Let N be a geometric random variable with parameter p. Given N, generate N many i. i.d. random numbers U1, U2, . . . , UN uniformly from [0, 1]. Let M = max1≤i≤N Ui. Find the cdf of M, i. e., find P(M ≤ x).

Acylinder has volume 45π and radius 3. what is it’s height?

Find the measure of the interior angles of the following regular polygons: a triangle, a quadrilateral, a pentagon, an octagon, a decagon, a 30-gon, a 50-gon, and a 100-gon.

Two language majors, anna and megan, took exams in two languages. anna scored 85 on both exams. megan scored 74 on the first exam and 85 on the second exam. overall, student scores on the first exam had a mean of 82 and a standard deviation of 4, and the second exam scores had a mean of 71 and a standard deviation of 13. a) to qualify for language honors, a major must maintain at least an 85 average across all language courses taken. so far, which of anna and megan qualify? b) which student's overall performance was better?