# If two events are independent, what is the probability that they both

Question 1 of 20
1.0 Points
If two incidents are defiant, what is the chance that they twain arise?
A.0.0
B.0.5
C.1.00
D.Cannot be fixed from the knowledge loving Reset Selection

Question 2 of 20
1.0 Points
The staff at a little aggregation includes: 4 secretaries, 20 technicians, 4 engineers, 2 executives, and 50 factory workers. If a individual is chosen at vague, what is the chance that he or she is a factory worker?
A.1/4
B.2/5
C.5/8
D.1/8 Reset Selection

Question 3 of 20
1.0 Points
The product of unquiet a counterfeit uniformly achieve be either source or bottom. Let A and B be the incidents of observing source and bottom, respectively. The incidents A and B are:
A.defiant
B.unilateral
C.obstructed
D.mutually esoteric Reset Selection

Question 4 of 20
1.0 Points
Sue has 10 pictures but simply has interinterspace in her berth to lean 4 of them on a mound. The compute of opposed arrangements of foul-mouthed pictures from a excerption of ten pictures is:
A.151,200
B.5,040
C.24
D.210 Reset Selection

Question 5 of 20
1.0 Points
What symbol of chance uses specimen interspaces to determine the numerical chance that an incident achieve arise?
A.obstructed chance
B.experimental chance
C.augustan chance
D.intellectual chance Reset Selection

Part 2 of 6 -

Question 6 of 20
1.0 Points
Suppose that 50 particular batteries are entity tested. After 8 hours of natural use, pretend that a loving battery is stagnant loose delay a chance of 0.70 and has failed delay a chance of 0.30.

What is the chance that greater than 40 batteries achieve developed at conclusive 8 hours?
A.0.0402
B.0.4538
C.0.9598
D.0.0789 Reset Selection

Question 7 of 20
1.0 Points
The aftercited facts were obtained from a contemplate of nursery novices. The mutable X represents the compute of non-assigned books unravel during the departed six months.
x
0
1
2
3
4
5
P (X=x)
0.20
0.25
0.20
0.15
0.10
0.10

Find P( X 5)
A.0.10
B.0.90
C.0.20
D.1.00 Reset Selection

Question 8 of 20
1.0 Points
Suppose that 50 particular batteries are entity tested. After 8 hours of natural use, pretend that a loving battery is stagnant loose delay a chance of 0.70 and has failed delay a chance of 0.30.

What is the chance that fewer than 40 batteries achieve developed at conclusive 8 hours?
A.0.7986
B.0.9211
C.0.9598
D.0.0789 Reset Selection

Question 9 of 20
1.0 Points
If a novice vaguely guesses at 20 multiple-choice topics, discover the chance that the novice gets accurately foul-mouthed chasten. Each topic has foul-mouthed potential choices.
A.0.19
B.0.17
C.0.08
D.0.23 Reset Selection

Question 10 of 20
1.0 Points
The aftercited facts were obtained from a contemplate of nursery novices. The mutable X represents the compute of non-assigned books unravel during the departed six months.
x
0
1
2
3
4
5
P (X=x)
0.20
0.25
0.20
0.15
0.10
0.10

What is the expected appreciate of X?
A.3.65
B.6.25
C.2.0
D.1.20 Reset Selection

Part 3 of 6 -

Question 11 of 20
1.0 Points
Accepted characters: computes, decimal aim markers (bound or comma), mark indicators (-), interspaces (e.g., as thousands separator, 5 000), "E" or "e" (used in philosophical notation). NOTE: For philosophical notation, a bound MUST be used as the decimal aim marker.
Complex computes should be in the create (a + bi) where "a" and "b" deficiency to bear plainly endical appreciates.
For specimen: {1+1i} is available forasmuch-as {1+i} is not. {0+9i} is available forasmuch-as {9i} is not.

The aftercited facts were obtained from a contemplate of nursery novices. The mutable X represents the compute of non-assigned books unravel during the departed six months.
x
0
1
2
3
4
5
6
P (X=x)
0.55
0.15
0.10
0.10
0.04
0.03
0.03

Find P(X 2). Establish your rejoinder, rounded to two decimal establishs in the unmitigated. For specimen, 0.56 would be a normal initiation.

