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Suppose that random variable X is uniformly distributed between 6 and 28. Draw a graph of density function, and then use it to help find the following probabilities.

A. P (X> 28) =

B. P (X< 13.1) =

C. P (10 < X < 23) =

D. P (16 < X < 31) =

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Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

Q5. Let (Ω, F , P) be a probability space. Let λ > 0 be some constant.

  1. (a)  Give the definition of a random variable X on R ∪ {−∞, +∞}.

  2. (b)  Define the distribution function FX for the RV X.

[6 marks]

[1 marks]

[1 marks] (c) Suppose that Y is a RV on R ∪ {−∞, +∞} with distribution function given by

􏰄3 −1e−λy (y≥0)

[6 marks]

page1image62001664 page1image62003968

FY (y) = 4 2 1

(y < 0).
For any a < b, determine P(Y > a), and P(Y ∈ (a, b]). [3 marks]

  1. (d)  By noting {Y < b} = ∪n∈N{Y ≤ b − 1 } and using Continuity of Probability, n

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  2. (e)  Is Y either a discrete RV, or a continuous RV, or a mixture of both? Explain

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Multiple Choice

1. You have a large dataset that will print on several pages. You want to ensure that related records print on the same page with column and row labels visible and that confidential information is not printed. You should apply all of the following page setup options except which one to accomplish this task?

(a) Set a print area.

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(a) Freeze Panes command

(b) Hide Rows command

(c) New Window command and cascade the windows

(d) Split Rows command

3. Which statement is not a recommended guideline for designing and creating an Excel table?

(a) Avoid naming two fields with the same name.

(b) Ensure that no blank columns separate data columns within the table.

(c)-Leave one blank row between records in the table.

(d) Include field names on the first row of the table.

4. Which of the following characters are wildcards in Excel? (Check all that apply.)

(a) *

(b) #

(e) ?

(d) $

5. What should you do to ensure that records in a table are unique?

(a) Do nothing; a logical reason probably exist to keep identical records.

(b) Use the remove duplicates command.

(c) Look at each row yourself and manually delete duplicate records.

(d) Find the duplicate records and change some of the data to be different

6. Which Conditional Formatting rule is best suited to apply formatting to the top five values in a range of values?

(a) Above Average

(b) Greater Than

(c). Top 10 Items

(d) Between

7. Which date filter option enables you to restrict the view to only dates that occur in March of 2018?

(a) Equals

(b) Before

(c) After

(d) Between

8. Which of the following is an unqualified structured reference?

(a) =[Purchase_Price]-[Down Payment]

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9. Which of the following is not an aggregate function that can be applied in a total row?

(a) MAX

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(c) COUNT

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10. If you would like to set a conditional formatting rule based on the function=AND(G6"Finance". H7<7000), which formatting rule type is needed?

(a) Format all cells based on their values

(b) Format only cells that contain

(c) use formula to determine which cells to format

(d) Format only values that are above or below average

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