Question: A sociologist has been studying the criminal justice system in a large metropolitan city. She has found that during a 5 year study that the mean time between a person being arrested and their trial is normally distributed with a mean of 230 days and a standard deviation of 18 days.

1. Based on the above information, what is the probability that a randomly selected person will go to trial less than 207 days after they are arrested? Show the graph of the standard normal distribution. Use 4 decimal places for final answer. 4 points plus 2 points for graph
2. Also based on the above information, what is the probability that a randomly selected person will have to wait between 241 and 298 days before they go to trial? Show the graph of the standard normal distribution. Use 4 decimal places for final answer. 4 points plus 2 points for graph

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