Final answer:
The cost of sending one text message is $0.11. A text message user receives or sends approximately 1.729 messages per hour. Calculating the probability of receiving or sending two messages per hour requires further statistical analysis.
Step-by-step explanation:
Calculating the Cost Per Text
To calculate the cost of sending text messages, we divide the total cost by the number of texts sent. Arturo spent $12.54 for 114 texts. Following the formula Cost per text = Total cost ÷ Number of texts, we get:
Cost per text = $12.54 ÷ 114 texts
Cost per text = $0.11
Therefore, the cost of sending one text message is $0.11, which makes the answer (a) $0.11.
Text Messages Received or Sent Per Hour
If a text message user receives or sends an average of 41.5 text messages per day, to find out how many messages are sent or received per hour, we would divide this number by 24 (the number of hours in a day). So:
Text messages per hour = 41.5 texts ÷ 24 hours
Text messages per hour = 1.729 (approximately)
Probability of Receiving or Sending Text Messages
The probability that a user receives or sends exactly two messages per hour or more than two messages per hour cannot be calculated precisely without additional information such as the distribution of texts over time. Typically, these probabilities would involve statistics and probability theories such as Poisson or binomial distributions.