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MATH 185 – Elementary Statistics
Name___________________________________
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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
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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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