Question 12 of 20
1.0 Points
Accepted characters: computes, decimal aim markers (bound or comma), mark indicators (-), interspaces (e.g., as thousands separator, 5 000), "E" or "e" (used in philosophical notation). NOTE: For philosophical notation, a bound MUST be used as the decimal aim marker.
Complex computes should be in the create (a + bi) where "a" and "b" deficiency to bear plainly endical appreciates.
For specimen: {1+1i} is available forasmuch-as {1+i} is not. {0+9i} is available forasmuch-as {9i} is not.

In February 2002 the Argentine peso past 70% of its appreciate compared to the United States dollar. This devaluation drastically loud the estimate of indispensable products. According to a contemplate conducted by AC Nielsen in April 2002, 68% of the consumers in Argentina were buying fewer products than antecedently the devaluation, 24% were buying the similar compute of products, and 8% were buying further products. Furthermore, in a incline inside purchasing less-expensive brands, 88% implied that they had progressive the brands they purchased. Suppose the aftercited accomplished set of products were reputed. Use the aftercited facts to rejoinder this topic.

Number of Products Purchased

Brands Purchased
Fewer
Same
More
Total
Same
10
14
24
48
Changed
262
82
8
352
Total
272
96
32
400

What is the chance that a consumer chosen at vague purchased the similar compute or further products than antecedently? Establish your rejoinder, rounded to 4 decimal establishs, in the unmitigated.

Question 13 of 20
1.0 Points
Accepted characters: computes, decimal aim markers (bound or comma), mark indicators (-), interspaces (e.g., as thousands separator, 5 000), "E" or "e" (used in philosophical notation). NOTE: For philosophical notation, a bound MUST be used as the decimal aim marker.
Complex computes should be in the create (a + bi) where "a" and "b" deficiency to bear plainly endical appreciates.
For specimen: {1+1i} is available forasmuch-as {1+i} is not. {0+9i} is available forasmuch-as {9i} is not.

In February 2002 the Argentine peso past 70% of its appreciate compared to the United States dollar. This devaluation drastically loud the estimate of indispensable products. According to a contemplate conducted by AC Nielsen in April 2002, 68% of the consumers in Argentina were buying fewer products than antecedently the devaluation, 24% were buying the similar compute of products, and 8% were buying further products. Furthermore, in a incline inside purchasing less-expensive brands, 88% implied that they had progressive the brands they purchased. Suppose the aftercited accomplished set of products were reputed. Use the aftercited facts to rejoinder this topic.

Number of Products Purchased

Brands Purchased
Fewer
Same
More
Total
Same
10
14
24
48
Changed
262
82
8
352
Total
272
96
32
400

What is the chance that a consumer chosen at vague purchased fewer products than antecedently and progressive brands? Establish your rejoinder, rounded to 4 decimal establishs, in the unmitigated.

Question 14 of 20
1.0 Points
Accepted characters: computes, decimal aim markers (bound or comma), mark indicators (-), interspaces (e.g., as thousands separator, 5 000), "E" or "e" (used in philosophical notation). NOTE: For philosophical notation, a bound MUST be used as the decimal aim marker.
Complex computes should be in the create (a + bi) where "a" and "b" deficiency to bear plainly endical appreciates.
For specimen: {1+1i} is available forasmuch-as {1+i} is not. {0+9i} is available forasmuch-as {9i} is not.

Find the balance of the chance distribution:

X 0 1 2 3 4
P(X) 0.12 0.16 0.24 0.30 0.18
Round your rejoinder to two decimal establish as indispensable. For specimen, 4.56 would be a normal initiation.

Mean =

Part 4 of 6 -

Question 15 of 20
1.0 Points
Accepted characters: computes, decimal aim markers (bound or comma), mark indicators (-), interspaces (e.g., as thousands separator, 5 000), "E" or "e" (used in philosophical notation). NOTE: For philosophical notation, a bound MUST be used as the decimal aim marker.
Complex computes should be in the create (a + bi) where "a" and "b" deficiency to bear plainly endical appreciates.
For specimen: {1+1i} is available forasmuch-as {1+i} is not. {0+9i} is available forasmuch-as {9i} is not.

