The image presents a probability exercise based on a television show's audience share. Here's the transcription suitable for an educational website:---The television show *September Road* has been successful for many years. That show recently had a share of 24, which means, that among the TV sets in use, 24% were tuned to *September Road*. An advertiser wants to verify that 24% share value by conducting its own survey, and a pilot survey begins with 12 households having TV sets in use at the time of a *September Road* broadcast.1. **Find the probability that none of the households are tuned to *September Road*.** \( P(\text{none}) = \) [ ]2. **Find the probability that at least one household is tuned to *September Road*.** \( P(\text{at least one}) = \) [ ]3. **Find the probability that at most one household is tuned to *September Road*.** \( P(\text{at most one}) = \) [ ]4. **If at most one household is tuned to *September Road*, does it appear that the 24% share value is wrong?** *(Hint: Is the occurrence of at most one household tuned to *September Road* unusual?)* - ( ) yes, it is wrong - ( ) no, it is not wrong--- The exercise invites students to apply probability concepts to evaluate survey findings against a reported audience share statistic.

From the information, given thatLet X denotes the number of roads are tuned to September road which follows binomial distribution with the probability of success 0.24 among which a random sample of 12 household TV sets has been randomly selected. That is,n=12p=0.24The probability that none of the households are tuned to September road is obtained as follows: The required probability is,From Excel, the snip of the distribution used is,The probability that none of the households are tuned to September road is 0.0371..The probability that at least one household is tuned to September Road is obtained as follows: The required probability is,From Excel, the snip of the distribution used is,The probability that at least one household is tuned to September Road is 0.9629.The probability that at most one household is tuned to September road is obtained as follows: The required probability is,From excel, the snip of the distribution used is,The probability that at most one household is tuned to September road is 0.1778.Determine whether at most one household tuned to September Road appears to be unusual or not.It is clear that probability that at most one household is tuned to September road is 0.1778 Where the probability is greater than 0.05 it can be concluded that the value is not Unusual.Correct option: No, it is not wrong.The probability that none of the households are tuned to September road is 0.0371..The probability that at least one household is tuned to September Road is 0.9629.The probability that at most one household is tuned to September road is 0.1778.Correct option: No, it is not wrong.