The answer would be 20 because if you multiply the entire equation by five you would get 5n+n=120. Then if you solve that smaller equation it gives you 20.
X=41
a^2+b^2=c^2
9^2+40^2=x^2
It would be 7/48 or the decimal would be 0.15
Answer:
(a)

(b)
-1
(c)
30
Step-by-step explanation:
(a)
Your random variable will have two possible values, 30 and 0, one of them with a probability of 0.45 and the other one with a probability of 0.55. Therefore it looks like this.

(b)
The expected value of this PMF would be
therefore on average you will have a dollar less.
(c)
For this one, if you play 20 times and your initial amount is 50$ then you have to compute the following expectation.
![E[50+20*X] = 50+20*E[X] = 50-20 = 30](https://tex.z-dn.net/?f=E%5B50%2B20%2AX%5D%20%3D%2050%2B20%2AE%5BX%5D%20%3D%2050-20%20%3D%2030)