Answer:
0.7787, or 77.87% chance
Step-by-step explanation:
To calculate the probability that at least one of the three randomly selected US homes continues to use a landline, we can calculate the complement of the event where none of the three homes uses a landline.
The probability that a single randomly selected US home does not use a landline is 1 - 0.394 = 0.606 (since 39.4% use a landline). Therefore, the probability that none of the three homes use a landline is (0.606)^3 = 0.2213.
To find the probability that at least one of the three homes uses a landline, we subtract the probability of none of them using a landline from 1:
P(at least one landline) = 1 - P(no landlines)
P(at least one landline) = 1 - 0.2213
P(at least one landline) ≈ 0.7787
Rounded to four decimal places, the probability that at least one of the three randomly selected US homes continues to use a landline is approximately 0.7787.