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 0.10 200,000 0.20 300,000 0.25 400,000 0.30 500,000 0.10 600,000 0.05 (a) Is this probability distribution valid? Explain. This probability distribution is valid because f(x) ≥ 0 for x = 100,000, 200,000, 300,000, 400,000, 500,000, 600,000. Also, Σf(x) = 1. (b) What is the probability Spectrum will obtain more than 400,000 new subscribers? _. (c) What is the probability Spectrum will obtain fewer than 200,000 new subscribers? _.

          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   0.10
200,000   0.20
300,000   0.25
400,000   0.30
500,000   0.10
600,000   0.05

(a) Is this probability distribution valid? Explain.
This probability distribution is valid because f(x) ≥ 0 for x = 100,000, 200,000, 300,000, 400,000, 500,000, 600,000.

Also, Σf(x) = 1.

(b) What is the probability Spectrum will obtain more than 400,000 new subscribers?
___.

(c) What is the probability Spectrum will obtain fewer than 200,000 new subscribers?
___.

Added by Cheryl L.

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