The diameters of an automobile tire is normally distributed

The diameters of an automobile tire is normally distributed with a mean of 22 inches and a standard deviation of 0.2 inches. What is the probability that a randomly selected tire has a diameter below 22.5 inches?

Solution

The diameters of an automobile tire is normally distributed with a mean of 22 inches and a standard deviation of 0.2 inches. What is the probability that a randomly selected tire has a diameter below 22.5 inches?

Z value for 22.5, z=(22.5-22)/0.2 =2.5

P( x <22.5) = P( z <2.5) = 0.9938

The required P=0.9938