A restaurant offers hamburgers with one, two, or three patties. Let X represent the number of patties a randomly chosen customer orders on their hamburger. Based on previous data, here's the probability distribution of X along with summary statistics:

X=# of patties 1 2 3
P(X) 0.40 0.50 0.10
Mean: μX​=1.7
Standard deviation: σX​≈0.67
The total price of each burger is set at $2 per patty. Let T represent the total price a randomly chosen customer pays for their burger. Find the mean of T