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.

Kevin has a spinner that has 10 equal sections and 2 sections of each color—red, blue, green, yellow, and purple. kevin spins the spinner 180 times. kevin determines about how many times the spinner will land on red or green, and his work is shown below. -kevin has the formula reversed; it should be the total number of sections over the number of red or green sections. -kevin should have used a 4 in the numerator because there are 2 red sections and 2 green sections. -kevin should multiply by the number of sections in the spinner rather than the total number of spins. -kevin calculated the prediction correctly and did not make any mistakes.