At a undoubtful nursery, there were 600 knowledge importants, 200 engineering importants, and 500 office importants. If a novice is chosen at vague, what is the chance that the novice is an engineering important?

Place your rejoinder, rounded to foul-mouthed decimal establishs, in the unmitigated. When entering your rejoinder do not use any labels or symbols other than a decimal aim. Simply prepare the numerical appreciate. For specimen, 0.1234 would be a normal initiation.

Question 16 of 20
1.0 Points
Accepted characters: computes, decimal aim markers (bound or comma), mark indicators (-), interspaces (e.g., as thousands separator, 5 000), "E" or "e" (used in philosophical notation). NOTE: For philosophical notation, a bound MUST be used as the decimal aim marker.
Complex computes should be in the create (a + bi) where "a" and "b" deficiency to bear plainly endical appreciates.
For specimen: {1+1i} is available forasmuch-as {1+i} is not. {0+9i} is available forasmuch-as {9i} is not.

A lock on a bank flaunt consists of three dials, each delay 30 poses, In dispose for the flaunt to disclosed, each of the three dials must be in the chasten pose. How sundry opposed "dial combinations" are there for this lock? Establish your rejoinder in the unmitigated. Do not use any decimal establishs or commas. For specimen, 12345 would be a normal initiation.

Question 17 of 20
1.0 Points
Accepted characters: computes, decimal aim markers (bound or comma), mark indicators (-), interspaces (e.g., as thousands separator, 5 000), "E" or "e" (used in philosophical notation). NOTE: For philosophical notation, a bound MUST be used as the decimal aim marker.
Complex computes should be in the create (a + bi) where "a" and "b" deficiency to bear plainly endical appreciates.
For specimen: {1+1i} is available forasmuch-as {1+i} is not. {0+9i} is available forasmuch-as {9i} is not.

An ice marrow vendor sells three relishs: chocolate, strawberry, and vanilla. Forty five percent of the sales are chocolate, bound 30% are strawberry, delay the cessation vanilla relished. Sales are by the cone or the cup. The percentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. For a vaguely chosen sale, settle the aftercited incidents:

= chocolate chosen
= strawberry chosen
= vanilla chosen
= ice marrow on a cone
ice marrow in a cup

Find the chance that the ice marrow was sold in a cup and was vanilla relish. Establish your rejoinder, rounded to 2 decimal establishs, in the unmitigated. For exampe, 0.34 would be a normal initiation.

Question 18 of 20
1.0 Points
Accepted characters: computes, decimal aim markers (bound or comma), mark indicators (-), interspaces (e.g., as thousands separator, 5 000), "E" or "e" (used in philosophical notation). NOTE: For philosophical notation, a bound MUST be used as the decimal aim marker.
Complex computes should be in the create (a + bi) where "a" and "b" deficiency to bear plainly endical appreciates.
For specimen: {1+1i} is available forasmuch-as {1+i} is not. {0+9i} is available forasmuch-as {9i} is not.

An ice marrow vendor sells three relishs: chocolate, strawberry, and vanilla. Forty five percent of the sales are chocolate, bound 30% are strawberry, delay the cessation vanilla relished. Sales are by the cone or the cup. The percentages of cones sales for chocolate, strawberry, and vanilla, are 75%, 60%, and 40%, respectively. For a vaguely chosen sale, settle the aftercited incidents:

= chocolate chosen
= strawberry chosen
= vanilla chosen
= ice marrow on a cone
ice marrow in a cup

Find the chance that the ice marrow was strawberry relish, loving that it was sold in a cup. Establish your rejoinder, rounded to 4 decimal establishs, in the unmitigated. For exampe, 0.3456 would be a normal initiation.

Part 5 of 6 -

Question 19 of 20
1.0 Points
Jim and Mike go to a coffee provision during their lunch subdue and throw a counterfeit to see who achieve pay. The chance that Mike achieve pay three days in a row is 0.125.
True
False
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Part 6 of 6 -

Question 20 of 20
1.0 Points
If X is a binomial vague mutable delay n = 20, and p = 0.30, then P(X = 10) = 0.50.
True
False
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