Suppose is a Binomial random variable for which there are 8 independent trials and probability of success 0.5 and is a Binomial random variable for which there are 10 independent trials and probability of success 0.5. What is the difference in their means?
a. 
1 

b. 
1.25 

c. 
1.5 

d. 
0.5 

e. 
2 
In first case with 8 independent trials and probability of success 0.5
that is n = 8 , p = 0.5
mean = n*p = 8*0.5 = 41
In second case with 10 independent trials and probability of success 0.5
that is n = 10 , p = 0.5
mean = n*p = 10*0.5 = 52
Difference in means is 5  4 = 1
So the option (a) that is 1 is correct option
Hope this will help you.
Remark: for Binomial distribution formula for mean is = n*p
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