After the loan is over, Meredith has the option to drop the comprehensive and collision coverage from her insurance. These cover the cost of repair or replacement if she is an accident. Meredith estimates the probability of her having an accident or having to otherwise file a claim to be $\frac{1}{60}$ for any given month. If she does have an incident, the average cost is $$2,400.$ The comprehensive and collision coverage costs her $$74$ a month, and has a $$500$ deductible, which means she has to cover the first $$500$ of any incident herself before insurance covers the rest.

a$.$ Find the expected value to Meredith for a month of the insurance.