Question

Binomial distribution graph... please help?

Answer 1

they want you to find P, the probability of success.

you can use the formula
given in https://en.wikipedia.org/wiki/Binomial_distribution#Probability_mass_function

Answer 2

the formula says
\[\Pr(k)=\left(\begin{matrix}n \\ k\end{matrix}\right)p^n (1-p)^{n-k}\]

they tell you to assume 2 trials, which means n=2 in the formula.
I would solve using k=2 and use the graph to find Pr(2)= 0.09 (as near as I can judge)
you now have enough info to find P