Question

Spectrum provides cable television and internet service to millions of customers. Suppose that the management of Spectrum 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 0.05 200,000 0.20 300,000 0.25 400,000 0.35 500,000 0.10 600,000 0.05 (a) Is this probability distribution valid

Answer 1

Answer:

The given probability distribution is a valid distribution.

Step-by-step explanation:

We are given the following distribution in the question:

x:   100,000    200,000    300,000    400,000    500,000    600,000

f(x):   0.05          0.20           0.25          0.35         0.10          0.05

We have to predict whether the given is a probability mass function.

Property:

$\displaystyle\sum P(x_i) = 1$

Verification:

$\displaystyle\sum P(x_i) = 0.05 + 0.20 + 0.25+0.35 + 0.10 + 0.05 = 1$

Thus, the given probability distribution is a valid distribution.