CCA has stated in 2017 that 42 % of its students are first generation college students.
Suppose you sample 5 CCA students and ask if they are first generation college students or not, counting the number of first generation students.

a. Create a binomial probability distribution (table) for this situation.

(Report answers accurate to 4 decimal places.)

k P(X = k)
0  
1  
2  
3  
4  
5  
b. Give the mean of the binomial distribution. $  

c. Give the standard deviation of this binomial distribution.  

d. Compute the z-score for the outcome x=5\displaystyle {x}={5} students are first generation.