Answer:

And if we find the individual probability we got:

And replacing we got:

Step-by-step explanation:
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".
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:

And we can use the complement rule and we got:

And if we find the individual probability we got:

And replacing we got:

Answer: Third option

Step-by-step explanation:
One of the ways of solving a system of equations is by equating the equations and solving for one of the variables.
In this case we have the system:

Note that if
is equal
and also
equals 
Then logically
must be equal to
.
We write equality.

Then the correct answer is the third option.
We can also solve for the variable x

Answer:
D.
Step-by-step explanation:

I am so sorry I don't know I suck at math that's why I use this app I have a tutor though please don't get mad I can't delete it