Let y be a random variable with p. d.f. ce-4y for y ≥ 0.

(a) determine c.

(b) what is the mean, variance, and squared coefficient of variation of y where the squared

coefficient of variation of y is defined to var(y )/(e[y ])2?

(c) compute pr{y < 5}.

(d) computepr{y > 5|y > 1}.

(e) what is the 0.7 quantile (or 70th percentile) where the 0.7 quantile is the point q such that pr{y > q} = 0.7?

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.