Which of the following set of quantum numbers (ordered n, ℓ, mℓ, ms) are possible for an electron in an atom? Check all that apply. Check all that apply.

5, 3, 0, 1/2

-3, 2, 2, -1/2

4, 2, -1, -1/2

3, 1, -2, -1/2

5, 3, 4, 1/2

2, 1, 0, 1

2, 4, 1, -1/2

5, 3, -3, 1/2

. Use StatsDisk

Find the Mean, Median, Variance and Standard Deviation of the data below?

Females

1-6

2-1

3-1

4-4

5-6

6-8

7-2

8-2

9-4

10-5

11-7

12-10

13-6

14-3

15-2

16-1

17-Something

...........

18-1

19-2

20-3

21-5

22-7

23-8

24-2

25-3

26-2

27-2

28-4

29-3

30-4

31-6

32-1

33-1

34-6

35-4

36-4

37-3

38-1

39-1

40-5

41-8

42-1

43-7

44-9

45-2

46-9

47-7

48-8

49-4

............

50-2

51-1

52-Sometimes

53-1

54-2

55-3

56-3

57-3

58-2

59-2

60-4

61-5

62-5

63-2

64-1

65-7

66-2

67-1

68-8

69-8

70-8

71-3

72-4

73-5

74-9

75-9

76-10

77-1

78-2

79-3

................

80-5

81-5

82-3

83-1

84-2

85-6

86-7

87-7

88-1

89-3

90-2

91-4

92-4

93-6

94-6

95-7

96-1

97-3

98-8

99-7

100-5

1)

Consider these molecules:

1-pentene

2-pentene

2-methyl-2-butene

cyclopentane

1-methyl-cyclobutene

2-methyl-1-butene

Which is not a stereoisomer of the others?

2-pentene

cyclopentane

1-methylcyclobutene

2-methyl-2-butene

These are all stereoisomers of one another.

2)

Classify 3-methyl-2-butanol as a primary, secondary, or tertiary alcohol.

Primary

Secondary

Tertiary

More information is needed to solve this.

It can be more than one of these.

3)

What must be present for an addition polymerization reaction to occur?

Two hydroxyl groups (one on each molecule).

An acid.

An hydroxyl group.

A carbonayl carbon.

A double bond.

Multiple choice

Consider the following ORACLE relations :
One (x, y) = {<2, 5>, <1, 6>, <1, 6>, <1, 6>, <4, 8>, <4, 8>}
Two (x, y) = {<2, 55>, <1, 1>, <4, 4>, <1, 6>, <4, 8>, <4, 8>, <9, 9>, <1, 6>}

Consider the following two SQL queries SQ1 and SQ2 :

SQ1 : SELECT * FROM One)            
          EXCEPT            
         (SELECT * FROM Two);
  
SQ2 : SELECT * FROM One)            
          EXCEPT ALL           
         (SELECT * FROM Two);

Gaussian Mixture Model:

the initial means and variances of two clusters in a GMM are as follows: ?(1)=−3, ?(2)=2, ?21=?22=4. Let ?1=?2=0.5.

Let ?(1)=0.2, ?(2)=−0.9, ?(3)=−1, ?(4)=1.2, ?(5)=1.8 be five points that need to cluster.

Need to find

1) p(1|1)

2) p(1|2)

3) p(1|3)

4) p(1|4)

5) p(1|5)

1. Secondary antibody is dilutes by using
   1. 5 & nonfat dry milk               C. 5 % BSA
   2. 5 % SDS                                D. 5 % PBS

2. For protein detection in the completed Western blot, which instrument is used?
   1. Flow cytometry                     C. Bio imaging system
   2. UV illuminator                       D. Gel documentation system

3. Correct assembly of the immunoblot sandwich from CATHODE to ANODE is

1. Gel             2. Filter paper           3. Sponge     

4. PVDF or Nitrocellulose membrane

A. 2, 3, 4, 1, 3, 4                               C. 3, 2, 1, 4, 2, 3

                        B. 1, 4, 3, 2, 4, 1                               D. 4, 3, 2, 1, 2, 3

4. Western blotting combines several techniques to resolve and detect a specific protein. Below are several steps in the process of running such an experiment, but they are out of order. Put the steps into the correct order.
5. 1. Electrotransfer protein onto a porous membrane
   2. Wash step to remove unbound protein
   3. Incubate with primary antibody specific for antigen or interest
   4. Perform chemiluminescent detection with appropriate reagents
   5. Electrophorese protein sample by SDS gel
   6. Incubate with secondary antibody

1. 5, 1, 3, 2, 6, 2, 4
2. 4, 2, 6, 2, 3, 1, 5
3. 5, 1, 2, 3, 6, 2, 4
4. 3, 2, 6, 2, 5, 1, 4
5. 1, 5, 3, 2, 6, 2, 4
6. None of these are correct

2 10 6 10 10 4 5 4 5 8

a) Calculate the range.

b) Calculate the variance.

(Round to two decimal places as needed.)

c) Calculate the standard deviation.

(Round to two decimal places as needed.)

13 28 30 17 24 9 44 21

a​)Determine the 20th percentile.

b​)Determine the 30th percentile.

c​)Determine the 70th percentile.

PROBLEM 2.  20 pts.  An urn contains 4 Red balls and 6 Green balls.

1. If 4 balls are taken one at a time with replacement. Find the probability that one is R. Find also the expected number of R and the standard deviation of R
2. If 4 two balls are taken one at a time without replacement. Find the probability that only one is Red

5.) For the data set

(a) Find the 80th percentile.

(a) Find the 42nd percentile.

(a) Find the 17th percentile.

(a) Find the 65th percentile.

6.) Internet providers: In a survey of 672 homeowners with high-speed Internet, the average monthly cost of a high-speed Internet plan was $52.8 with standard deviation $12.42 Assume the plan costs to be approximately bell-shaped. Estimate the number of plans that cost between $40.38 and $65.22