What is the expected number of heads for danielle's experiment? (enter your answer as a decimal)

I’ve answered this before so here’s the complete given for this problem.

Danielle conducts an experiment by tossing a fair coin three times. She records the number of heads out of the three trials. The probabilities are given in the table below (X = number of heads out of three trials). 

Given:

x 0 1 2 3 
P(x)1/8 3/8 3/8 1/8 

 n = 3; p = 0.5; q = 0.5; P(x = 0) = nCx p^x 
x N(x) P(x) ΣP(x) 1- ΣP(x) x * P(x) 
---  
0 1 0.125 0.125 0.875 0 
1 3 0.375 0.5 0.5 0.375 
2 3 0.375 0.875 0.125 0.75 
3 1 0.125 1 0 0.375 

0+.375+.75+.375 = 1.5

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation:

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x