Q5 (a) Given Z ~ N(0, 1), find the following probabilities using the standard normal distribution table provided: P(Z 45) = 0.123 for X~N(39.2, 6?) Give your answer in 1 decimal place. (4% ) (ii) Find the probability that strength of concrete mix is less than 30 N/mm- (3%) (iii) Find the probability that strength of concrete mix lies between 35 N/mm- and 55 N/mm-. (4%)