3. The heights of female students attending a sixth form collegehave a mean of 168 cm and standard deviation of 4.5 cm. The heightscan be modeled by a normal distribution: a. Find the probabilitythat the height of a randomly selected female student attendingthis college is less than 172.5 cm? b. Find the probability thatthe mean height of a random sample of 11 female students from thiscollege exceeds 172 cm?
