1.One ball will be drawn at random from a box containing: 3 cyan balls, 5 magenta balls,and 7 yellow balls. What is the probability that the ball will be cyan? *

Option:

0.2

0.8

0.4

0.6

2.What is the probability that the ball will not be cyan? *

Option:

0.8

0.2

0.4

0.6

3.Instead of taking just one draw, consider taking two draws. You take the second drawwithout returning the first draw to the box. We call this sampling without replacement.What is the probability that the first draw is cyan and that the second draw is not cyan? *

Option:

0.15

0.17

0.19

0.20

4.Now repeat the experiment, but this time, after taking the first draw and recording thecolor, return it to the box and shake the box. We call this sampling with replacement. Whatis the probability that the first draw is cyan and that the second draw is not cyan? *

Option:

0.15

0.17

0.19

0.20

5.Two teams, say the Celtics and the Cavs, are playing a seven game series. The Cavs area better team and have a 60% chance of winning each game. What is the probability thatthe Celtics win at least one game? *

Option:

0.4

0.6

0.8

0.9

6.Two teams, say the Cavs and the Warriors, are playing a seven game championshipseries. The first to win four games, therefore, wins the series. The teams are equally good sothey each have a 50-50 chance of winning each game. If the Cavs lose the first game, whatis the probability that they win the series? *

Option:

0.24

0.34

0.47

0.51

7.Which of the following is false about the central limit theorem (CLT)? *

Option:

As the sample size increases, the sampling distribution of the mean is more likely to be nearly normal, regardless of the shape of the original population distribution.

The CLT states that the sampling distribution will be centered at the true population parameter.

If the population distribution is normal, the sampling distribution of the mean will also be nearly normal, regardless of the sample size.

If we take more samples from the original population, the sampling distribution is more likely to be nearly normal.

8.Assume IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. If a person is randomly selected, find each of the requested probabilities. Here, x, denotes the IQ of the randomly selected person.P(x > 65) *

Option:

0.7

0.8

0.9

None of these

9.Assume the same mean and standard deviation of IQ scores that was described in question above. A high school offers a special program for gifted students. In order to qualify, students must have IQ scores in the top 5%. What is the minimum qualifying IQ? *

Option:

139.8

141

198

124.7

10.If one person is randomly selected in above scenario, what is the probability that their IQ score is greater than 110? *

Option:

0.57

0.75

0.25

None of above

11.You are taking a 15-question multiple choice quiz and each question has 5 options (a,b,c,d,e) and you randomly guess every question. How many questions do you expect to answer correctly on average? *

Option:

5

7

3

2

12.Suppose you own a catering company. You hire local college students as servers. Not being the most reliable employees, there is an 80% chance that any one server will actually show up for a scheduled event. For a wedding scheduled on Saturday, you need at least 5 servers. Suppose you schedule 5 employees, what is the probability that all 5 come to work? 32.8% *

Option:

0.45

0.34

0.32

0.54