Question

Q.1 Two Competing companies offer satellite television service to a city with 100,000 households. Show the changes in satellite subscriptions each year. Company A now has 15,000 subscribers and
company B has 20,000 subscribers. How many subscribers will each
company have in one year?​

Answer 1

Step-by-step explanation:

Given Two Competing companies offer satellite television service to a city with 100,000 households. Show the changes in satellite subscriptions each year. Company A now has 15,000 subscribers and company B has 20,000 subscribers. How many subscribers will each  company have in one year?

• Given the satellite service to a city is 1,00,000 households
• So the probability of the matrix will be
• From     A             B                 None        
•             0.7          0.15               0.15   A
• M =      0.2          0.8                 0.15   B
•             0.1         0.05                0.7    None
• Also we have 15000 + 20,000 = 35,000
•                          1,00,000 – 35,000 = 65,000
• Now the matrix representing current subscribers for the companies will be
•                         15,000
•                 N =  20,000
•                         65,000
• So we need to multiply M x N to get MN
•   So     0.7         0.15               0.15     15,000
• M =      0.2          0.8                 0.15     20,000
•             0.1         0.05                0.7      65,000
•  So we get
•       10,500 + 3000 + 9750 = 23,250
•      3000 + 16,000 + 9,750 = 28,750
•      1500 + 1000 + 45,000 = 48,000
•          So we get
•                          23,250
•                         28,750
•                         48,000
• Therefore in one year company A will have 23,250 subscribers and company B will have 28,750 subscribers.

Reference link will be

https://brainly.in/question/3520326