True / False Questions: please reply to 8 of your choice – if it is false, pleas
ID: 3127921 • Letter: T
Question
True / False Questions: please reply to 8 of your choice – if it is false, pleased provide a brief reason why.
1.
The probability of rolling a 3 or 2 on a single die is an example of conditional probability.
True False
2.
The probability of rolling a 3 or 2 on a single die is an example of mutually exclusive events.
True False
3.
An individual can assign a subjective probability to an event based on the individual's knowledge about the event.
True False
4.
To apply the special rule of addition, the events must be mutually exclusive.
True False
5.
A joint probability measures the likelihood that two or more events will happen concurrently.
True False
6.
The joint probability of two independent events, A and B, is computed as P(A and B) = P(A) P(B).
True False
7.
The joint probability of two events, A and B, that are not independent is computed as P(A and B) = P(A) P(B|A).
True False
8.
A coin is tossed four times. The joint probability that all four tosses will result in a head is ¼ or 0.25.
True False
9.
If there are "m" ways of doing one thing, and "n" ways of doing another thing, the multiplication formula states that there are (m) × (n) ways of doing both.
True False
10.
A combination of a set of objects is defined by the order of the objects.
True False
11.
The complement rule states that the probability of an event not occurring is equal to one minus the probability of its occurrence.
True False
12.
If two events are mutually exclusive, then P(A and B) = P(A)P(B).
True False
Multiple Choice – please reply to 6 of your choice – you need show work and I will post the solution shortly after the due date and you will have to explain / revise
1.
A firm offers routine physical examinations as part of a health service program for its employees. The exams showed that 8% of the employees needed corrective shoes, 15% needed major dental work, and 3% needed both corrective shoes and major dental work. What is the probability that an employee selected at random will need either corrective shoes or major dental work?
A.
0.20
B.
0.25
C.
0.50
D.
1.00
2.
A survey of top executives revealed that 35% of them regularly read Time magazine, 20% read Newsweek, and 40% read U.S. News & World Report. A total of 10% read both Time and U.S. News & World Report. What is the probability that a particular top executive reads either Time or U.S. News & World Report regularly?
A.
0.85
B.
0.06
C.
1.00
D.
0.65
3.
A study by the National Park Service revealed that 50% of the vacationers going to the Rocky Mountain region visit Yellowstone Park, 40% visit the Grand Tetons, and 35% visit both. What is the probability that a vacationer will visit at least one of these magnificent attractions?
A.
0.95
B.
0.35
C.
0.55
D.
0.05
4.
A sales representative calls on four hospitals in Westchester County. It is immaterial what order he calls on them. How many ways can he organize his calls?
A.
4
B.
24
C.
120
D.
37
5.
What does equal?
A.
640
B.
36
C.
10
D.
120
6.
In a management trainee program, 80% of the trainees are female, 20% male. A total of 90% of the females attended college, while 78% of the males attended college. A management trainee is selected at random. What is the probability that the person selected is a female who did NOT attend college?
A.
0.20
B.
0.08
C.
0.25
D.
0.80
7.
In a management trainee program, 80% of the trainees are female, 20% male. A total of 90% of the females attended college, while 78% of the males attended college. A management trainee is selected at random. What is the probability that the person selected is a female who did attend college?
A.
0.20
B.
0.08
C.
0.25
D.
0.72
8.
In a management trainee program, 80% of the trainees are female, 20% male. A total of 90% of the females attended college, while 78% of the males attended college. A management trainee is selected at random. What is the probability that the person selected is a male who did NOT attend college?
A.
0.044
B.
0.440
C.
0.256
D.
0.801
9.
In a management trainee program, 80% of the trainees are female, 20% male. A total of 90% of the females attended college, while 78% of the males attended college. A management trainee is selected at random. What is the probability that the person selected is a male who did NOT attend college?
A.
P (male) P (did not attend college | male)
B.
P (did not attend college) P (male | did not attend college)
C.
P (male) P (did not attend college)
D.
P (did not attend college)
10.
In a management trainee program, 80% of the trainees are female, 20% male. A total of 90% of the females attended college, while 78% of the males attended college. A management trainee is selected at random. What is the probability that the person selected is a female who did attend college?
A.
P (female) P (did not attend college | female)
B.
P (did attend college) P (female | did not attend college)
C.
P (female) P (did attend college | female)
D.
P (did attend college)
PERMUTATIONS AND COMBINATIONS please reply to 3 of your choice –show work but I will post the solution shortly after the due date and you will have to explain / revise
1.
