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Probability and Statistics

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

The scores on a standardized test have a mean of 73 with a standard deviation of 5. What percentage of the scores would you expect to be between 63 and 83?

a)

68%

b)

95%

c)

99.7%

d)

20%

2.

You study or survey a sample group to learn something about a ...

a)

population.

b)

treatment.

c)

normal distribution.

d)

standard deviation.

3.

Which words or phrases would you associate with an experiment? Select ALL that apply.

a)

control group

b)

treatment

c)

placebo

d)

survey

4.

The average height of 30 randomly selected NBA basketball players is 79 inches. This measurement is a ...

a)

statistic.

b)

parameter.

c)

treatment.

d)

standard deviation.

5.

The average height of all of the basketball players in the NBA is 78 inches. This measurement is a ...

a)

statistic.

b)

parameter.

c)

treatment.

d)

standard deviation.

6.

A streaming service offers 247 movies. The number of ways that a viewer can select one movie to watch on Monday, one to watch on Tuesday, and one to watch on Thursday is a ...

a)

combination, because order doesn't matter.

b)

permutation, because order matters.

c)

permutation, because order doesn't matter.

d)

combination, because order matters.

7.

A streaming service offers 247 movies. The number of ways that a viewer can select four movies to add to a watch list is a ...

a)

combination, because order doesn't matter.

b)

permutation, because order matters.

c)

permutation, because order doesn't matter.

d)

combination, because order matters.

8.

Describe the distribution.

a)

skewed right

b)

skewed left

c)

symmetric

9.

Describe the distribution.

a)

skewed right

b)

skewed left

c)

symmetric

10.

A rabbit's weight has a z-score of 3.1. This means that the rabbit is ...

a)

a little slimmer than other rabbits.

b)

quite a bit slimmer than other rabbits.

c)

a little chunkier than other rabbits.

d)

quite a bit chunkier than other rabbits.

11.

A giraffe's height has a z-score of -0.15. This means that the giraffe is ...

a)

way, way shorter than the average giraffe.

b)

just a little bit shorter than the average giraffe.

c)

just a little bit taller than the average giraffe.

d)

way, way taller than the average giraffe.

12.

What is the probability a passenger on the Titanic survived given they are in first class?

a)

325711\frac{325}{711}

b)

203325\frac{203}{325}

c)

203711\frac{203}{711}

d)

2032201\frac{203}{2201}

13.

What is the probability that someone on the Titanic was a third class passenger who survived?

a)

178711\frac{178}{711}

b)

178706\frac{178}{706}

c)

706711\frac{706}{711}

d)

1782201\frac{178}{2201}

14.

What is the probability that the person picked will be a girl given that they speak German? 

a)

311\frac{3}{11}

b)

330\frac{3}{30}

c)

1130\frac{11}{30}

d)

350\frac{3}{50}

15.

You do a survey to get input from students about next year's Homecoming theme. Which of the following methods would be the LEAST BIASED?

a)

surveying every 10th student who enters the school

b)

surveying all the students in your focus class

c)

surveying 150 10th graders

d)

surveying anyone who scans a QR code posted outside the band room

16.

In theory a six-sided die should land on "2" one-sixth of the time. Which of the following should give you a result closest to exactly one-sixth?

a)

the number of "2"s after 10 rolls

b)

the number of "2"s after 50 rolls

c)

the number of "2"s after 100 rolls

d)

the number of "2"s after 500 rolls

17.

Theoretical probability says that a coin should land on tails 50% of the time. To find the EXPERIMENTAL PROBABILITY of a coin landing on tails, you would have to ...

a)

flip the coin a bunch of times.

b)

find the area and circumference of the coin.

c)

figure out what the coin is made from.

d)

flip the coin once and once only.

18.

What does a z-score tell you about a value?

a)

how far above or below the mean it is, in standard deviations

b)

whether a distribution skews right or left

c)

how big or small a sample is

d)

whether the value is a statistic or a parameter

19.

Which of the following is an example of dependent events?

a)

drawing an Ace from a deck of cards, keeping it, and then drawing a Queen

b)

rolling two "6"s on a standard die

c)

flipping a coin twice and having it land once on heads and once on tails

d)

drawing a green marble from a bag, putting it back, and then drawing a purple marble

20.

You do an experiment to test how sleep affects test scores. Which way of choosing a sample would be MOST BIASED?

a)

selecting the 30 students in each grade with the highest GPA

b)

randomly selecting 30 students from each grade

c)

randomly selecting 100 students from the entire school

d)

selecting every 12th student alphabetically