Time Warner Cable provides television and Internet service to over million people. Suppose that the management of Time Warner Cable subjectively assesses a probability distribution for the number of new subscribers next year in the state of New York as follows.

x f(x)

100,000 0.00

200,000 0.21

300,000 0.25

400,000 0.29

500,000 0.12

600,000 0.04


Required:

a. Is this probability distribution valid?

b. What is the probability Time Warner will obtain more than new subscribers?

c. What is the probability Time Warner will obtain fewer than new subscribers?