A large lecture theater has 250 seats, 22 of which can accomodate left-handed students. Suppose it is known that 13% of people are left-handed. One class held in the theater has 207 students.
(a) Let X be the number of left-handed students in the class. The mean and standard deviation of X are, respectively, _ and _ ?
(b) Let p (hat) be the proportion of left-handed students in the class. The mean and standard deviation of p (hat) are, respectively, _ and _ .
(c) What is the approximate probability that all left-handed students in the class get an appropriate desk?