Identify the necessary and sufficient condition under which the quadratic equation ax2+ 2a2x + a3= 0 hasone repeated real root.

Identify which of the following statements is not always true about a probability experiment.

Identify which of the following statements are true.
I.Skewness measures how peaked a set of data is
II.Skewness is a measure of asymmetry of the distribution of the data about its mean.
III. For a symmetrically distributed data, the mean equals the median but not necessarily the mode IV. The value of a measure of skewness can be positive, zero or negative.

Consider the following definite integral:

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

B)

C)

D)