Assume that we turn over 10 cards from the top of the shuffled deck and then we count the number of aces that were turned over. Determine whether the process describes a binomial random variable. If it is binomial, give values for n and p. If it is not binomial, state why not.

Yes it describe a  binomial random variable.

Here p= 1/13 n= 10

Step-by-step explanation:

Let us regard the turning over ten cards as an experiment. Then we observe that

1) each turning over a card has two possible outcomes ( ace ) success and

( not ace ) failure.

2) the probability of ace ( success) p = 1/13 and remain constant.

3) the successive turning of cards is independent.

4) the card is turned 10 times.

An experiment having the above characteristics is called a binomial experiment and the variable is called binomial random variable.

Here p= 1/13 n= 10

You need to simplify the function first until the exponent turns into a plain x. step 1 leave 1/3 alone that is the a value, initial value. you are looking for the base

step 2 deal with the parenthesis. factor 24 and you will get 2 and the cube of 3. 

step 3 separate the exponent (2) (x)

step 4 now square each term inside the parenthesis
2 squared and cube of 3 square  the 2^2 will be 4, the other expression means  cube of 3 times cube of 3 and that's cube of 9

step 5 your base should be (4 cube of 9)