A large lecture theater has 270 seats, 28 of which can accomodate left-handed students. Suppose it is known that 16% of people are left-handed. One class held in the theater has 206 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 be the proportion of left-handed students in the class. The mean and standard deviation of are, respectively, ___ and ___ .

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

Question

A large lecture theater has 270 seats, 28 of which can accomodate left-handed students.  Suppose it is known that 16% of people are left-handed.  One class held in the theater has 206 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  be the proportion of left-handed students in the class.  The mean and standard deviation of  are, respectively,  ___  and ___   .

(c)  What is the approximate probability that all left-handed students in the class get an appropriate desk? 
please help