes are expected?

Answer

a.

1250

b.

416

c.

2500

d.

833

e.

650

5 points

Question 6

A die will be rolled some number of times, and you win $1 if it shows an ace(1) more than 20% of the time. Which is better?

Answer

a.

600 rolls

b.

60 rolls

5 points

Question 7

As a person increases the number of tosses of a fair coin, the actual number of heads will get further and further away from the number of tosses divided by two.

Answer

a.

False

b.

True

5 points

Question 8

If a coin is tossed 100 times, it is not likely that the number of heads will be exactly 50, but it is likely that the percentage of heads will be exactly 50%.

Answer

a.

False

b.

True

5 points

Question 9

A die is tossed, and you win $1 if you get more than 14% 4s. How many tosses should you make?

Answer

a.

60

b.

600

5 points

Question 10

A gambler bets $1 on the number "19" 1600 times in roulette. This bet pays 35 to 1. How much money does the gambler expect to win?

Answer

a.

$0

b.

$-99.86

c.

$-68.45

d.

$-84.21

e.

$-597.78

5 points

Question 11

A gambler bets $1 on the number "19" 1600 times in roulette. This bet pays 35 to 1. What is the give-or-take on the estimate of his winnings?

Answer

a.

$96.58

b.

$84.36

c.

$23.50

d.

$184.25

e.

$230.50

5 points

Question 12

Someone is going to play roulette 270 times, betting a dollar on a split each time. A split pays 17 to 1. Find the gambler's expected net gain.

Answer

a.

$14.26

b.

$-0.86

c.

$-14.21

d.

$-10.53

e.

$-5.26

5 points

Question 13

Someone is going to play roulette 270 times, betting $1 on a split each time. A split pays 17 to 1. Find the standard error for the gambler's net gain.

Answer

a.

$66.04

b.

$34.67

c.

$15.91

d.

$1085.21

e.

$24.87

5 points

Question 14

Someone plays roulette 270 times, betting $1 on a split each time. A split pays 17 to 1. Find the chance that the gambler makes more than $10.

Answer

a.

36.32%

b.

72.63%

c.

27.37%

d.

41.36%

e.

50%

5 points

Question 15

Find the chance that if you toss a pair of dice, you get 6 for the sum.

Answer

a.

1/12

b.

5/36

c.

1/36

d.

1/6

e.

none of these

5 points

Question 16

The probability histogram for the sum of the draws follows the normal curve, even if the contents of the box do not. This is true is the number of the draws is reasonably large.

Answer

a.

False

b.

True

5 points

Question 17

Probability histograms converge toward the empirical histogram as the number of repetitions increase.

Answer

a.

False

b.

True

5 points

Question 18

Quota sampling is a better way of getting good data than taking a multistage cluster sample.

Answer

a.

True

b.

False

5 points

Question 19

In a sample survey, a portion of the population is taken, and is surveyed.

Answer

a.

True

b.

False

5 points

Question 20

The population of interest for "Dancing with the Stars" is all of the people who watched the show. From this population, people call in for their favorite. What is the best description of bias that takes place?

Answer

a.

none of these

b.

simple random sampling

c.

cluster bias

d.

non-response bias

e.

selection bias

Question 1

There are 10 workers and 2 administrators in a company meeting room. Two people will be selected at random without replacement. The chance that the second person is a worker given that the first person is an administrator is:

Answer

a.

5/6

b.

15/66

c.

5/33

d.

10/11

e.

none of these

5 points

Question 2

Find the probability that three cards are drawn from a deck, and you get two reds, followed by a black.

Answer

a.

13/102

b.

169/1020

c.

1/5100

d.

none of these

e.

1/11050

5 points

Question 3

A die is tossed 50 times. Find the expected number of 4s.

Answer

a.

16

b.

10

c.

36

d.

25

e.

8.33

5 points

Question 4

A die is tossed 50 times. We are counting 4s. Find the standard error for the # XXXXX 4s.

Answer

a.

0.98

b.

15.81

c.

18.63

d.

2.64

e.

5.63

5 points

Question 5

A die is tossed 5000 times. About how many sixes are expected?

Answer

a.

1250

b.

416

c.

2500

d.

833

e.

650

5 points

Question 6

A die will be rolled some number of times, and you win $1 if it shows an ace(1) more than 20% of the time. Which is better?

Answer

a.

600 rolls

b.

60 rolls

5 points

Question 7

As a person increases the number of tosses of a fair coin, the actual number of heads will get further and further away from the number of tosses divided by two.

Answer

a.

False

b.

True

5 points

Question 8

If a coin is tossed 100 times, it is not likely that the number of heads will be exactly 50, but it is likely that the percentage of heads will be exactly 50%.

Answer

a.

False

b.

True

5 points

Question 9

A die is tossed, and you win $1 if you get more than 14% 4s. How many tosses should you make?

Answer

a.

60

b.

600

5 points

Question 10

A gambler bets $1 on the number "19" 1600 times in roulette. This bet pays 35 to 1. How much money does the gambler expect to win?

Answer

a.

$0

b.

$-99.86

c.

$-68.45

d.

$-84.21

e.

$-597.78

5 points

Question 11

A gambler bets $1 on the number "19" 1600 times in roulette. This bet pays 35 to 1. What is the give-or-take on the estimate of his winnings?

Answer

a.

$96.58

b.

$84.36

c.

$23.50

d.

$184.25

e.

$230.50

5 points

Question 12

Someone is going to play roulette 270 times, betting a dollar on a split each time. A split pays 17 to 1. Find the gambler's expected net gain.

Answer

a.

$14.26

b.

$-0.86

c.

$-14.21

d.

$-10.53

e.

$-5.26

5 points

Question 13

Someone is going to play roulette 270 times, betting $1 on a split each time. A split pays 17 to 1. Find the standard error for the gambler's net gain.

Answer

a.

$66.04

b.

$34.67

c.

$15.91

d.

$1085.21

e.

$24.87

5 points

Question 14

Someone plays roulette 270 times, betting $1 on a split each time. A split pays 17 to 1. Find the chance that the gambler makes more than $10.

Answer

a.

36.32%

b.

72.63%

c.

27.37%

d.

41.36%

e.

50%

5 points

Question 15

Find the chance that if you toss a pair of dice, you get 6 for the sum.

Answer

a.

1/12

b.

5/36

c.

1/36

d.

1/6

e.

none of these

5 points

Question 16

The probability histogram for the sum of the draws follows the normal curve, even if the contents of the box do not. This is true is the number of the draws is reasonably large.

Answer

a.

False

b.

True

5 points

Question 17

Probability histograms converge toward the empirical histogram as the number of repetitions increase.

Answer

a.

False

b.

True

5 points

Question 18

Quota sampling is a better way of getting good data than taking a multistage cluster sample.

Answer

a.

True

b.

False

5 points

Question 19

In a sample survey, a portion of the population is taken, and is surveyed.

Answer

a.

True

b.

False

5 points

Question 20

The population of interest for "Dancing with the Stars" is all of the people who watched the show. From this population, people call in for their favorite. What is the best description of bias that takes place?

Answer

a.

none of these

b.

simple random sampling

c.

cluster bias

d.

non-response bias

e.

selection bias

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