Identify which of the following is not true about the population variance of a set of data.

• A.Its positive square root gives the standard deviation
• B.It can be calculated as
• C.It is represented by the symbol
  
• D.It can be calculated as
  
  

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Identify which of the following statements is not true about the probability density function of a continuous random variable.

• A.Differentiating it gives the cumulative distribution function.
• B.Integrating it across its domain must produce an answer of 1.
• C.It must be non-negative.
• D.It could be greater than 1.

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Calculate the minimum value of f.

• A.-0.50
• B.0.00
• C.-0.75
• D.-0.25

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Consider the following definite integral:

Determine for which combination of a and b the integral converges.
A)

B)

C)

D)

• A.Option A
• B.Option B
• C.Option C
• D.Option D

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