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A random sample of 12 steel ingots was taken from a production line. The masses. in kilograms, of these ingots are given below.

24.8 30.8 28.1 24.8 27.4 22.1

24.7 27.3 27.5 27.8 23.9 23.2

Assuming that this sample came from an underlying normal population, investigate the claim that its mean exceeds 25.0kg

LAC operon undergoes both negative and positive control of transcription initiation. Look over the structure of the Lac operon and its regulatory gene (LAC I).

a. Describe the negative control of this inducible operon. How does it prevent transcription initiation?

b. Describe the positive control of LAC operon. Include in your discussion, the CAP protein, adenlyl cyclase, and cAMP protein. How does it increase transcription to a higher rate?

c. In presence of glucose, inducer exclusion (keeping lactose out of the cell) is an important means of controlling transcription of the LAC operon. Phosphotranferase systems (PTS) of transporting sugars are essential to keeping the lactose transporter inactive until glucose is no longer available in the medium. Describe how the PTS is involved in both activating the lactose transporter and adenylyl cyclase in the absence of glucose?

2. Show that the first derivative of the the moment generating function of the geometric evaluated at 0 gives you the mean.

3. Let X be distributed as a geometric with a probability of success of 0.10.

a. Give a truncated histogram (obviously you cannot put the whole sample space on the x-axis of the histogram) of this random variable.

b. Give F(x)

c. Find the probability it takes 10 or more trials to get the first success.

d. Here is a challenge. What is the probability that it takes an even number of trials to get the first success, i.e., P(X=2,4,6,8,...)

the aldrich chemical company once manufactured a technical(low purity) grade of pinene that contained 85%(+)- alpha pinene and had a specific rotation of +43. is the 15% (by mass) impurity in this product more likely to be (-)-alpha-pinene, (-)-beta-pinene, or some optically inactive substance? justify your answer with calculations.

Assignment – 1

1- The DISTINCT(X) operator is used to return only distinct (unique) values for datatype (or column) X in the entire dataset .

As an example, for the following table A:

DISTINCT(A.ID) = (1, 2, 3, 4, 5)

DISTINCT(A.ZIPCODE) = (12345, 78910)

DISTINCT(A.AGE) = (30, 40, 10, 20)

Implement the DISTINCT(X) operator using Map-Reduce. Provide the algo-

rithm pseudocode. You should use only one Map-Reduce stage, i.e. the algorithm should

make only one pass over the data.

2-The SHUFFLE operator takes a dataset as input and randomly re-orders it.

Hint: Assume that we have a function rand(m) that is capable of outputting a random integer between [1, m].

Implement the SHUFFLE operator using Map-Reduce. Provide the algorithm pseudocode.

3-What is the communication cost (in terms of total data flow on the network between mappers and reducers) for following query using Map-Reduce:

Get DISTINCT(A.ID from A WHERE A.AGE > 30 )

The dataset A has 1000M rows, and 400M of these rows have A.AGE <= 30. DISTINCT(A.ID) has 1M elements. A tuple emitted from any mapper is 1 KB in size.

4-Consider the checkout counter at a large supermarket chain. For each item sold, it generates a record of the form [ProductId, Supplier, Price]. Here, ProductId is the unique identifier of a product, Supplier is the supplier name of the product and Price is the sales price for the item. Assume that the supermarket chain has accumulated many terabytes of data over a period of several months.

The CEO wants a list of suppliers, listing for each supplier the average sales price of items provided by the supplier. How would you organize the computation using the Map-Reduce computation model?

For the following questions give short explanations of your answers.

5-True or False: Each mapper/reducer must generate the same number of output key/value pairs as it receives on the input.

6-True or False: The output type of keys/values of mappers/reducers must be of the same type as their input.

7-True or False: The input to reducers is grouped by key.

8-True or False: It is possible to start reducers while some mappers are still running.

Write two paragraphs that briefly define effective writing in your own words and identify your writing strengths and weaknesses

Consider the reaction:

2SO_2(g)+O_2(g)--->2SO_3(s)

(a) If 285.5 mL of SO₂ is allowed to react with 158.9mL of O₂ (both measured at STP), what is the limiting reactant and the theoretical yield of SO₃?

(b) If 2.805g of SO₃ is collected (measured at STP), what is the percent yield for the reaction?

April   107   90   29   31   66   0.344
May   106   94   23   35   72   0.372
June   77   62   12   18   29   0.29
July   115   103   20   34   59   0.33
August   124   102   25   36   63   0.353
September   85   69   20   26   44   0.377

(PYTHON)

Using the attached stats.txt, generate a report of a player’s batting average using hits / at bats by month and slugging percent by dividing total bases by at bats. Print out each month, number hits, number of at bats , BA (batting average) and slugging percent (). The input file is organized by month, plate appearances, at bats, runs, hits and total bases.

Explain with examples (at least 3) of arbitrage in exchange rates.

Write a hotel blog about a hotel that you visited recently. Remember that you need to write the text in perfect tense. Please write minimum 30, maximum 40 sentences. Also specify which hotel category suits your hotel.

he following items were selected from among the transactions completed by O’Donnel Co. during the current year: