Question

Time Warner Cable provides television and Internet service to millions of customers. Sup-pose that the management of Time Warner Cable subjectively assesses a probability dis-tribution for the number of new subscribers next year in the state of New York as follows. x f(x) 100,000 .10 200,000 .20 300,000 .25 400,000 .30 500,000 .10 600,000 .05a. Is this probability distribution valid

Answer 1

Answer: yes, it is valid

Explanation:

Given the following probability distribution :

X ________f(x)

100,000___ .10

200,000__ .20

300,000 __ .25

400,000 __ .30

500,000 ___.10

600,000 ___.05

To examine the validity of the distribution :

Each individual observation or point must have probability value in within the range (0 < p ≤ 1)

Where p = probability value.

The sum of the individual probabilities must add up to 0

(0.1 + 0.2 + 0.25 + 0.3 + 0.1 + 0.05)

= 1

Since the two consitions are meet, then, the probability distribution is valid