Say I am about to receive 5 cash prizes and I have the probability of receiving each cash prize. Let's denote a set of cash prizes with $k$. So, below is the set of cash prizes and the set of corresponding probabilities:
$$k=\{65,25,30,54,30\}$$ 
$$p(k)=\{0.8,0.5,0.25,0.2,0.4\}$$

Hence, the expected value of my cash prizes is $$E[k]=65\*0.8+25\*0.5+30\*0.25+54\*0.2+30\*0.4=94.8$$

So, my question is: what is the probability that the sum of the cash prizes will be greater than 85\$? 90$?.

**Attempt**: I did not come up with anything meaningful. I do not know if the question is valid in the first place. Thanks for your help.