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

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:

Verification:

Thus, the given probability distribution is a valid distribution.

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500

fwms@lil_ben06

step-by-step explanation: