The foreman of a bottling plant has observed that the amount of soda in each "32-ounce" bottle is actually a normally distributed random variable, with a mean of 32.2 ounces and a standard deviation of .3 ounce.

If a customer buys 1 bottle, what is the probability that the bottle will contain less than 32 ounces?

Answer = ------Z = (32 -32.2)/0.3 = 0.67 P(X 32) = 0.2514

Could you please in steps by steps explanation process ? How this answer came as P(X 32) = 0.2514