  This article answers a question posed by Draisma and Horobet, who asked for a
closed formula for the expected number of real eigenvalues of a random real
symmetric tensor drawn from the Gaussian distribution relative to the Bombieri
norm. This expected value is equal to the expected number of real critical
points on the unit sphere of a Kostlan polynomial. We also derive an exact
formula for the expected absolute value of the determinant of a matrix from the
Gaussian Orthogonal Ensemble.
