Math 227 - Statistics » Winter 2024 » Module III Quiz
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Question #1
If a card is randomly selected from an ordinary 52-card deck, then find the probability that it will be a black or a face card.
A.
0.615
B.
0.5
C.
0.116
D.
0.731
Question #2
How many different 4 letter words (including nonsense words) can be made from the letters of FRVWXPSE, if letters cannot be repeated?
A.
1600
B.
1540
C.
1680
D.
1860
Question #3
How many different 4 letter words (including nonsense words) can be made from the letters of FRVWXPSE, if the letters can be repeated?
A.
4096
B.
4006
C.
4990
D.
3866
Question #4
Suppose an organization elects its officers from a board of trustees. If there are 30 trustees, how many groups of size 4 can be selected?
A.
657,720
B.
27,405
C.
120
D.
810,000
Question #5
How many ways can 6 senators be arranged around a table?
A.
It is impossible to determine
B.
46656
C.
720
D.
15
Question #6
In how many ways can a traveling salesman travel to 10 states?
A.
6,000,000
B.
3,628,800
C.
1024
D.
10,000,000,000
Question #7
4 FBI agents are to be selected from a group of 9 to investigate a case. In how many different ways can the agents be selected?
A.
126
B.
3024
C.
60480
D.
262144
Question #8
If a couple has 4 children, what is the probability that they have two or more girls?
A.
0.375
B.
0.688
C.
0.5
D.
0.25
Question #9
What is the total number of gender sequences when a couple plans to have 12 children?
A.
132
B.
239,500,800
C.
4,096
D.
66
Question #10
On a multiple-choice test, each question has 5 possible answers. If you make a random guess on the first question, what is the probability that you are correct?
A.
0.5
B.
0.2
C.
1
D.
0.8
Question #11
Two fair dice are rolled. Find the probability of each of the following events. (Hint: Construct a sample space). Getting even dots on both dice
A.
0.15
B.
0.25
C.
0.35
D.
0.45
Question #12
Two fair dice are rolled. Find the probability of each of the following events. (Hint: Construct a sample space). ) Getting a sum of 5 on both dice
A.
0.111
B.
0.189
C.
0.151
D.
0.214
Question #13
Two fair dice are rolled. Find the probability of each of the following events. (Hint: Construct a sample space). Getting an even number of dots on the first die and an odd number on the second die.
A.
0.35
B.
0.15
C.
0.25
D.
0.45
Question #14
The following table lists the grade distribution of a randomly selected Statistics class from a university. Find the probability of getting an A in this class based on the data provided. Provide your answer in decimal form. Round your answer to 3 decimal points Grade -- Freq A--8 B--6 C--15 D--2 F--5
A.
0.222
B.
0.124
C.
0.284
D.
0.333
Question #15
Using the digits 1, 2, 3 and 5, how many 4-digit numbers can be formed if The first digit must be 1 and repetition of the digits is allowed?
A.
88
B.
84
C.
64
D.
69
Question #16
Using the digits 1, 2, 3 and 5, how many 4-digit numbers can be formed if The first digit must be 1 and repetition of the digits is not allowed?
A.
4
B.
8
C.
6
D.
2
Question #17
Using the digits 1, 2, 3 and 5, how many 4-digit numbers can be formed if The number must be divisible by 2 and repetition is allowed?
A.
96
B.
46
C.
64
D.
62
Question #18
Using the digits 1, 2, 3 and 5, how many 4-digit numbers can be formed if The number must be divisible by 2 and repetition is not allowed?
A.
10
B.
8
C.
12
D.
6
Question #19
At a store that has 1500 CD's and 980 DVD's in stock, 10 of the CD's and 4 of the DVD's are known to have a scratch on them. If a customer picks a disk at random, what is the probability that it will be a DVD or scratched?
A.
0.3332
B.
0.1133
C.
0.3992
D.
0.2299
Question #20
At a store that has 1500 CD's and 980 DVD's in stock, 10 of the CD's and 4 of the DVD's are known to have a scratch on them. If a customer picks a disk at random, what is the probability that it will be a CD or not scratched?
A.
0.3964
B.
0.9984
C.
0.6624
D.
0.8894
Question #21
At a store that has 1500 CD's and 980 DVD's in stock, 10 of the CD's and 4 of the DVD's are known to have a scratch on them. If a customer picks a disk at random, what is the probability that it will be a DVD or a CD?
A.
1
B.
0
C.
10
D.
4
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