a) because it is equal to the area of the shaded region between X=4 and X=6, and the probability that X falls within some interval is given by the area under the PDF.
b) because the shaded region is a rectangle of height 1/5 (by virtue of X following a uniform distribution over the interval [2, 7], which has length 5).
Answer:
m(arc FE) = 166°
Step-by-step explanation:
By theorem of intersecting chords and tangent of a circle,
Measure of the angle formed by a chord and tangent intersecting on the circle measure the half of the intercepted arc.
m(∠GFE) =
83° =
m(arc FE) = 166°