A+ Answers of the following Questions

Question 1

1. A car dealer has 5 red cars and 3 blue cars. The purchasing department of a company will buy two cars from this dealership. If the purchasing department selects the two cars at random, what is the chance that they choose one red car and one blue car? 

a. 15/28

b. 9/19

c. 9/14

d. none of these

Question 2

A 10-sided die will be rolled some number of times. Identify how many times the die should be rolled if a 1, 4, or 9 is rolled less than 40% of the time.

a. 45 rolls

b. 450 rolls

Question 3

A box has three red balls and four green balls. A gambler bets $1 on red. A ball is randomly chosen. The gambler win $1 if the ball is red, otherwise he loses $1. He will play this game 200 times. The SE for the gambler's net gain is: 

a. $54.13

b. $15.56

c. $14.00

d. $52.70

e. $42.12

Question 1

A box contains two red marbles and one blue marble. A marble is randomly selected, and you win a dollar if there are more than 60% red marbles. Choose one of the following that is better. 

a. 10 selections

b. 100 selections

Question 2

A gambler plays roulette, and makes a $1 bet on four numbers, 400 times. The bet pays 8 to 1. Find the amount of money the CASINO is expected to make. 

a. $52.63

b. $33.33

c. $-21.05

d. $21.05

e. $210.53

Question 3

A gambler plays roulette, and makes a $1 bet on four numbers, 400 times. The bet pays 8 to 1. Find the SD of the box model that would go with this situation. 

a. none of these

b. $2.76

c. $56.75

d. $5.37

e. $61.76

Question 1

A gambler plays roulette 200 times, betting $1 on a split each time. A split pays 17 to 1, and there are 2 ways in 38 to win. (We are interested in the the casino making more than $10.) Find the casino's standard error for the sum. 

a. none of these

b. $10.53

c. $3.10

d. $56.84

e. $4.02

Question 2

A gambler plays roulette 200 times, betting $1 on a split each time. A split pays 17 to 1, and there are 2 chances in 38 to win. Find the chance that the casino makes more than $10 from these plays. 

a. 24.56%

b. 7.5%

c. 69.19%

d. 50.00%

e. 3.60%

Question 3

A gambler plays roulette, and makes a $1 bet on four numbers, 400 times. The bet pays 8 to 1. Find the chance that the casino will win between $30 and $40. 

a. 15.45%

b. 7.88%

c. 63.69%

d. 83.85%

e. 7.73%

Question 1

 A gambler plays roulette, and makes a $1 bet on four numbers, 400 times. The bet pays 8 to 1. Find the standard error for the sum. 

a. $15.80

b. $56.76

c. $61.76

d. none of these

e. $55.24

Question 2

 A group of 50,000 tax forms has 20% with gross income over $50,000. A group of 900 forms is chosen at random for audit. A box model is used to work out the expected value and the standard error for the percentage of people with incomes over $50,000 in the sample. Choose what best describes "sample size". 

a. 20%

b. 180

c. Box

d. Percentage of 1s among the draws

e. 900

Question 3

 A person randomly picks 5 counties out of a state. He then randomly picks 2 town from each county picked. He then randomly picks 3 households from each town. He then interviews each person in the household to see what their preference is with regard to sports: Football, Baseball, Hockey, or Basketball. What type of sampling is this? 

a. Multistage Cluster Sampling

b. Simple Random Sampling

c. none of these

d. Quota Sampling

e. Convenience Sampling

Question 1

 A probability histogram represents chance by area. 

a. True

b. False

Question 2

 A spinner has three numbers on it(1,2,3). Each number has an equal probability of being hit on each spin. A person bets $1 to play the game. He picks a number, then he spins. If his number comes up, he wins $2. He plays this game 100 times. What would be the average amount won per spin on the spinner? 

a. $1.00

b. $100

c. -$1.00

d. $200

e. $0.00

Question 3

 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. 

a. True

b. False

Question 1

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

a. 1/11050

b. 1/5100

c. 169/1020

d. none of these

e. 13/102

Question 2

 We toss a die 300 times. Find the standard error for the expected number of 3s. 

a. 6.45

b. 0.3727

c. 7.06

d. 3.73

e. 0.022

Question 3

 We toss a die 300 times. What is the chance that we get more than sixty 3s? 

a. 12.11%

b. 87.90%

c. 87.89%

d. 6.06%

e. 0.35%

Question 1

 In a large city, 40% of the voters are Democrats. A simple random sample of 100 voters will be taken. What is the chance that there will be exactly 40 Democrats in the sample? 

a. 5%

b. 8%

c. 16%

d. 25%

e. 9%

Question 2

 The probability histogram for the average of the draw will follow the normal curve, even if the contents of the box do not, as long as the histogram is put into standard units, and the number of draws is large. 

a. False

b. True

Question 3

 There are 10 workers and 2 administrators in a company meeting room. Two people will be selected at random without replacement. The chance that both are administrators is: 

a. 1/36

b. 1/66

c. 2/33

d. none of these

e. 1/3