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MATH 185 – Elementary Statistics

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HW #5

Date________________

Find the number of possible outcomes in the sample space.

1) A math quiz has five true/false questions.

A) 41

C) 32

2) When a button is pressed, a computer

program outputs a random odd number

greater than 1 and less than 9. You press the

button four times.

B) 45

D) 48

A) 117

C) 81

B) 77

D) 68

Find the missing probability.

3) P(not A) = 0.45 P(B) = 0.7 P(A and B) = 0.385 P(A or B) = ?

A) 0.45

B) 0.65

C) 0.865

D) 0.04

4) P(A) = 0.65 P(not B) = 0.45 P(A and B) = 0.3575 P(A or B) = ?

A) 0.195

B) 0.6

C) 0.3

D) 0.8425

5) P(A) = 0.55 P(A or B) = 0.73 P(A and B) = 0.22 P(not B) = ?

A) 0.6

6) P(not A) =

A)

13

20

B) 0.245

C) 0.55

D) 0.62

4

7

7

P(B) =

P(A and B) =

P(A or B) = ?

5

20

100

B)

12

25

C)

13

25

D)

9

200

Worksheet by Kuta Software LLC

-1-

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Find the probability.

7) There are four nickels, four dimes, and four

quarters in your pocket. You randomly pick

a coin. It is a nickel or a dime.

7

» 0.778

9

9

C)

= 0.9

10

A)

10

» 0.909

11

2

D) » 0.667

3

B)

9) A basket contains four apples and five

peaches. One of the apples and two of the

peaches are rotten. You randomly pick a

piece of fruit. It is fresh or it is a peach.

1

= 0.25

4

8

C) » 0.889

9

A)

5

» 0.455

11

2

D) » 0.667

3

8) A cooler contains ten sports drinks: four

lemon-lime and six orange. Three of the

lemon-lime and four of the orange drinks

are cold. The others are still warm. You

randomly grab a bottle. It is orange flavored

or cold.

4

= 0.8

5

9

C)

= 0.9

10

A)

6

» 0.545

11

7

D)

= 0.7

10

B)

10) A bag contains five white jerseys numbered

one to five. The bag also contains five red

jerseys numbered one to five. You

randomly pick a jersey. It is red or has an

odd number.

B)

8

» 0.615

13

5

C) = 0.625

8

A)

1

» 0.333

3

4

D) = 0.8

5

B)

Events A and B are independent. Find the missing probability.

11) P(not A) = 0.7 P(not B) = 0.35 P(A and B) = ?

A) 0.195

C) 0.3375

B) 0.55

D) 0.6

12) P(not A) = 0.65 P(A and B) = 0.175 P(B) = ?

A) 0.25

C) 0.33

B) 0.6

D) 0.5

Worksheet by Kuta Software LLC

-2-

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13) P(A) =

29

40

7

C)

80

A)

1

7

P(B) =

P(A and B) = ?

4

20

3

10

3

D)

4

B)

Find the probability.

14) There are ten shirts in your closet, four blue

and six green. You randomly select one to

wear on Monday and then a different one on

Tuesday. You wear blue shirts both days.

4

» 0.444

9

12

C)

» 0.245

49

A)

4

» 0.082

49

2

D)

» 0.133

15

B)

16) A box of chocolates contains five milk

chocolates and four dark chocolates. You

randomly pick a chocolate and eat it. Then

you randomly pick another piece. The first

piece is milk chocolate and the second piece

is dark chocolate.

8

» 0.088

91

5

C)

» 0.278

18

A)

15) A cooler contains ten bottles of sports drink:

five lemon-lime flavored and five orange

flavored. You randomly grab a bottle and

give it to your friend. Then, you randomly

grab a bottle for yourself. Your friend gets a

lemon-lime and you get an orange.

1

= 0.25

4

2

C)

» 0.133

15

A)

5

» 0.278

18

1

D)

» 0.083

12

B)

17) You flip a coin six times. The coin lands

heads-up every time.

1

» 0.045

22

1

C)

» 0.012

84

A)

10

» 0.256

39

1

D) = 0.25

4

1

» 0.016

64

1

D)

» 0.021

48

B)

B)

18) Suppose that individuals applying for a driver’s license in South Carolina are given 4 attempts to

pass the driver’s test. The following probability distribution shows the number of attempts, X, that

were required by individuals who passed their exam in 2016.

__________________________________

X

1

2

3

4

P(X)

0.25

0.30

0.15

0.30

__________________________________

What is the probability that a randomly selected individual who attained a driver’s

license required more than one attempt?

A) 0.45

B) 0.75

C) 0.65

D) 0.25

Worksheet by Kuta Software LLC

-3-

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19) Which of the following is NOT CORRECT

about a standard normal distribution?

A)

B)

C)

D)

P(Z ³ -2.5) = .4938

P(Z £ 1.5) = .9332

P(Z ³ 2) = .0228

P(0 £ Z £ 1.5) = .4332

20) Evaluate P(-1.25 £ Z £ 2.21)

A) 0.8808

B) 0.4285

C) 0.1192

D) 0.9864

21) Find the z-score in the standard normal

distribution such that the area to the right of

z is 0.12.

A) -1.17

B) -0.88

C) 0.88

D) 1.17

22) It is known that the resistance of carbon resistors is approximately normally distributed with μ =

1200 ohms and σ = 120 ohms. If 10 resistors are randomly selected from a shipment, what is the

probability that the average resistance will be less than 1250 ohms?

A) 0.7652

B) 0.6615

C) 0.9066

D) 0.3385

23) The time that it takes a Clemson student to find parking once they have arrived on campus is

approximately normally distributed with a mean 25 minutes and standard deviation 5 minutes. If a

student arrives on campus at 8:15 AM, what is the probability that the student will find parking

before 8:45 AM?

A) 0.8413

B) 0.1587

C) 0.9772

D) 0.7881

24) The distribution of weights in a large group

is approximately normally distributed. The

mean is 80 kg and approximately 68% of

the weights are between 70 and 90 kg. The

standard deviation of the distribution of

weights is equal to:

A) 20

B) 5

C) 40

D) 10

25) The distribution of weights of a large group

of high school students is normally

distributed with m = 55 kg and s = 5 kg.

Which of the following is true?

A) All are true

B) About 5 percent will weigh more than 63 kg

C) About 16 percent of the students will be over 60 kg

D) Half of them can be expected to weigh less than 55 kg

Worksheet by Kuta Software LLC

-4-

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…

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