The height of a certain population of female teenagers is approximately normally distributed with a mean of 155 cm and a standard deviation of 7 cm. Find the probability that a randomly selected teenager has height
(a) between 145 and 165 cm,
(b) more than 150 cm, and
Â (c) less than 169 cm.
Â A car manufacturer claims that its new hybrid car can travel at speeds more than 60 mpg. The actual mpg is approximately normally distributed with a mean of 52 miles and a standard deviation of three miles. What is the probability that the manufacturerâ€™s claim is valid? Comment on this claim.