In a study to determine the degree of relationship between two non-normally distributed

variables, an analyst assigns ranks to 5 pairs of observations. If the sum of the squared differences

between the corresponding ranks is calculated to be 4, what is the exact value of the Spearman rank correlation coefficient?

The number of customers arriving per hour at a certain automobile service facility is assumed to follow a Poisson distribution with an average of 3 arrivals per hour. What is the probability that exactly 0 customers arrive in a given 1-hour period?

Let A be the 3 x 3 matrix given by

A = [ 8 -6 2

         -6 7 -4

         2   -4   3] 

What is product of eigenvalues?

When conducting a one-sample Student t-test for a population mean, particularly with a small sample size, which of the following is a strict theoretical assumption required for the test statistic to follow an exact t-distribution?

[ 1    2+i            -1+i

  2-i      1              2i 

-1-i         -2i          0]

Is the matrix skew-Hermitian ? Justify

What does a “greedy algorithm” do?

An algorithm satisfies:

Which interpretation BEST explains its complexity?