A pair of dice is thrown 4 times. If getting a doublet is considered a success, find the probability distribution of the number of successes.
Using integration find the area of the region bounded by the parabola y2 = 4x and the circle 4x2 + 4y2 = 9.
The respective equations for the parabola and the circle are:
Equations (1) is a parabola with vertex ( 0, 0 ) which opens to the right and equation (2) is a circle with centre (0, 0 ) and radius .
From equations (1) and (2), we get:
Required area of the region bound by the two curves