Answer:
![P(X>1)= 1-P(X \leq 1)= 1- [P(X=0) +P(X=1)]](https://img.qammunity.org/2021/formulas/mathematics/college/a7juyg00snb266x4mzfyqdpr737y051ibz.png)
And if we use the probability mass function we got:
And replacing we got:
![P(X>1) =1- [0.0256 +0.1536]= 0.8208](https://img.qammunity.org/2021/formulas/mathematics/college/8mglujd08vu2tqqfhowm6opc9od95mrdq2.png)
Explanation:
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:
We want to find the following probability:

And for this case we can use the complement rule and we got:
![P(X>1)= 1-P(X \leq 1)= 1- [P(X=0) +P(X=1)]](https://img.qammunity.org/2021/formulas/mathematics/college/a7juyg00snb266x4mzfyqdpr737y051ibz.png)
And if we use the probability mass function we got:
And replacing we got:
![P(X>1) =1- [0.0256 +0.1536]= 0.8208](https://img.qammunity.org/2021/formulas/mathematics/college/8mglujd08vu2tqqfhowm6opc9od95mrdq2.png)