A random variable X has expected value E(X) = 5 and E(X²) = 29. The variance is: MCQ with Answer and Explanation

A random variable X has expected value E(X) = 5 and E(X²) = 29. The variance is:
A. 5
B. 2
C. 4
D. 24
Answer: Option C
Solution (By JKExamLibrary)
Var(X) = E(X²) - [E(X)]² = 29 - 25 = 4.

This question belongs to: Accountancy and Statistics Statistics

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Question #1 Report Error
If the Cost of Living Index rises by 10%, a wage earner's real income remains unchanged only if nominal wages increase by:
A. 20%
B. 5%
C. 10%
D. 15%

Correct Answer: Option C


Explanation:
Real income = Nominal income / Price index. To keep real income constant when prices rise 10% (index ×1.10), nominal income must also rise 10% (×1.10), so the ratio remains unchanged.

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
In a set of 10 numbers, the mean of the first 6 is 15 and the mean of the remaining 4 is 20. The combined mean is:
A. 17
B. 17.5
C. 16.5
D. 18

Correct Answer: Option A


Explanation:
Sum = 6×15 + 4×20 = 90+80=170. Combined mean = 170/10 = 17.

This question belongs to: Accountancy and Statistics Statistics
Question #3 Report Error
In a table, the 'caption' refers to:
A. The row headings
B. The title of the table
C. The footnotes
D. The column headings

Correct Answer: Option D


Explanation:
Caption (or box-head) contains the headings for columns.

This question belongs to: Accountancy and Statistics Statistics