Question

A pollster conducts a survey by phone. The probability that a call does not result in a person taking this survey is 85%. ahat is the probability that the pollster makes 3 calls and none result in a person taking the survey​

Answer 1

The probability of a call not resulting in a person taking the survey is 85%, which means the probability of a successful survey (someone taking the survey) is 15%.

To find the probability that 3 calls result in none of them being successful (i.e., nobody takes the survey), we raise the probability of no success (0.85) to the power of 3 (the number of calls):

0.85^3≈0.614125 or approximately 61.41%.

So, the probability that the pollster makes 3 calls and none result in a person taking the survey is about 61.41%.