Answer:
A 
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
10.5.
Step-by-step explanation:
By similar  triangles:
IJ / 21 = 8 /(8+8) = 1/2
IJ / 21 = 1/2
IJ = 1/2 * 21
= 10.5.
 
        
             
        
        
        
Answer:  C
Step-by-step explanation:
Rejecting the null hypothesis means we've found a significant difference in the means.  That means the probability that we'd see means so far apart by chance is less than our threshold of significance.
 
        
             
        
        
        
Answer: 0.0187
Step-by-step explanation:
The binomial distribution formula for probability :-
, where P(x) is the probability of getting success in x trials , n is the total number of trials and p is the probability of getting success in each trial.
Given : The probability that the physics majors belong to ethnic minorities =0.33
Number of students selected : n= 8
Now, the probability that more than 5 belong to an ethnic minority :-

Hence, the probability that more than 5 belong to an ethnic minority = 0.0187