A. 1-255255/29012901=0.991202017 is the probability of not making an obscene gesture.
b. The probability of none of 5050 making an obscene gesture is (a) raised to the power of 5050: 4.1591E-20 approx. We have not used the 5% rule in this binomial distribution.
        
             
        
        
        
No nodcause it has to me in y=mx+b form. so just sub. 1 from each side
        
             
        
        
        

where 

.
By continuity of 

, you have

As 

 in the numerator, you approach 

; in the denominator, you approach 

. So you have an indeterminate form 

. Provided the limit indeed exists, L'Hopital's rule can be used.

Now the numerator approaches 

, while the denominator approaches 

, suggesting the limit above is 2. This means
