ACME manufacturing company has developed a fuel-efficient machine that combines pressure washing with steam cleaning. It is advertised as delivering 5 gallons of cleaner per minute. HOWEVER, a machine delivers an amount at random anywhere between 4.8 and 5.3 gallons per minute.

Assume that Y, the amount of cleaner dispensed per minute, is a uniform random variable with probability density function [p. d.f.], f(y), given below.

f(y) = 5 for 4.95 < y < 5.15f(y) = 0 otherwiseFind the probability that Y, the amount of cleaner dispensed per minute, is greater than 5 gallons per minute.