The following table shows a partial probability distribution for the MRA Company's projected profits (in thousands of dollars) for the first year of operation (the negative value denotes a loss):
x f(x)
-100 .................................0.10
0 .........................0.20
50 .........................0.30
100 .........................0.25
150 .........................0.10
200
a. Find the missing value of f(200). What is your interpretation of this value?
b. What is the probability that MRA will be profitable?
c. What is the probability that MRA will make at least $100,000?