A pollster conducts a survey by phone. The probability that a call does not result in a person taking this survey is 85%. What is the probability that the pollster makes 4 calls and none result in a person taking the survey?
Prob(non)=.85^4=.53
To find the probability that the pollster makes 4 calls and none of them result in a person taking the survey, we can use the concept of independent events.
The probability of a call not resulting in a person taking the survey is 85%, which means the probability of a call resulting in a person taking the survey is 100% - 85% = 15%.
Since each call is independent of the others, the probability of all four calls not resulting in a person taking the survey can be calculated by multiplying the probabilities of each individual call:
Probability of none of the 4 calls resulting in a person taking the survey = (0.85) × (0.85) × (0.85) × (0.85)
= 0.52200625
Therefore, the probability that the pollster makes 4 calls and none result in a person taking the survey is approximately 0.52200625 or 52.2%.