Final answer:
A text message user sends or receives an average of 1.7292 texts per hour based on the average daily messages of 41.5. Exact probabilities for sending two or more than two messages per hour cannot be determined without a probability distribution model.
Step-by-step explanation:
To calculate the number of SMS messages an action group can send in 1 hour, we need to determine the average number of text messages a user sends or receives in an hour. Based on the given data, a text message user sends or receives an average of 41.5 text messages per day.
a. If we assume there are 24 hours in a day, the average number of texts received or sent per hour (X) would be:
41.5 texts per day / 24 hours per day ≈ 1.7292 texts per hour.
b. The probability that a text message user sends or receives two messages per hour depends on additional data concerning distribution, which is not provided in the solution. Typically, you would use a probability distribution model to find this probability.
c. Similarly, to find the probability that a text message user receives or sends more than two messages per hour, we would need to know the distribution of the text messages throughout the day. Without this information, we cannot calculate the exact probability.
In summary, without specific probability distribution data, we cannot determine the exact probabilities for parts b and c. However, the average rate is approximately 1.7292 texts per hour for a typical user.