Answer:
Option 3 is correct that is 
 
        
             
        
        
        
Answer:
a) 4.387
b) Yes, because np & npq are greater than 10.
c) = 0.017          
Step-by-step explanation:
Give data:
p = 0.69
n = 90
a) a
E(X) = np = 62.1

           
           = 4.387
b) 
np = 62.1  
q = 1 - p  = 1 - 0.69 = 0.31
npq = 19.251
Yes, because np & npq are greater than 10.
c.
 [continuity correction]

= P(Z> 2.14 )      
= 1 - P(Z<2.14)              
= 1 - 0.983   (using table)          
= 0.017          
 
        
             
        
        
        
11, 12, 12 is not a triple