1- In a certain country, public transportation buses are to be furnished so that the distance D between seats is wide enough to accommodate 98% of all people (with enough legroom). After extensive research, it is found that the leg-part that sticks out of a chair, while a random person is seated, is a random variable that is normally distributed with mean = 23 cm and standard deviation = 5 cm. Find the value of D.

2- Let X be the value of a point chosen uniformly at random from the set (0, 1) (2, 5). (a) Carefully write down the cumulative distribution of X. (b) Find the expected value of X.