Answer:
42 cents
Step-by-step explanation:
Data provided in the question:
Random variable i.e gain with values 3,2,1,-1.
Now,
The corresponding probabilities will be as follows:




Expected gain = 
Expected gain = ![(\frac 13)^{3}[3+6+3-(0.7407)]](https://tex.z-dn.net/?f=%28%5Cfrac%2013%29%5E%7B3%7D%5B3%2B6%2B3-%280.7407%29%5D)
![=(\frac 16)^{3}[11.2593]=0.4170](https://tex.z-dn.net/?f=%3D%28%5Cfrac%2016%29%5E%7B3%7D%5B11.2593%5D%3D0.4170)
≈ 42 cents
11/12 of 7 is simply their product.

Answer:
Nevermind.....I was incorrect, sorry I can't help!
Mean = sum/N
7 = 42/N
N = 42/7 . . . . . multiply by N/7
N = 6
There are 6 scores in the population