The horizontal distance (range) a projectile can travel can be calculated as R=\frac{v^{2} \sin 2 \theta}{g} A projectile is launched with a mean speed v = 10 m/s and standard

deviation s, = 0.5 m/s, at an angle 0 = 40° with sę = 5°. If the acceleration due to gravity g = 9.8 m/s² is constant, what is the probability that the projectile's range exceeds 12m?