You have the assignment of designing color codes for different parts. Three colors are used to code on each part. Once a combination of three colors is used—such as green, yellow, and red—these three colors cannot be rearranged to use as a code for another part. If there are 35 combinations, how many colors were available?
A.
5
B.
7
C.
9
D.
11
2.
A developer of a new subdivision wants to build homes that are all different. There are three different interior plans that can be combined with any of five different home exteriors. How many different homes can be built?
A.
8
B.
10
C.
15
D.
30
3.
Six basic colors are used in decorating a new condominium. They are applied to a unit in groups of four colors. One unit might have gold as the principal color, blue as a complementary color, red as the accent color, and touches of white. Another unit might have blue as the principal color, white as the complementary color, gold as the accent color, and touches of red. If repetitions are permitted, how many different units can be decorated?
A.
7,825
B.
25
C.
125
D.
1,296
4.
A rug manufacturer has decided to use seven compatible colors in her rugs. However, in weaving a rug, only five spindles can be used. In advertising, the rug manufacturer wants to indicate the number of different color groupings for sale. How many color groupings using the seven colors taken five at a time are there? (This assumes that five different colors will go into each rug—in other words, there are no repetitions of color.)
A.
7
B.
21
C.
840
D.
42
MUTUALLY EXCLUSIVE/ MISC please reply to 5 of your choice –show work but I will post the solution shortly after the due date and you will have to explain / revise
1.
Each salesperson in a large department store chain is rated on their sales ability and their potential for advancement. The data for the 500 sampled salespeople are summarized in the following table.
What is the probability that a salesperson selected at random will have average sales ability and good potential for advancement?
A.
0.09
B.
0.12
C.
0.30
D.
0.525
2.
Each salesperson in a large department store chain is rated on their sales ability and their potential for advancement. The data for the 500 sampled salespeople are summarized in the following table.
What is the probability that a salesperson selected at random will have below average sales ability and fair potential for advancement?
A.
0.032
B.
0.10
C.
0.16
D.
0.32
3.
Each salesperson in a large department store chain is rated on their sales ability and their potential for advancement. The data for the 500 sampled salespeople are summarized in the following table.
What is the probability that a salesperson selected at random will have an excellent potential for advancement given they also have above average sales ability?
A.
0.27
B.
0.60
C.
0.404
D.
0.45
4.
Each salesperson in a large department store chain is rated on their sales ability and their potential for advancement. The data for the 500 sampled salespeople are summarized in the following table.
What is the probability that a salesperson selected at random will have an excellent potential for advancement given they also have average sales ability?
A.
0.27
B.
0.30
C.
0.404
D.
0.45
5.
A study of interior designers' opinions with respect to the most desirable primary color for executive offices showed that:
What is the probability that a designer does not prefer red?
A.
1.00
B.
0.77
C.
0.73
D.
0.23
6.
A study of interior designers' opinions with respect to the most desirable primary color for executive offices showed that:
What is the probability that a designer does not prefer yellow?
A.
0.000
B.
0.765
C.
0.885
D.
1.000
7.
A study of interior designers' opinions with respect to the most desirable primary color for executive offices showed that:
What is the probability that a designer does not prefer blue?
A.
1.0000
B.
0.9075
C.
0.8850
D.
0.7725
1.
The probability of rolling a 3 or 2 on a single die is an example of conditional probability.
True False
Explanation / Answer
1.
The probability of rolling a 3 or 2 on a single die is an example of conditional probability.
False
It is an example of additon rule of probabaility of two mututally exaclusive events.
2.
The probability of rolling a 3 or 2 on a single die is an example of mutually exclusive events.
True
Becase when we roll a die either 3 can come or 2 not both.
5.
A joint probability measures the likelihood that two or more events will happen concurrently.
True
It is denoted by P(A and B) where A and B are two events.
6.
The joint probability of two independent events, A and B, is computed as P(A and B) = P(A) P(B).
True
7.
The joint probability of two events, A and B, that are not independent is computed as P(A and B) = P(A) P(B|A).
True
8.
A coin is tossed four times. The joint probability that all four tosses will result in a head is ¼ or 0.25.
False
When we tossed four coins, number of possible outcomes in sample space is 2*2*2*2 =16
Out of these 16 outcomes only one outcome has all the four heads. So probabaility of getting 4 heads is 1/16 = 0.0625.
1.
The probability of rolling a 3 or 2 on a single die is an example of conditional probability.
False
It is an example of additon rule of probabaility of two mututally exaclusive events.
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