Suppose that the continuous random variable x has cdf given by fx(t) = {0 if t< sqrt(2) t^2-2 if sqrt(2)< =t= sqrt(3) 3. (a) find the smallest interval ra, bs such that of ppa ď x ď bq “ 1. (b) find ppx “ 1.5q, ppx ă 1.5q and ppx ď 1.5q. (c) find pp1 ď x ď 1.5q. (d) find the probability density function of x.

When constructing a perpendicular line through a point off a line, how can you verify that the lines constructed are perpendicular? check the angles used in the construction with a straightedge to ensure consistency. check the distance along the lines at several places with a compass to ensure they are the same length. check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. check the distance between the lines at several places with a compass to ensure they are equidistant. question 2(multiple choice worth 1 points) (01.03 lc) which of the following steps is included in the construction of a perpendicular line through a point on a line? connect arcs that are above and below the given line with a straightedge. connect arcs that are above the original line with a straightedge. create arcs on either side of a point that is off the given line. create a copied angle by using the first two lines as the original angle.