Quiz about P&S End of 9 Weeks Spring-2025

Question 1

Solving probability problems using addition rule: A bag contains 4 red and 5 blue marbles. What is the probability of drawing a red or a blue marble?

Accepted Answer

The probability of drawing a red or a blue marble is 4/9 + 5/9 - 0 = 1

Answer

The probability of drawing a red or a blue marble is 4/9 - 5/9 = -1

Answer

The probability of drawing a red or a blue marble is 4/9 * 5/9 = 20/81

Answer

The probability of drawing a red or a blue marble is 4/9 / 5/9 = 0.8

Question 2

Events A and B are mutually exclusive. If the probability of event A is 0.4 and the probability of event B is 0.3, what is the probability of A or B occurring?

Accepted Answer

0.7

Answer

1.0

Answer

0.5

Answer

0.2

Question 3

Solving probability problems using addition rule: In a group of students, 60% like pizza and 40% like burgers. 30% like both pizza and burgers. What is the probability that a student chosen at random likes either pizza or burgers?

Accepted Answer

0.60 + 0.40 - 0.30 = 0.70

Answer

0.60 - 0.40 = 0.20

Answer

0.60 x 0.40 = 0.24

Answer

0.60 / 0.40 = 1.50

Question 4

If drawing a heart and drawing a spade from a deck of cards are mutually exclusive events, what is the probability of drawing either a heart or a spade?

Accepted Answer

1/2

Answer

1/3

Answer

1/4

Answer

3/4

Question 5

In a group of students, 30% play basketball, 40% play soccer, and 10% play both basketball and soccer. What is the probability that a student chosen at random plays either basketball or soccer?

Accepted Answer

0.60

Answer

0.20

Answer

0.50

Answer

0.10

Question 6

In a standard deck of 52 cards there are 13 diamonds and 13 hearts (red) and 13 spades and 13 clubs (black).  Find the probability of choosing a card at random that is a spade OR a 7

Accepted Answer

4/13

Answer

1/52

Answer

1/13

Answer

17/52

Question 7

The probability of A is given P(A) = .4  and the probability of B is given P(B)=.25.  If the Probability of the intersection (A AND B) is .13, Find the probability of choosing A OR B. Hint - use the addition rule!

Accepted Answer

.52

Answer

.5

Answer

.78

Answer

.13

Question 8

Mrs. Elder has a box containing 6 cracker, 3 peppermints, 6 bubble gums, and 3 licorice sticks. If she randomly chooses one piece from the box, what is the probability that she will grab a cracker or a peppermint?

Accepted Answer

1/2

Answer

peppermint

Answer

1/6

Answer

1/3

Question 9

Which of the following shows how to determine P(shaded number or number less than five)?

Accepted Answer

4/8 + 4/8 - 2/8

Answer

4/9 + 2/8 - 4/8

Answer

4/8 + 6/8 + 2/8

Answer

2/8 + 4/8 - 4/8

Question 10

The probability that Flight 9876 will be late is 0.27. The probability that Flight 123 will be late is 0.11. The probability that both flights will be late is 0.09. What is the probability that Flight 9876 or Flight 123 will be late?

Accepted Answer

0.29

Answer

0.47

Answer

0.38

Answer

0.07

Question 11

Thirty-two percent of families residing in a rural, farming town own a goat and 41% of families own a dog. Twenty-four percent of families own both types of animals. If a family from this town is chosen at random, what is the probability that it owns either a goat or a dog?

Accepted Answer

0.49

Answer

0.15

Answer

0.33

Answer

0.97

Question 12

A box contains 18 blue flashlights, 3 red flashlights, 7 silver flashlights, and 2 black flashlights. The flashlights are identical in size and shape. If one flashlight is chosen at random, what is the probability that the flashlight will be either blue or black?

Accepted Answer

$$\frac{2}{3}$$

Answer

$$\frac{1}{3}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{3}{5}$$

Question 13

The probability of a New York teenager owning a skateboard is 0.37, of owning a bicycle is 0.81 and of owning both is 0.36. If a New York teenager is chosen at random, what is the probability that the teenager owns a skateboard or a bicycle?

Accepted Answer

0.82

Answer

1.18

Answer

0.7

Answer

None of the above

Question 14

If P(A) = 0.24, P(B) = 0.41, and P(A and B) = 0.18, what is P(A or B)?

Accepted Answer

0.47

Answer

0.17

Answer

0.59

Answer

0.65

Question 15

The enrollment at Southburg High School is 1400.  Suppose 550 students take French, 700 take algebra, and 400 take both French and algebra.  What is the probability that a student selected randomly takes French or algebra?

Accepted Answer

17/28

Answer

1250/1400

Answer

700/1400

Answer

550/1400

Question 16

What is the probability of choosing a Honda?

Accepted Answer

.5373

Answer

.5970

Answer

.4627

Answer

.4030

Question 17

What is the probability that a female is chose given they like a Toyota?

Accepted Answer

.6774

Answer

.525

Answer

.4627

Answer

.3143

Question 18

What is the probability that the person picked will be a boy given they speak german?

