Answer:
Step-by-step explanation:
1) Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
2) Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:
For this problem the work would look like this:

Multiply -2 to both sides to isolate w.

Notice that the sign flips! This is because anytime a negative numbers transfers to the other side of the inequality the inequality flips directions.

Now this should be the solution once solving.
The attached picture below shows the graph.
Hope this helps!
I think the answer is 2/2
So on one galon of gas car A would travel 33 1/3 miles, while car B would travel 29 1/3 miles. Answer: Car A
A: 400 / 12 = 33 1/3
B: 440 / 15 = 29 1/3