Recall that for a random variable

following a Bernoulli distribution

, we have the moment-generating function (MGF)

and also recall that the MGF of a sum of i.i.d. random variables is the product of the MGFs of each distribution:

So for a sum of Bernoulli-distributed i.i.d. random variables

, we have

which is the MGF of the binomial distribution

. (Indeed, the Bernoulli distribution is identical to the binomial distribution when

.)
5 and 6 are true but 7 is not true. If you divide an odd number by 2 it's not going to be half of it
Answer:
i think it is f(x)= 10m+0.10s
x= number text messages send
m= months
for example: if you send 200 messages and were in the plan for 3 month the function will go like this;
f(x)= 10(3)+0.10(200)
=30+20
= $50
2.05 rounded to one decimal place is 2.1
Always round up at 5 when rounding.