Accepted Answer

.7273

Answer

.4

Answer

.16

Answer

.22

Question 19

What percentage of males drive sports cars?

Accepted Answer

65%

Answer

35%

Answer

16.25%

Answer

25%

Question 20

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced.
P(white, then purple, then black)

Accepted Answer

1/36

Answer

2/39

Answer

5/41

Answer

6/43

Question 21

Classify the events as independent or dependent.

A ball is selected from a bin of balls numbered 1 through 10. It is replaced, and then a second ball is selected.

Accepted Answer

independent events

Answer

dependent events

Question 22

Use the Multiplication Rule to find the probability.

A coin is tossed and a die rolled.

Find the probability of tossing a tail and then rolling a number greater than 2.

Accepted Answer

1/3

Answer

1/2

Answer

1/6

Answer

1/4

Question 23

A bag contains 20 marbles: 5 blue, 8 green and 7 orange.

Now suppose we choose 3 marbles, returning the previous marble to the bag before choosing the next marble.

Each selection is considered ____________.

Accepted Answer

Independent

Answer

Dependent

Question 24

Bag: 20 marbles, 5 blue

We draw the first marble and get a blue. We do not return it to the bag. What is the probability of the second marble being blue?

Accepted Answer

4/19

Answer

5/20

Answer

4/20

Answer

5/19

Question 25

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced.
P(white, then purple, then black)

Accepted Answer

1/36

Answer

2/39

Answer

5/41

Answer

6/43

Question 26

Find the mean.

Accepted Answer

30

Answer

10

Answer

20

Answer

40

Question 27

FInd the Mean of the given data

Accepted Answer

20.2

Answer

20.7

Answer

14.1

Answer

13.99

Question 28

Given the data find the POPULATION standard Deviation by Calculator.

Accepted Answer

14.0

Answer

14.1

Answer

20.2

Answer

13

Question 29

For the following data find the SAMPLE VARIANCE using the calculator

Accepted Answer

199.078341

Answer

195.9183673

Answer

14.1

Answer

13.99

Question 30

Given the following data set
6, 9, 12, 14, 7, 9, 6, 8, 25, 12, 14
What is the mean of the data set without the outlier(s)?

Accepted Answer

9.7

Answer

9.2

Answer

11.1

Answer

12.4

Question 31

What is the IQR of the Cruisers?

Accepted Answer

6

Answer

4

Question 32

Find the range and the outlier of the given data:
126, 62, 144, 132, 144, 103

Accepted Answer

range: 82   out:62

Answer

range: 62  out:62

Answer

range:82  out:144

Question 33

What is the IQR of the Car Hops?

Accepted Answer

4

Answer

6

Question 34

Given the data set: 1, 2, 3, 6, 9, 11, 45, 102, calculate the percentile for the data value 11 in this set.

Accepted Answer

62.5^thpercentile

Answer

70^th percentile

Answer

72.5^thpercentile

Answer

75^thpercentile

Question 35

What is the Z-score for Tina if she got a 31 on the ACT, the mean was 23 and the SD was 4?

Accepted Answer

+2.00

Answer

+0.20

Answer

-2.00

Answer

-0.20

Question 36

Consider the score distribution of 15 students given below:

83, 72, 87, 79, 82, 77, 80, 73, 86, 81, 79, 82, 79, 74, 74.

The mean in the given score distribution of 15 students can also be interpreted as ______.

Accepted Answer

seven students scored higher than 79.

Answer

seven students scored lower than 79.

Answer

seven students scored lower than 79 and seven students scored higher than 79.

Answer

fourteen students scored lower than 79.

Question 37

The heights of 25 students in Mrs. Garrett's statistics class have a mean of 67 inches and a standard deviation of 4.29 inches. Boris, a member of the class is 75 inches tall. His z-score is 1.86. Interpret this value.

Accepted Answer

Boris's height is 1.86 standard deviations above the mean.

Answer

Boris's height is in the 186th percentile.

Answer

Boris is really tall.

Answer

Boris's height is almost 3 deviations above the mean.

Question 38

Based on data from the 2016 Current Population Survey, the percent of residents age 65 or older in the 50 states and the District of Columbia has a mean 15.62% and standard deviation 1.83%. The standardized score for Florida is z = 2.34. Find the percent of the state's residents that were 65 or older.

Accepted Answer

19.9%

Answer

21.1%

Answer

23.4%

Answer

18.7%

Question 39

Find the 46th percentile of this set of 11 values

5, 12, 16, 18, 22, 25, 30, 31, 32, 33, 39

Accepted Answer

25

Answer

5.06

Answer

5

Answer

22

Question 40

What is the score for something in the 87th PERCENTILE of the given data set.

Accepted Answer

30

Answer

17

Answer

28

Answer

32

Question 41

All of the below sets have the same mean.
Set 1-Standard Deviation=3.1
Set 2-Standard Deviation=4.9
Set 3-Standard Deviation=1.7
Set 4-Standard Deviation=3.2
Which set of data probably has the points closest to the mean?

Accepted Answer

3

Answer

1

Answer

2

Answer

4

P&S End of 9 Weeks Spring-2025

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