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.   0.116
B.   0.615
C.   0.5
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.   1860
B.   1680
C.   1600
D.   1540
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.   3866
C.   4006
D.   4990
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.   27,405
B.   657,720
C.   810,000
D.   120
Question #5
How many ways can 6 senators be arranged around a table?
A.   46656
B.   It is impossible to determine
C.   15
D.   720
Question #6
 In how many ways can a traveling salesman travel to 10 states? 
A.   1024
B.   3,628,800
C.   10,000,000,000
D.   6,000,000
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.   3024
B.   262144
C.   126
D.   60480
Question #8
If a couple has 4 children, what is the probability that they have two or more girls?
A.   0.25
B.   0.688
C.   0.375
D.   0.5
Question #9
What is the total number of gender sequences when a couple plans to have 12 children?
A.   4,096
B.   66
C.   239,500,800
D.   132
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.   0.8
C.   0.2
D.   1
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.   0.45
B.   0.25
C.   0.35
D.   0.15
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.   0.214
B.   0.189
C.   0.111
D.   0.151
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.   0.45
B.   0.35
C.   0.15
D.   0.25
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.   0.284
B.   0.333
C.   0.222
D.   0.124
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.   69
B.   88
C.   84
D.   64
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.   2
D.   6
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.   64
B.   46
C.   96
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.   12
C.   6
D.   8
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.   0.1133
B.   0.3992
C.   0.2299
D.   0.3332
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.   0.9984
B.   0.3964
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.   10
C.   0
D.   4

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