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
