Question

A recent survey suggests that 47% of all televisions are connected to the internet, 32% are voice controlled, and 22% are both connected to the internet and voice controlled. Suppose a television is selected at random and it is voice controlled. What is the probability that a randomly selected voice-controlled television is also connected to the internet?
A. 0.15
B. 0.47
C. 0.69
D. 0.79

Answer 1

Answer:

0.69

Step-by-step explanation:

Here, we want to find the probability that a randomly selected television is connected to the internet given that it is voice-controlled

let P(V) is the probability of selecting a voice controlled television

P(I) is the probability that a selected television is connected to the internet

So the probability we want to calculate according to Baye’s theorem will be;

P(I|V) = P(I n V)/P(V)

P( I n V) = 22%

P(V) = 32%

So the probability is;

22%/32% = 0.6875 which is approximately 0.69