The two largest cable providers are Concast cable Connections, with 21.5 million subscribers, and Time Warner Cable with 11.0 million subscribers. Suppose 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 |
0.1 |
| 200,000 |
0.2 |
| 300,000 |
0.25 |
| 400,000 |
0.3 |
| 500,000 |
0.1 |
| 600,000 |
0.05 |
a. Is this probability distribution valid? Explain.
b. What is the probability Time Warner will obtain more than 400,000 new subscribers?
c. What is the probability Time Warner will obtain fewer than 200,000 new subscribers?