Test 2 Review(Test) docx - Rob Grondahl

Test Name: Test 2 Review

1.

A standard six-sided die is rolled. What is the probability of rolling a number greater than or equal to 3? Express your

answer as a fraction or a decimal number rounded to four decimal places.

2.

A box contains 27 red marbles, 33 white marbles, and 85 blue marbles. If a marble is randomly selected from the box, what

is the probability that it is red? Express your answer as a fraction or a decimal number rounded to four decimal places.

3.

A standard pair of six-sided dice is rolled. What is the probability of rolling a sum of 10? Express your answer as a fraction

or a decimal number rounded to four decimal places.

4.

A coin is tossed 6 times. What is the probability of getting all heads? Express your answer as a fraction or a decimal number

rounded to four decimal places.

5.

Write out the sample space for the given experiment. Separate your answers using commas.

When deciding what you want to put into a salad for dinner at a restaurant, you will choose one of the following extra

toppings: asparagus, mushrooms. Also, you will add one of following meats: bacon, shrimp. Lastly, you will decide on one

of the following dressings: vinaigrette, ranch. (Note: Use the following letters to indicate each choice: A for asparagus, M

for mushrooms, B for bacon, S for shrimp, V for vinaigrette, and R for ranch.)

6.

What is the probability that a randomly selected person will have a birthday in September? Assume that this person was not

born in a leap year. Express your answer as a simplified fraction or a decimal rounded to four decimal places.

7.

A box contains 17 large marbles and 20 small marbles. Each marble is either green or white. 8 of the large marbles are

green, and 3 of the small marbles are white. If a marble is randomly selected from the box, what is the probability that it is

small or green? Write your answer as a fraction or a decimal number rounded to four decimal places.

8.

A standard pair of six-sided dice is rolled. What is the probability of rolling a sum greater than or equal to 11? Write your

answer as a fraction or a decimal number rounded to four decimal places.

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9.

A mail order company classifies its customers by gender and location of residence. The research department has gathered

data from a random sample of 1532 customers. The data is summarized in the table below.

Gender and Residence of Customers

Males Females

150 60

Apartment

107 173

Dorm

222 209

With Parent(s)

Sorority/Fraternity House 231 50

58

272

Other

What is the probability that a customer is female and lives with her parents? Write your answer as a fraction or a decimal

number rounded to four decimal places.

10.

A newspaper company classifies its customers by gender and location of residence. The research department has gathered

data from a random sample of 1842 customers. The data is summarized in the table below.

Gender and Residence of Customers

Males Females

184 171

Apartment

69

153

Dorm

248

159

With Parent(s)

215

263

Sorority/Fraternity House

237

143

Other

What is the probability that a customer is not female or does not live in 'Other'? Write your answer as a fraction or a decimal

number rounded to four decimal places.

11.

Determine whether the following events are mutually exclusive.

Choosing a student who is a senior or a mathematics major from a nearby university to participate in a research study.

Answer:

12.

A) Mutually Exclusive

B) Not Mutually Exclusive

Choose the value below that can NOT be a probability.

Answer:

A)

2

9

B) 1

C) 120%

D) 0.7

2

13.

Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a

jack for the second card drawn, if the first card, drawn without replacement, was a king? Write your answer as a fraction or a

decimal number rounded to four decimal places.

14.

There are 95 students in a basic math class. The instructor must choose two students at random.

Students in a Basic Math Class

Males Females

7

10

Freshmen

15

Sophomores 8

17

17

Juniors

2

19

Seniors

What is the probability that a sophomore female and then a junior female are chosen at random? Write your answer as a

fraction or a decimal number rounded to four decimal places.

15.

You are ordering a new home theater system that consists of a TV, surround sound system, and DVD player. You can

choose from 6 different TVs, 12 types of surround sound systems, and 18 types of DVD players. How many different home

theater systems can you build?

16.

Mr. Connor's business class has 106 students, classified by academic year and gender, as illustrated in the table. Mr. Connor

randomly chooses one student to collect yesterday's work.

Mr. Connor's Business Class

Males Females

10

Freshmen 9

5

Sophomores 18

12

16

Juniors

17

19

Seniors

Step 1. What is the probability that he selects a female, given that he chooses randomly from only the sophomores? Enter

your answer as a fraction or a decimal rounded to four decimal places.

Step 2. What is the probability that he selects a sophomore, given that he chooses a female? Enter your answer as a fraction

or a decimal rounded to four decimal places.

17.

How many ways can Rudy choose 5 pizza toppings from a menu of 16 toppings if each topping can only be chosen once?

18.

A person tosses a coin 19 times. In how many ways can he get exactly 12 heads?

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19.

You are ordering a hamburger and can get up to 7 toppings, but each topping can only be used once. You tell the cashier to

surprise you with the toppings you get. What is the probability that you get 4 toppings?

20.

In how many ways can the letters in the word 'Treatment' be arranged?

21.

Consider the following data:




3 4 5 6 7

 =
 0.2 0.3 0.1 0.2 0.2

Step 1. Find the expected value (  ). Round your answer to one decimal place.

Step 2. Find the variance. Round your answer to one decimal place.

Step 3. Find the standard deviation. Round your answer to one decimal place.

Step 4. Find the value of  ? 6. Round your answer to one decimal place.

Step 5. Find the value of  ? 4. Round your answer to one decimal place.

22.

Classify the following as either a discrete random variable or a continuous random variable.

The number of words in your textbook.

Answer:

A) Discrete

B) Continuous

23.

Classify the following as either a discrete random variable or a continuous random variable.

The percentage of correct questions on a test for your statistics class.

Answer:

A) Discrete

B) Continuous

4

24.

Determine whether or not the distribution is a probability distribution and select the reason why or why not.




0 1 9

 =
 0.41 0.6 0.06

Answer:

A) Yes

B) No

A) Since the probabilities lie inclusively between 0 and 1 and the sum of the probabilities is equal to 1.

B) Since at least one of the probability values is greater than 1 or less than 0.

C) Since the sum of the probabilities is not equal to 1.

D) Since the sum of the probabilities is equal to 1.

E) Since the probabilities lie inclusively between 0 and 1.

25.

In the long run, which plan has the higher payout?

Plan A

Payout





?$30,000

0.2

?$10,000

0.41

?$5000

0.39

Answer:

Plan B

Payout 



?$5000

0.61

$40,000

0.27

$60,000

0.12

A) Plan A

B) Plan B

26.

A student takes an exam containing 15 true or false questions. If the student guesses, what is the probability that he will get

exactly 4 questions right? (Round your answer to 3 decimal places)

27.

A certain insecticide kills 60% of all insects in laboratory experiments. A sample of 7 insects is exposed to the insecticide in

a particular experiment. What is the probability that exactly 5 insects will die? (Round your answer to 3 decimal places)

28.

A quality control inspector has drawn a sample of 15 light bulbs from a recent production lot. Suppose that 60% of the

bulbs in the lot are defective. What is the expected value of the number of defective bulbs in the sample? Do not round your

answer.

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