A large lecture theater has 230 seats, 21 of which can accomodate left-handed students. Suppose it is known that 12% of people are left-handed. One...

A large lecture theater has 230 seats, 21 of which can accomodate left-handed students.  Suppose it is known that 12% of people are left-handed.  One class held in the theater has 209 students.

(a) Let X be the number of left-handed students in the class.  What are the mean and standard deviation of X?

(b)  Let  be the proportion of left-handed students in the class.  What are the mean and standard deviation of  ?

(c)  What is the approximate probability that all left-handed students in the class get an appropriate desk