STAT 400 Final: STAT400 CERRAI-S FALL2009 0101 FINAL EXAM

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turquoisegnu128

15 Feb 2019

School

University of Maryland

Department

Statistics and Probability

Course

STAT 400

Professor

All

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Document Summary

[30 points] a box contains 5 types of balls and each type of balls can be either red or black. A2: if a black ball is extracted, what is the probability that it is of type. [30 points] let x and y be two random variables with joint probability density function f (x, y) =( (10 x y), x [0, 5], y [0, 5], elsewhere. 1: compute the marginal probability densities of x and y . [30 points] the number of defects in a crystal glass has. Limit theorem, give an estimate of the probability that there are more that 1250 defects among 500 glasses examined. [40 points] we recall that the pmf of the geometric distribution with parameter p (0, 1) is given by p(x) =(p(1 p)x 1, x = 1, 2, 3, . otherwise. We also recall that the expected value of a geometric random variable with parameter p is 1/p.

Related Questions

2 (a) Suppose you start with one Red and one Black ball in a bag. You draw a ball at random from the bag repeatedly and look at its colour each time. After each successive draw, you double the number of Red balls and triple the number of Black balls in the bag before the next draw (eg. on the third draw there will be 4 Red and 9 Black balls in the bag). Explain why you will draw only finitely many Red balls in total with probability 1. [3 marks]

(b) In a modified game, suppose instead that for before the nth draw, you first make an n by n square arrangement of balls where the perimeter balls are all Red and any interior balls are Black ball. Thus, on the second draw there are 4 Red and 0 Black in the bag (22 in total), on the third draw there are 8 Red and 1 Black in the bag (32 in total), on the fourth there are 12 Red and 4 Black in the bag (42 in total), and so on. How many Red and Black balls will there be on the nth draw? Will you still draw only finitely many red balls? Explain your answer. [4 marks]

amaranthwalrus338

A salesperson makes four calls per year. A sample of 100 days given the following frequencies of sales volumes.

Number of Sales	Observed Frequency (days)
0	30
1	32
2	25
3	10
4	3
TOTAL	100

Records show sales are made to 30% of all sales calls. Assuming independent sales calls, the number of sales per day should follow a binomial distribution. The Binomial distribution is represented by:

For this exercise, assume that the population has a binomial probability distribution with n=4, p=0.30 and x= 0, 1, 2, 3 and 4.

(a) Compute the expected frequencies for x=0, 1, 2, 3 and 4 by using the binomial probability function. Combine categories if necessary to satisfy the requirement that the expected frequency is five or more for all categories.

(b) Use the goodness of fit test to determine whether the assumption of a binomial probability distribution should be rejected. Because no parameters of the Binomial probability distribution were estimated from the sample data, the degrees of freedom are k-1 .

whitebear607

EX16_XL_CH05_GRADER_CAP_AS - Travel Expenses 1.3

Project Description:

You are the manager of an information technology (IT) team. Your employees go to training workshops and national conferences to keep up-to-date in the field. You created a list of expenses by category for each employee for the last six months. Now you want to subtotal the data to review total costs by employee and then create a PivotTable to look at the data from different perspectives.

Instructions:

For the purpose of grading the project you are required to perform the following tasks:

Step	Instructions	Points Possible
1	Start Excel. Open the downloaded Excel file named exploring_e05_grader_a1_Expenses.xlsx. Save the workbook as exploring_e05_grader_a1_Expenses_LastFirst, replacing LastFirst with your own name.	0.000
2	On the Subtotals worksheet, sort the data by Employee and further sort by Category, both in alphabetical order.	4.000
3	Use the Subtotals feature to insert subtotal rows by Employee to calculate the total expense by employee.	5.000
4	Collapse the Donaldson and Hart sections to show only their totals. Leave the other employees’ individual rows displayed.	5.000
5	Use the Expenses worksheet to create a blank PivotTable on a new worksheet named Summary. Name the PivotTable Categories.	8.000
6	Use the Category and Expense fields, enabling Excel to determine where the fields go in the PivotTable.	5.000
7	Modify the Values field to determine the average expense by category. Change the custom name to Average Expense.	4.000
8	Format the Values field with Accounting number type.	3.000
9	Type Category in cell A3 and change the Grand Totals layout option to On for Rows Only.	5.000
10	Apply Pivot Style Dark 2 and display banded rows. Note, depending upon the version of Office being used, the style name may be Light Blue, Pivot Style Dark 2.	5.000
11	Insert a slicer for the Employee field, change the slicer height to 2 inches and apply the Slicer Style Dark 5. Move the slicer below the PivotTable. Note, depending upon the version of Office being used, the style name may be Light Blue, Slicer Style Dark 5.	5.000
12	Use the Expenses worksheet to create another blank PivotTable on a sheet named Totals. Add the Employee to the Rows and add the Expense field to the Values area. Sort the PivotTable from largest to smallest expense.	10.000
13	Change the name for the Expenses column to Totals and format the field with Accounting number format.	4.000
14	Insert a calculated field to subtract 2659.72 from the Expense field. Format the field with the custom name Above or Below Average and apply Accounting number format to the field.	10.000
15	Set 12.25 width for column B and column C, change the row height of row 3 to 30, and apply word wrap to cell C3.	4.000
16	Create a clustered column PivotChart from the PivotTable. Move the PivotChart to a new sheet named Chart. Hide all field buttons in the PivotChart, if necessary. Note, Mac users, select the range A3:C8 in the PivotTable. On the Insert tab, click Recommended Charts, and then click Clustered Column to make the chart.	10.000
17	Add a chart title above the chart and type Expenses by Employee. Change the chart style to Style 14.	6.000
18	Apply 11 pt font size to the value axis and display vertical axis as Accounting with zero decimal places.	4.000
19	Create a footer on all worksheets with your name in the left section, the sheet name code in the center section, and the file name code in the right section.	3.000
20	Ensure that the worksheets are correctly named and placed in the following order in the workbook: Subtotals, Summary, Chart, Totals, Expenses. Save the workbook. Close the workbook and then exit Excel. Submit the workbook as directed.	0.000
	Total Points	100.000

https://www.dropbox.com/s/m7falnl85tfazl9/Torres%20DaSilva_exploring_e05_grader_a1_Expenses.xlsx?dl=0

bronzeelk977

STAT 400 Final: STAT400 CERRAI-S FALL2009 0101 FINAL EXAM

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