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? Explain.This probability distribution ---Select--- is is not valid because ---Select--- 1 f(x) 1 f(x) 0 0 x 1 f(x) 0 for

x= 100,000, 200,000, 300,000, 400,000, 500,000, 600,000.

Also,

f(x) = .

(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?