A large cable company reports the following: 80% of its customers subscribe to its cable TV service.
44% of its customers subscribe to its Internet service.
29% of its customers subscribe to its telephone service.
25% of its customers subscribe to both its cable TV and Internet service.
20% of its customers subscribe to both its cable TV and phone service.
23% of its customers subscribe to both its Internet and phone service.
15% of its customers subscribe to all three services.
Consider the chance experiment that consists of selecting one of the cable company customers at random. Calculate the following probabilities.
A) P(cable TV only).
B) P(Internet | cable TV).
C) P(exactly services).
D) P(Internet and cable TV only).

Step-by-step explanation:

Given

Solving (a): A) P(cable TV only).

First, we calculate n(cable TV only)

This is calculated as:

The probability is:

Solving (b): P(Internet | cable TV).

This is calculated as:

Solving (c): P(exactly 2 services).

This is calculated as:

Solving (d): P(Internet and cable TV only).

This is calculated as:

step-by-step explanation:

the answer is 128

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9