a. By the product rule,


b. By the same rule,


and


c. You might recognize the coefficients as those that appear in the expansion of
:
1, 1
1, 2, 1
1, 3, 3, 1
1, 4, 6, 4, 1
and so on; the general pattern (known as the general Leibniz rule) is

Answer:
"Absolute value" is the non-negative value of a number, disregarding whether or not it has a sign.
Step-by-step explanation:
"Absolute value" is the non-negative value of a number, disregarding whether or not it has a sign. It can be thought of as how far it is away from the number of 0, whether it's to the left or right. Absolute value of a number is written as |x|, where x = any number. Let's say x was -1. |-1| would be 1 because it's 1 away from 0. If x was just 1, then the number would stay the same.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Let
denote the number of packages brought by customer
. If, for instance,
customers are in line, then the total number of packages is
, and

since the number of packages brought by any customer is independent from the number of packages brought by any other.
a.
is the probability that a total of 3 packages are waiting to get wrapped from among a total of 3 customers. This means each customer must have exactly one package. So

b.
is the probability that a total of 11 packages are brought by 4 customers. The only way for there to be 11 packages is if 3 customers bring 3 packages and the last 1 brings 2. There are
ways this can happen, so

Answer C lil bro that right