Assignment:
The number of telephone calls arriving at an exchange during any given minute between noon and 1:00 P.M. on a weekday is a random variable with the following probability distribution.
| x |
P(x) |
| 0 |
0.3 |
| 1 |
0.2 |
| 2 |
0.2 |
| 3 |
0.1 |
| 4 |
0.1 |
| 5 |
0.1 |
a. Verify that P(x) is a probability distribution.
b. Find the cumulative distribution function of the random variable.
c. Use the cumulative distribution function to find the probability that between 12:34 and 12:35 P.M. more than two calls will arrive at the exchange.
Your answer must be typed, double-spaced, Times New Roman font (size 12), one-inch margins on all sides, APA format and also include references.